Relevant bibliographies by topics / Free boundary model

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Free boundary model'

Author: Grafiati
Published: 2 November 2024
Last updated: 31 July 2025

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Journal articles on the topic "Free boundary model"

1

Lions, P. L., and N. Masmoudi. "On a free boundary barotropic model." Annales de l'Institut Henri Poincare (C) Non Linear Analysis 16, no. 3 (1999): 373–410. http://dx.doi.org/10.1016/s0294-1449(99)80018-3.

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Yi,, Tong Y., and Parviz E. Nikravesh. "Extraction of Free-Free Modes from Constrained Vibration Data for Flexible Multibody Models." Journal of Vibration and Acoustics 123, no. 3 (2001): 383–89. http://dx.doi.org/10.1115/1.1375814.

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This paper presents a method for identifying the free-free modes of a structure by utilizing the vibration data of the same structure with boundary conditions. In modal formulations for flexible body dynamics, modal data are primary known quantities that are obtained either experimentally or analytically. The vibration measurements may be obtained for a flexible body that is constrained differently than its boundary conditions in a multibody system. For a flexible body model in a multibody system, depending upon the formulation used, we may need a set of free-free modal data or a set of constr
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Liu, Yunfeng, Zhiming Guo, Mohammad El Smaily, and Lin Wang. "A Wolbachia infection model with free boundary." Journal of Biological Dynamics 14, no. 1 (2020): 515–42. http://dx.doi.org/10.1080/17513758.2020.1784474.

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Kim, Kwang Ik, Zhigui Lin, and Qunying Zhang. "An SIR epidemic model with free boundary." Nonlinear Analysis: Real World Applications 14, no. 5 (2013): 1992–2001. http://dx.doi.org/10.1016/j.nonrwa.2013.02.003.

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Baker, Ruth E., Andrew Parker, and Matthew J. Simpson. "A free boundary model of epithelial dynamics." Journal of Theoretical Biology 481 (November 2019): 61–74. http://dx.doi.org/10.1016/j.jtbi.2018.12.025.

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Elmurodov, Alimardon, Abduraxmon Norov, N. Yuldasheva, Sanjarbek Yuldashev, and Mavjuda Sadullayeva. "Free boundary problem for predator-prey model." E3S Web of Conferences 401 (2023): 04062. http://dx.doi.org/10.1051/e3sconf/202340104062.

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In this article, we study the behavior of two species evolving in a domain with a free boundary. This system mimics the spread of invasive or new predator species, in which free boundaries represent the expanding fronts of predator species and are described by the Stefan condition. A priori estimates for the required functions are established. These estimates are used to prove the existence and uniqueness of the solution.
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Yin, Hai Bin, Yu Feng Li, Yan Zhao, and Pei Juan Cui. "Theoretical and Experimental Investigation on Modal Characteristics of Rotating Flexible Beam under Dynamic Boundary Conditions." Applied Mechanics and Materials 518 (February 2014): 33–40. http://dx.doi.org/10.4028/www.scientific.net/amm.518.33.

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In order to exactly formulate the dynamics and solve the flexible vibration in the studies on the flexible structure, it is inevitable to study the modal characteristics of the flexible structure; while the accuracy of the modal characteristics relies on the choice of its boundary conditions. This paper investigates the modal characteristics of a flexible beam considering dynamic boundary conditions. Firstly, the first three mode shape functions and frequencies of a sliding-mass beam model are obtained through theoretical solutions. The concept of dynamic boundary conditions is brought forward
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Petrova, A. G., and V. V. Pukhnachev. "Free Boundary Problem in a Polymer Solution Model." Russian Journal of Mathematical Physics 28, no. 1 (2021): 96–103. http://dx.doi.org/10.1134/s1061920821010106.

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Takhirov, J. O., and A. Norov. "On a predator-prey model with free boundary." Uzbek Mathematical Journal 2019, no. 4 (2019): 162–68. http://dx.doi.org/10.29229/uzmj.2019-4-17.

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Tambyah, Tamara A., Ryan J. Murphy, Pascal R. Buenzli, and Matthew J. Simpson. "A free boundary mechanobiological model of epithelial tissues." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 476, no. 2243 (2020): 20200528. http://dx.doi.org/10.1098/rspa.2020.0528.

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In this study, we couple intracellular signalling and cell-based mechanical properties to develop a novel free boundary mechanobiological model of epithelial tissue dynamics. Mechanobiological coupling is introduced at the cell level in a discrete modelling framework, and new reaction–diffusion equations are derived to describe tissue-level outcomes. The free boundary evolves as a result of the underlying biological mechanisms included in the discrete model. To demonstrate the accuracy of the continuum model, we compare numerical solutions of the discrete and continuum models for two different
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Dissertations / Theses on the topic "Free boundary model"

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Tambyah, Tamara. "A novel free boundary mathematical model of epithelial tissues with mechanobiological coupling." Thesis, Queensland University of Technology, 2020. https://eprints.qut.edu.au/205987/1/Tamara_Tambyah_Thesis.pdf.

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Epithelial tissues are known to deform in response to chemical signals and mechanical forces or due to trauma, such as tumours and wounds. In this thesis, a novel free boundary mathematical model of epithelial tissues with mechanobiological coupling is developed to study how the deformation of epithelial tissues impacts tumour growth and wound healing. Mechanobiological coupling is introduced in a discrete modelling framework and new reaction-diffusion equations are derived. Case studies involving the Rac-Rho pathway and activator-inhibitor patterning demonstrate that the reaction-diffusion eq
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Teles, da Silva A. F. "Application of boundary integral methods to the study of steep free surface waves." Thesis, University of Bristol, 1989. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.279782.

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Heitzman, Michael Thomas Chicone Carmen Charles. "A free boundary gas dynamic model as a two-body field theory problem." Diss., Columbia, Mo. : University of Missouri--Columbia, 2009. http://hdl.handle.net/10355/7017.

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Title from PDF of title page (University of Missouri--Columbia, viewed on Feb 26, 2010). The entire thesis text is included in the research.pdf file; the official abstract appears in the short.pdf file; a non-technical public abstract appears in the public.pdf file. Dissertation advisor: Professor Carmen Chicone. Vita. Includes bibliographical references.
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Glasner, Karl. "Multilayered Equilibria in a Density Functional Model of Copolymer-solvent Mixtures." SIAM PUBLICATIONS, 2017. http://hdl.handle.net/10150/624087.

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This paper considers a free energy functional and corresponding free boundary problem for multilayered structures which arise from a mixture of a block copolymer and a weak solvent. The free boundary problem is formally derived from the limit of large solvent/polymer segregation and intermediate segregation between monomer species. A change of variables based on Legendre transforms of the effective bulk energy is used to explicitly construct a family of equilibrium solutions. The second variation of the effective free energy of these solutions is shown to be positive. This result is used to sh
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Sidahmed, Abdelmgid Osman Mohammed. "Mesh free methods for differential models in financial mathematics." Thesis, University of the Western Cape, 2011. http://etd.uwc.ac.za/index.php?module=etd&action=viewtitle&id=gen8Srv25Nme4_3917_1319185202.

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Many problems in financial world are being modeled by means of differential equation. These problems are time dependent, highly nonlinear, stochastic and heavily depend on the previous history of time. A variety of financial products exists in the market, such as forwards, futures, swaps and options. Our main focus in this thesis is to use the numerical analysis tools to solve some option pricing problems. Depending upon the inter-relationship of the financial derivatives, the dimension of the associated problem increases drastically and hence conventional methods (for example, the finite diff
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Wanntorp, Henrik. "Optimal Stopping and Model Robustness in Mathematical Finance." Doctoral thesis, Uppsala : Department of Mathematics, Uppsala University, 2008. http://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-9516.

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Formentin, Marco. "Two problems concerning interacting systems: 1. On the purity of the free boundary condition Potts measure on Galton-Watson trees 2. Uniform propagation of chaos in some spin-flip models." Doctoral thesis, Università degli studi di Padova, 2009. http://hdl.handle.net/11577/3426494.

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Abstract: A rigorous approach to Statistical Physics issues often produces interesting mathematical questions. This Ph.D. thesis is composed of two different parts. One does not intersect the other, but both research topics lie at the interface between Probability Theory and Statistical Mechanics. • In the first part we deal with reconstruction of a tree-indexedMarkov chain on Galton-Watson trees, improving previous bound byMossel and Peres, both for symmetric and strongly asymmetric chains. Moreover, we give some numerical estimates to compare our bound with those of other authors. We provi
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Bu, Tianren. "Option pricing under exponential jump diffusion processes." Thesis, University of Manchester, 2018. https://www.research.manchester.ac.uk/portal/en/theses/option-pricing-under-exponential-jump-diffusion-processes(0dab0630-b8f8-4ee8-8bf0-8cd0b9b9afc0).html.

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The main contribution of this thesis is to derive the properties and present a closed from solution of the exotic options under some specific types of Levy processes, such as American put options, American call options, British put options, British call options and American knock-out put options under either double exponential jump-diffusion processes or one-sided exponential jump-diffusion processes. Compared to the geometric Brownian motion, exponential jump-diffusion processes can better incorporate the asymmetric leptokurtic features and the volatility smile observed from the market. Prici
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Jiang, An. "American Spread Option Pricing with Stochastic Interest Rate." BYU ScholarsArchive, 2016. https://scholarsarchive.byu.edu/etd/5987.

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In financial markets, spread option is a derivative security with two underlying assets and the payoff of the spread option depends on the difference of these assets. We consider American style spread option which allows the owners to exercise it at any time before the maturity. The complexity of pricing American spread option is that the boundary of the corresponding partial differential equation which determines the option price is unknown and the model for the underlying assets is two-dimensional.In this dissertation, we incorporate the stochasticity to the interest rate and assume that it
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Coelho, Afonso Valente Ricardo de Seabra. "American options and the Black-Scholes Model." Master's thesis, Instituto Superior de Economia e Gestão, 2020. http://hdl.handle.net/10400.5/20735.

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Mestrado em Mathematical Finance<br>Os problemas de apreçamento de opções têm sido um dos principais assuntos de em Matemática Financeira, desde a criação desse conceito nos anos 70. Mais especificamente, as opções americanas são de grande interesse nesta área do conhecimento porque são matematicamente muito mais complexas do que as opções europeias padrão e o modelo de Black-Scholes não fornece, na maioria dos casos, uma fórmula explícita para a determinação do preço deste tipo de opções. Nesta dissertação, mostramos como o estudo de opções americanas conduz à análise de problemas de frontei
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Books on the topic "Free boundary model"

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International Conference on Computational Modelling of Free and Moving Boundary Problems (3rd 1995 Bled, Slovenia). Computational modelling of free and moving boundary problems III. Edited by Wrobel L. C. 1952-, Šarler B, Brebbia C. A, Wessex Institute of Technology, and Univerza v Ljubljani. Laboratory for Fluid Dynamics and Thermodynamics. Computational Mechanics Publications, 1995.

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International, Conference on Computational Modelling of Free and Moving Boundary Problems (2nd 1993 Milan Italy). Computational modelling of free and moving boundary problems II: Second International Conference on Computational Modelling of Free and Moving Boundary Problems 93. Computational Mechanics Publications co-published with, 1993.

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1952-, Wrovel L. C., and Brebbia C. A, eds. Computational methods for free and moving boundary problems in heat and fluid flow. Computational Mechanics Publications, 1993.

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K, Wideman J., and United States. National Aeronautics and Space Administration., eds. Skin-friction measurements in a 3-D, supersonic shock-wave/boundary-layer interaction: 32nd Aerospace Sciences Meeting & Exhibit, January 10-13, 1994/Reno, NV. American Institute of Aeronautics and Astronautics, 1994.

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S, Bookout Paul, and United States. National Aeronautics and Space Administration., eds. Measurement of residual flexibility for substructures having prominent flexible interfaces. National Aeronautics and Space Administration, 1994.

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S, Bookout Paul, and United States. National Aeronautics and Space Administration., eds. Measurement of residual flexibility for substructures having prominent flexible interfaces. National Aeronautics and Space Administration, 1994.

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K, Wideman J., and United States. National Aeronautics and Space Administration., eds. Skin-friction measurements in a 3-D, supersonic shock-wave/boundary-layer interaction: 32nd Aerospace Sciences Meeting & Exhibit, January 10-13, 1994/Reno, NV. American Institute of Aeronautics and Astronautics, 1994.

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K, Wideman J., and United States. National Aeronautics and Space Administration., eds. Skin-friction measurements in a 3-D, supersonic shock-wave/boundary-layer interaction: 32nd Aerospace Sciences Meeting & Exhibit, January 10-13, 1994/Reno, NV. American Institute of Aeronautics and Astronautics, 1994.

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International Conference on Computational Modelling of Free and Moving Boundary Problems (1st 1991 Southampton, England). Computational modelling of free and moving boundary problems: Proceedings of the first International Conference, held 2-4, July, 1991, Southampton, U.K. Edited by Wrobel L. C. 1952- and Brebbia C. A. Computational Mechanics Publications co-published with, 1991.

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Center, Ames Research, ed. Improved two-equation k - [omega] turbulence models for aerodynamic flows. National Aeronautics and Space Administration, Ames Research Center, 1992.

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Book chapters on the topic "Free boundary model"

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Henseler, Reiner, Barbara Niethammer, and Felix Otto. "A Reduced Model for Simulating Grain Growth." In Free Boundary Problems. Birkhäuser Basel, 2003. http://dx.doi.org/10.1007/978-3-0348-7893-7_14.

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Shirakawa, Ken, Akio Ito, and Atsushi Kadoya. "Solvability for a PDE Model of Regional Economic Trend." In Free Boundary Problems. Birkhäuser Basel, 2006. http://dx.doi.org/10.1007/978-3-7643-7719-9_39.

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Tao, Youshan, and Qian Guo. "Simulation of a Model of Tumors with Virus-therapy." In Free Boundary Problems. Birkhäuser Basel, 2006. http://dx.doi.org/10.1007/978-3-7643-7719-9_42.

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Penrose, Oliver, and J. W. Cahn. "A Mathematical Model for Diffusion-induced Grain Boundary Motion." In Free Boundary Problems. Birkhäuser Basel, 2003. http://dx.doi.org/10.1007/978-3-0348-7893-7_19.

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Segatti, Antonio. "Global Attractors for the Quasistationary Phase Field Model: a Gradient Flow Approach." In Free Boundary Problems. Birkhäuser Basel, 2006. http://dx.doi.org/10.1007/978-3-7643-7719-9_37.

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Bellettini, Giovanni, and Riccardo March. "Asymptotic Properties of the Nitzberg-Mumford Variational Model for Segmentation with Depth." In Free Boundary Problems. Birkhäuser Basel, 2006. http://dx.doi.org/10.1007/978-3-7643-7719-9_8.

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Capasso, Vincenzo, Ramon Escobedo, and Claudia Salani. "Moving Bands and Moving Boundaries in an Hybrid Model for the Crystallization of Polymers." In Free Boundary Problems. Birkhäuser Basel, 2003. http://dx.doi.org/10.1007/978-3-0348-7893-7_6.

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Clarelli, F., B. De Filippo, and R. Natalini. "A Free-Boundary Model of Corrosion." In Mathematics in Industry. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-23413-7_131.

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Hoffmann, K. H., and Kunkun Liu. "A thermodynamical model of ferromagnetism and its numerical simulation." In Numerical Methods for Free Boundary Problems. Birkhäuser Basel, 1991. http://dx.doi.org/10.1007/978-3-0348-5715-4_15.

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Juárez, L. H., P. Saavedra, and M. Salazar. "Computational Study of a Free-Boundary Model." In Advances in Optimization and Numerical Analysis. Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-015-8330-5_16.

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Conference papers on the topic "Free boundary model"

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Lubashevsky, Igor A., Alexander V. Priezzhev, Vasyl V. Gafiychuk, and Meruzhan G. Cadjan. "Free-boundary model for local thermal coagulation." In Photonics West '96, edited by Steven L. Jacques. SPIE, 1996. http://dx.doi.org/10.1117/12.239559.

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Elmurodov, Alimardon, Ibodat Khaldibaeva, and Nurila Yuldoshev. "Predator-prey model with a free boundary." In PROBLEMS IN THE TEXTILE AND LIGHT INDUSTRY IN THE CONTEXT OF INTEGRATION OF SCIENCE AND INDUSTRY AND WAYS TO SOLVE THEM: PTLICISIWS-2. AIP Publishing, 2024. http://dx.doi.org/10.1063/5.0201883.

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Lubashevsky, Igor A., Alexander V. Priezzhev, V. V. Gafiychuk, and Meruzhan G. Cadjan. "Dynamic free-boundary model for laser thermal tissue coagulation." In BiOS Europe '96, edited by Hansjoerg Albrecht, Guy P. Delacretaz, Thomas H. Meier, Rudolf W. Steiner, and Lars O. Svaasand. SPIE, 1996. http://dx.doi.org/10.1117/12.260722.

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Yi, Thomas T. "Free-Free Vibration Extraction From Available Vibration Data." In ASME 2000 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2000. http://dx.doi.org/10.1115/imece2000-1255.

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Abstract This paper presents a procedure for identifying the free-free vibration data of a structure from the available vibration data of the same structure with boundary conditions. For a structure in a mechanical system, depending upon the dynamic formulation used, we may need a set of free-free modal data or a set of constrained modal data. If a finite element model of the structure is available, its vibration data can be obtained analytically under any desired boundary conditions. However, if a finite element model is not available, the vibration data may be determined experimentally. Sinc
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Orzechowski, Grzegorz, and Aki M. Mikkola. "Boundary Conditions and Craig-Bampton Substructuring Technique With Free-Free Modes." In ASME 2017 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/detc2017-67397.

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The floating frame of reference formulation allows for description of the kinematics of a deformable body using generalized coordinates that define the body local reference frame and deformations with respect to that frame. In practical applications, the formulation need to be used in conjunction with of a model order reduction approach. The paper investigates the usage of the model reduction through the Craig-Bampton method with the mean-axis reference frame conditions. Analysis involves static numerical examples of the beam structures, modeled using commercial packages with different boundar
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Elmurodov, Alimardon, Muyassar Hidoyatova, and Zardila Shakhobiddiova. "On the free boundary problem for the predator-prey model." In NOVEL TRENDS IN RHEOLOGY IX. AIP Publishing, 2023. http://dx.doi.org/10.1063/5.0156674.

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Yi, Tong Y., and Parviz E. Nikravesh. "Identification of Free-Free Modes From Constrained Vibration Data for Flexible Multibody Models." In ASME 1999 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1999. http://dx.doi.org/10.1115/detc99/vib-8231.

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Abstract This paper presents a method for identifying the free-free modes of a structure by utilizing the vibration data of the same structure with boundary conditions. In modal formulations for flexible body dynamics, modal data are primary known quantities that are obtained either experimentally or analytically. The vibration measurements may be obtained for a flexible body that is constrained differently than its boundary conditions in a multibody system. For a flexible body model in a multibody system, depending upon the formulation used, we may need a set of free-free modal data or a set
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Volino, Ralph J. "A New Model for Free-Stream Turbulence Effects on Boundary Layers." In ASME 1997 International Gas Turbine and Aeroengine Congress and Exhibition. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/97-gt-122.

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A model has been developed to incorporate more of the physics of free-stream turbulence effects into boundary layer calculations. The transport in the boundary layer is modeled using three terms: 1) the molecular viscosity, ν; 2) the turbulent eddy viscosity, εT, as used in existing turbulence models; and 3) a new free-stream induced eddy viscosity, εf. The three terms are added to give an effective total viscosity. The free-stream induced viscosity is modeled algebraically with guidance from experimental data. It scales on the rms fluctuating velocity in the free-stream, the distance from the
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Elmurodov, Alimardon, Nurilla Yuldashev, Rustam Maqsudov, and Gulnoz Abdikayimova. "A Leslie-Gower predator-prey model with a two-free boundary." In 2022 International Conference on Information Science and Communications Technologies (ICISCT). IEEE, 2022. http://dx.doi.org/10.1109/icisct55600.2022.10146896.

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Johnson, Mark W. "A Bypass Transition Model for Boundary Layers." In ASME 1993 International Gas Turbine and Aeroengine Congress and Exposition. American Society of Mechanical Engineers, 1993. http://dx.doi.org/10.1115/93-gt-090.

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Experimental data for laminar boundary layers developing below a turbulent free stream shows that the fluctuation velocities within the boundary layer increase in amplitude until some critical level is reached which initiates transition. In the near wall region, a simple model, containing a single empirical parameter which depends only on the turbulence level and length scale, is derived to predict the development of the velocity fluctuations in laminar boundary layers with favourable, zero or adverse pressure gradients. A simple bypass transition model which considers the streamline distortio
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Reports on the topic "Free boundary model"

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Bhushan, Shanti, Greg Burgreen, Wesley Brewer, and Ian Dettwiller. Assessment of neural network augmented Reynolds averaged Navier Stokes turbulence model in extrapolation modes. Engineer Research and Development Center (U.S.), 2025. https://doi.org/10.21079/11681/49702.

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A machine-learned model enhances the accuracy of turbulence transport equations of RANS solver and applied for periodic hill test case. The accuracy is investigated in extrapolation modes. A parametric study is also performed to understand the effect of network hyperparameters on training and model accuracy and to quantify the uncertainty in model accuracy due to the non-deterministic nature of the neural network training. For any network, less than optimal mini-batch size results in overfitting, and larger than optimal reduces accuracy. Data clustering is an efficient approach to prevent the
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Trahan, Corey, Jing-Ru Cheng, and Amanda Hines. ERDC-PT : a multidimensional particle tracking model. Engineer Research and Development Center (U.S.), 2023. http://dx.doi.org/10.21079/11681/48057.

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This report describes the technical engine details of the particle- and species-tracking software ERDC-PT. The development of ERDC-PT leveraged a legacy ERDC tracking model, “PT123,” developed by a civil works basic research project titled “Efficient Resolution of Complex Transport Phenomena Using Eulerian-Lagrangian Techniques” and in part by the System-Wide Water Resources Program. Given hydrodynamic velocities, ERDC-PT can track thousands of massless particles on 2D and 3D unstructured or converted structured meshes through distributed processing. At the time of this report, ERDC-PT support
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Bizer, Kilian, and Martin Führ. Responsive Regulierung für den homo oeconomicus institutionalis – Ökonomische Verhaltenstheorie in der Verhältnismäßigkeitsprüfung. Sonderforschungsgruppe Institutionenanalyse, 2001. http://dx.doi.org/10.46850/sofia.393379529x.

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The starting point of the research project was the hypothesis that the "principle of proportionality", which is fundamental to law, is related to the "economic principle". The resulting methodological similarities were intended to enable a cross-disciplinary bridge to be built, which would allow the findings of economic analysis to be made fruitful for legal issues. This was practically tested in three study areas in order to be able to better classify the performance of the analytical tools. The foundations for interdisciplinary bridge building are found in the rational-choice paradigm. In bo
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Tire Experimental Characterization Using Contactless Measurement Methods. SAE International, 2021. http://dx.doi.org/10.4271/2021-01-1114.

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In the frame of automotive Noise Vibration and Harshness (NVH) evaluation, inner cabin noise is among the most important indicators. The main noise contributors can be identified in engine, suspensions, tires, powertrain, brake system, etc. With the advent of E-vehicles and the consequent absence of the Internal Combustion Engine (ICE), tire/road noise has gained more importance, particularly at mid-speed driving and in the spectrum up to 300 Hz. At the state of the art, the identification and characterization of Noise and Vibration sources rely on pointwise sensors (microphones, accelerometer
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