Academic literature on the topic 'Boundary value problem of thermoelasticity'

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Journal articles on the topic "Boundary value problem of thermoelasticity"

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YAKUBOV, YAKOV. "COMPLETENESS OF ROOT FUNCTIONS AND ELEMENTARY SOLUTIONS OF THE THERMOELASTICITY SYSTEM." Mathematical Models and Methods in Applied Sciences 05, no. 05 (1995): 587–98. http://dx.doi.org/10.1142/s0218202595000346.

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In this paper we prove the completeness of the root functions (eigenfunctions and associated functions) of an elliptic system (in the sense of Douglis-Nirenberg) corresponding to the thermoelasticity system with the Dirichlet boundary value condition. The problem is considered in a domain with a non-smooth boundary. Then an initial boundary value problem corresponding to the thermoelasticity system with the Dirichlet boundary value condition is considered. We find sufficient conditions that guarantee an approximation of a solution to the initial boundary value problem by linear combinations of
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Khaldjigitov, Abduvali, Umidjon Djumayozov, Zebo Khasanova, and Robiya Rakhmonova. "Study on coupled problems of thermoelasticity in Strains." E3S Web of Conferences 497 (2024): 02008. http://dx.doi.org/10.1051/e3sconf/202449702008.

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In the work, within the framework of the strain compatibility conditions of Saint-Venant, two equivalent dynamic boundary value problems of thermoelasticity with respect to strains are formulated. In the case of the first boundary value problem, the dynamic equations of thermoelasticity are obtained from the compatibility conditions, in the second case, instead of the first three equations of thermoelasticity, the equations of motion expressed with respect to deformations are considered. Discrete analogues of boundary value problems are constructed using the finite-difference method in the for
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Djumayozov, Umidjon, and Nigora Eshmanova. "Coupled Problem on Thermo-Elasticity in Strains for an Isotropic Parallelepiped." E3S Web of Conferences 497 (2024): 02016. http://dx.doi.org/10.1051/e3sconf/202449702016.

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This work is devoted to mathematical and numerical modeling of the coupled dynamic problem of thermoelasticity in deformations. A numerically related boundary value problem of thermoelasticity in deformations for a parallelepiped with the corresponding initial and boundary conditions is formulated and solved. Grid equations are constructed using the finite-difference method in the form of explicit and implicit schemes. In this case, the solution of the explicit scheme is reduced to recurrent relations with respect to deformations and temperature. In the case of implicit difference schemes, the
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Khaldjigitov, Abduvali, Umidjon Djumayozov, Zebo Khasanova, and Robiya Rakhmonova. "Numerical Solution of the Plane Problem of Thermo-Elasticity in Strains." E3S Web of Conferences 563 (2024): 02019. http://dx.doi.org/10.1051/e3sconf/202456302019.

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In the work, within the framework of the Saint-Venant compatibility conditions, two plane problems of thermoelasticity with respect to deformations are formulated. The closedness of boundary value problems is achieved by considering equilibrium equations on the boundary of a given region. Grid equations of thermoelastic problems are compiled using the finite-difference method and solved by the alternative method. The problem of a free thermoelastic rectangle located in a given temperature field is solved numerically. The validity of the formulated boundary value problems and the reliability of
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Belova, M. M., V. M. Goncharenko, and S. S. Protsenko. "Numerical method for solving a boundary-value problem of thermoelasticity." Journal of Soviet Mathematics 58, no. 5 (1992): 443–46. http://dx.doi.org/10.1007/bf01100071.

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Racke, Reinhard. "On the time-asymptotic behaviour of solutions in thermoelasticity." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 107, no. 3-4 (1987): 289–98. http://dx.doi.org/10.1017/s0308210500031164.

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SynopsisWe consider initial boundary value problems for the equations of linear thermoelasticity in both bounded and unbounded domains and for both nonhomogeneous and anisotropic media. For bounded domains, it is shown that the unique solution of the problem is time-asymptotically equal to the solution of a particular initial boundary value problem which is obtained from a natural decomposition of the original initial data and which represents a (in general non-vanishing) time harmonic part. For the unbounded case similar results are obtained, but now in the sense of weak convergence which lea
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Bitsadze, Lamara. "Boundary Value Problems of Thermoelasticity for Porous Sphere and for A Space with Spherical Cavity." Brilliant Engineering 3, no. 1 (2021): 1–10. http://dx.doi.org/10.36937/ben.2022.4501.

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This article is concerned with the coupled linear quasi-static theory of thermoelasticity for porous materials under local thermal equilibrium. The system of equations is based on the constitutive equations, Darcy's law of the flow of a fluid through a porous medium, Fourier's law of heat conduction, the equations of equilibrium, fluid mass conservation and heat transfer. The system of governing equations is expressed in terms of displacement vector field, the change of volume fraction of pores, the change of fluid pressure in pore network and the variation of temperature of porous material. T
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Yuqiu, Zhao. "On plane displacement boundary value problem of quasi–static linear thermoelasticity." Applicable Analysis 56, no. 1-2 (1995): 117–29. http://dx.doi.org/10.1080/00036819508840314.

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Podil'chuk, Yu N., and A. M. Kirichenko. "Boundary-value problem of thermoelasticity in displacements for an elongated spheroid." Journal of Soviet Mathematics 66, no. 3 (1993): 2299–306. http://dx.doi.org/10.1007/bf01229600.

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Jiang, Song. "Global existence of smooth solutions in one-dimensional nonlinear thermoelasticity." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 115, no. 3-4 (1990): 257–74. http://dx.doi.org/10.1017/s0308210500020631.

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SynopsisWe consider the initial boundary value problem for the equations of one-dimensional nonlinear thermoelasticity in ℝ+; and prove a global existence-uniqueness theorem for small smooth data. The asymptotic behaviour is simultaneously obtained.
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Dissertations / Theses on the topic "Boundary value problem of thermoelasticity"

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Fernando, Chathuri [Verfasser]. "Optimal Control of Free Boundary Value Problems in Thermoelasticity / Chathuri Fernando." München : Verlag Dr. Hut, 2018. http://d-nb.info/1164294075/34.

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Jentsch, Lothar, and David Natroshvili. "Three-dimensional mathematical Problems of thermoelasticity of anisotropic Bodies." Universitätsbibliothek Chemnitz, 1998. http://nbn-resolving.de/urn:nbn:de:bsz:ch1-199800967.

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CHAPTER I. Basic Equations. Fundamental Matrices. Thermo-Radiation Conditions 1. Basic differential equations of thermoelasticity theory 2. Fundamental matrices 3. Thermo-radiating conditions. Somigliana type integral representations CHAPTER II. Formulation of Boundary Value and Interface Problems 4. Functional spaces 5. Formulation of basic and mixed BVPs 6. Formulation of crack type problems 7. Formulation of basic and mixed interface problems CHAPTER III. Uniqueness Theorems 8. Uniqueness theorems in pseudo-oscillation problems 9. Uniqueness theorems in steady state oscillation problems
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Fei, Zhiling. "Refinements of geodectic boundary value problem solutions." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 2000. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape4/PQDD_0019/NQ54776.pdf.

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Bondarenko, Oleksandr. "Optimal Control for an Impedance Boundary Value Problem." Thesis, Virginia Tech, 2010. http://hdl.handle.net/10919/36136.

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We consider the analysis of the scattering problem. Assume that an incoming time harmonic wave is scattered by a surface of an impenetrable obstacle. The reflected wave is determined by the surface impedance of the obstacle. In this paper we will investigate the problem of choosing the surface impedance so that a desired scattering amplitude is achieved. We formulate this control problem within the framework of the minimization of a Tikhonov functional. In particular, questions of the existence of an optimal solution and the derivation of the optimality conditions will be addressed.<br>Master
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Harutjunjan, Gohar, and Bert-Wolfgang Schulze. "The Zaremba problem with singular interfaces as a corner boundary value problem." Universität Potsdam, 2004. http://opus.kobv.de/ubp/volltexte/2008/2685/.

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We study mixed boundary value problems for an elliptic operator A on a manifold X with boundary Y<br>i.e., Au = f in int X, T±u = g± on int Y±, where Y is subdivided into subsets Y± with an interface Z and boundary conditions T± on Y± that are Shapiro-Lopatinskij elliptic up to Z from the respective sides. We assume that Z ⊂ Y is a manifold with conical singularity v. As an example we consider the Zaremba problem, where A is the Laplacian and T− Dirichlet, T+ Neumann conditions. The problem is treated as a corner boundary value problem near v which is the new point and the main difficulty in t
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Mbiock, Aristide. "Radiative heat transfer in furnaces : elliptic boundary value problem." Rouen, 1997. http://www.theses.fr/1997ROUEA002.

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Forgoston, Eric T. "Initial-Value Problem for Perturbations in Compressible Boundary Layers." Diss., The University of Arizona, 2006. http://hdl.handle.net/10150/195810.

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An initial-value problem is formulated for a three-dimensional perturbation in a compressible boundary layer flow. The problem is solved using a Laplace transform with respect to time and Fourier transforms with respect to the streamwise and spanwise coordinates. The solution can be presented as a sum of modes consisting of continuous and discrete spectra of temporal stability theory. Two discrete modes, known as Mode S and Mode F, are of interest in high-speed flows since they may be involved in a laminar-turbulent transition scenario. The continuous and discrete spectrum are analyzed num
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Wintz, Nick. "Eigenvalue comparisons for an impulsive boundary value problem with Sturm-Liouville boundary conditions." Huntington, WV : [Marshall University Libraries], 2004. http://www.marshall.edu/etd/descript.asp?ref=414.

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Alsaedy, Ammar, and Nikolai Tarkhanov. "Normally solvable nonlinear boundary value problems." Universität Potsdam, 2013. http://opus.kobv.de/ubp/volltexte/2013/6507/.

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We study a boundary value problem for an overdetermined elliptic system of nonlinear first order differential equations with linear boundary operators. Such a problem is solvable for a small set of data, and so we pass to its variational formulation which consists in minimising the discrepancy. The Euler-Lagrange equations for the variational problem are far-reaching analogues of the classical Laplace equation. Within the framework of Euler-Lagrange equations we specify an operator on the boundary whose zero set consists precisely of those boundary data for which the initial problem is solvabl
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Tamasan, Alexandru Cristian. "A two dimensional inverse boundary value problem in radiation transport /." Thesis, Connect to this title online; UW restricted, 2002. http://hdl.handle.net/1773/5752.

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Books on the topic "Boundary value problem of thermoelasticity"

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Gawinecki, Jerzy August. Initial-boundary value problem in nonlinear hyperbolic thermoelasticity: Some applications in continuum mechanics. Polska Akademia Nauk, Instytut Matematyczny, 2002.

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Aĭzikovich, S. M. Analiticheskie reshenii︠a︡ smeshannykh osesimmetrichnykh zadach dli︠a︡ funkt︠s︡ionalʹno-gradientnykh sred. FIZMATLIT, 2011.

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1951-, Weber Roman, ed. Radiation in enclosures: Elliptic boundary value problem. Springer, 2000.

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Govorov, N. V. Riemann's boundary problem with infinite index. Birkhäuser Verlag, 1994.

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1957-, Jackson Thomas L., Lasseigne D. G, and Langley Research Center, eds. The initial-value problem for viscous channel flows. Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1995.

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Vuik, C. The solution of a one-dimensional Stefan problem. Centrum voor Wiskunde en Informatica, 1993.

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Sansò, Fernando, and Michael G. Sideris. Geodetic Boundary Value Problem: the Equivalence between Molodensky’s and Helmert’s Solutions. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-46358-2.

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Hartley, T. T. Insights into the fractional order initial value problem via semi-infinite systems. National Aeronautics and Space Administration, Lewis Research Center, 1998.

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Tsaoussi, Lucia S. A simulation study of the overdetermined geodetic boundary value problem using collocation. Dept. of Geodetic Science and Surveying, Ohio State University, 1989.

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Gelderen, Martin van. The geodetic boundary value problem in two dimensions and its iterative solution. Nederlandse Commissie voor Geodesie, 1991.

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Book chapters on the topic "Boundary value problem of thermoelasticity"

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Leis, Rolf. "Linear thermoelasticity." In Initial Boundary Value Problems in Mathematical Physics. Vieweg+Teubner Verlag, 1986. http://dx.doi.org/10.1007/978-3-663-10649-4_13.

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Racke, Reinhard. "Initial boundary value problems in thermoelasticity." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/bfb0082874.

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Gawinecki, Jerzy, and Lucjan Kowalski. "On Boundary — Initial Value Problem for Linear Hyperbolic Thermoelasticity Equations with Control of Temperature." In Lecture Notes in Economics and Mathematical Systems. Springer Berlin Heidelberg, 1995. http://dx.doi.org/10.1007/978-3-642-88272-2_14.

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Rossikhin, Yury A., and Marina V. Shitikova. "Ray Method for Solving Boundary-Value Problems of Anisotropic Thermoelasticity with Thermal Relaxation." In Encyclopedia of Thermal Stresses. Springer Netherlands, 1996. http://dx.doi.org/10.1007/978-94-007-2739-7_929.

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Feng, Yongping, and Junzhi Cui. "Multi-Scale and Finite Element Analysis of the Mixed Boundary Value Problem in a Perforated Domain under Coupled Thermoelasticity." In Macro-, Meso-, Micro- and Nano-Mechanics of Materials. Trans Tech Publications Ltd., 2005. http://dx.doi.org/10.4028/0-87849-979-2.153.

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Gawinecki, Jerzy, and Lucjan Kowalski. "Mathematical Aspects of the Boundary Initial Value Problems for Thermoelasticity Theory of Non-simple Materials with Control for Temperature." In Stochastic Programming Methods and Technical Applications. Springer Berlin Heidelberg, 1998. http://dx.doi.org/10.1007/978-3-642-45767-8_23.

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Dey, Suhrit. "Boundary Value Problem." In Perturbed Functional Iterations. Chapman and Hall/CRC, 2024. http://dx.doi.org/10.1201/9781003325925-8.

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Barber, J. R. "The Boundary-Value Problem." In Solid Mechanics and Its Applications. Springer Netherlands, 1992. http://dx.doi.org/10.1007/978-94-011-2454-6_22.

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Sansò, F. "Geodetic Boundary Value Problem." In Handbook of Geomathematics. Springer Berlin Heidelberg, 2015. http://dx.doi.org/10.1007/978-3-642-54551-1_74.

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Barber, J. R. "The Boundary-Value Problem." In Solid Mechanics and Its Applications. Springer Netherlands, 2009. http://dx.doi.org/10.1007/978-90-481-3809-8_30.

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Conference papers on the topic "Boundary value problem of thermoelasticity"

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Svanadze, Merab. "Boundary Value Problems in the Theory of Thermoelasticity for Triple Porosity Materials." In ASME 2016 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/imece2016-65046.

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This paper concerns with the quasi static linear theory of thermoelasticity for triple porosity materials. The system of governing equations based on the equilibrium equations, conservation of fluid mass, the constitutive equations, Darcy’s law for materials with triple porosity and Fourier’s law of heat conduction. The cross-coupled terms are included in the equations of conservation of mass for the fluids of the three levels of porosity (macro-, meso- and micropores) and in the Darcy’s law for materials with triple porosity. The system of general governing equations is expressed in terms of
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Svanadze, Merab. "Boundary Integral Equations Method in the Coupled Theory of Thermoelasticity for Porous Materials." In ASME 2019 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2019. http://dx.doi.org/10.1115/imece2019-10367.

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Abstract This paper concerns with the coupled linear theory of thermoelasticity for porous materials and the coupled phenomena of the concepts of Darcy’s law and the volume fraction is considered. The system of governing equations based on the equations of motion, the constitutive equations, the equation of fluid mass conservation, Darcy’s law for porous materials, Fourier’s law of heat conduction and the heat transfer equation. The system of general governing equations is expressed in terms of the displacement vector field, the change of volume fraction of pores, the change of fluid pressure
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Dennis, Brian H., Igor N. Egorov, Helmut Sobieczky, George S. Dulikravich, and Shinobu Yoshimura. "Parallel Thermoelasticity Optimization of 3-D Serpentine Cooling Passages in Turbine Blades." In ASME Turbo Expo 2003, collocated with the 2003 International Joint Power Generation Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/gt2003-38180.

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An automatic design algorithm for parametric shape optimization of three-dimensional cooling passages inside axial gas turbine blades has been developed. Smooth serpentine passage configurations were considered. The geometry of the blade and the internal serpentine cooling passages were parameterized using surface patch analytic formulation, which provides very high degree of flexibility, second order smoothness and a minimum number of parameters. The design variable set defines the geometry of the turbine blade coolant passage including blade wall thickness distribution and blade internal str
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Dennis, Brian H., Igor N. Egorov, George S. Dulikravich, and Shinobu Yoshimura. "Optimization of a Large Number of Coolant Passages Located Close to the Surface of a Turbine Blade." In ASME Turbo Expo 2003, collocated with the 2003 International Joint Power Generation Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/gt2003-38051.

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A constrained optimization of locations and discrete radii of a large number of small circular cross-section straight-through coolant flow passages in internally cooled gas turbine vane was developed. The objective of the optimization was minimization of the integrated surface heat flux penetrating the airfoil thus indirectly minimizing the amount of coolant needed for the removal of this heat. Constraints were that the maximum temperature of any point in the vane is less than the maximum specified value and that the distances between any two holes or between any hole and the airfoil surface a
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Arhrrabi, Elhoussain, Abdellah Taqbibt, M'hamed Elomari, Said Melliani, and Lalla saadia Chadli. "Fuzzy fractional boundary value problem." In 2021 7th International Conference on Optimization and Applications (ICOA). IEEE, 2021. http://dx.doi.org/10.1109/icoa51614.2021.9442654.

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Kanareykin, Alexandr. "Solving the Neumann boundary value problem." In III INTERNATIONAL SCIENTIFIC AND PRACTICAL SYMPOSIUM “MATERIALS SCIENCE AND TECHNOLOGY” (MST-III-2023). AIP Publishing, 2024. http://dx.doi.org/10.1063/5.0201213.

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Gera, Amos. "A nonlinear boundary value problem in control." In 1985 24th IEEE Conference on Decision and Control. IEEE, 1985. http://dx.doi.org/10.1109/cdc.1985.268836.

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Ashyralyev, Allaberen, and Mahmut Modanli. "Nonlocal boundary value problem for telegraph equations." In ADVANCEMENTS IN MATHEMATICAL SCIENCES: Proceedings of the International Conference on Advancements in Mathematical Sciences. AIP Publishing LLC, 2015. http://dx.doi.org/10.1063/1.4930504.

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Priyadi, A., N. Yorino, M. Eghbal, et al. "Transient stability assessment as boundary value problem." In Energy Conference (EPEC). IEEE, 2008. http://dx.doi.org/10.1109/epc.2008.4763304.

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Fung, Hei Tao, and Kevin J. Parker. "Image interpolation as a boundary value problem." In Visual Communications and Image Processing '96, edited by Rashid Ansari and Mark J. T. Smith. SPIE, 1996. http://dx.doi.org/10.1117/12.233195.

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Reports on the topic "Boundary value problem of thermoelasticity"

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Menken, Hamza. On the Inverse Problem of the Scattering Theory Fora Boundary-Value Problem. GIQ, 2012. http://dx.doi.org/10.7546/giq-7-2006-226-236.

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Kunisch, K., and L. W. White. Identifiability under Approximation for an Elliptic Boundary Value Problem. Defense Technical Information Center, 1985. http://dx.doi.org/10.21236/ada158542.

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Ferguson, Warren E., and Jr. Analysis of a Singularly-Perturbed Linear Two-Point Boundary-Value Problem. Defense Technical Information Center, 1986. http://dx.doi.org/10.21236/ada172582.

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Parkins, R. N., and R. R. Fessler. NG-18-85-R01 Line Pipe Stress Corrosion Cracking Mechanisms and Remedies. Pipeline Research Council International, Inc. (PRCI), 1986. http://dx.doi.org/10.55274/r0012143.

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Stress corrosion cracking of line pipe from the soil side involves slow crack growth at stresses which may be as low as half the yield strength, this slow crack growth continuing until the crack penetrates the wall to produce a leak or until the stress intensity on the uncracked ligament reaches the value for a fast fracture to penetrate the wall thickness. The controlling parameters that contribute to the mechanism of failure, essentially involving growth by dissolution in the grain boundary regions, are, as with other systems displaying such failure, electrochemical, mechanical, and metallur
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Heitman, Joshua L., Alon Ben-Gal, Thomas J. Sauer, Nurit Agam, and John Havlin. Separating Components of Evapotranspiration to Improve Efficiency in Vineyard Water Management. United States Department of Agriculture, 2014. http://dx.doi.org/10.32747/2014.7594386.bard.

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Vineyards are found on six of seven continents, producing a crop of high economic value with much historic and cultural significance. Because of the wide range of conditions under which grapes are grown, management approaches are highly varied and must be adapted to local climatic constraints. Research has been conducted in the traditionally prominent grape growing regions of Europe, Australia, and the western USA, but far less information is available to guide production under more extreme growing conditions. The overarching goal of this project was to improve understanding of vineyard water
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