Relevant bibliographies by topics / Hyperbolic balance law

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Academic literature on the topic 'Hyperbolic balance law'

Author: Grafiati
Published: 9 March 2023
Last updated: 31 July 2025

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Journal articles on the topic "Hyperbolic balance law"

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Mascia, C. "Travelling wave solutions for a balance law." Proceedings of the Royal Society of Edinburgh: Section A Mathematics 127, no. 3 (1997): 567–93. http://dx.doi.org/10.1017/s0308210500029917.

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We study entropy travelling wave solutions for first-order hyperbolic balance laws. Results concerning existence, regularity and asymptotic stability of such solutions are proved for convex fluxes and source terms with simple isolated zeros.
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COLOMBO, RINALDO M., and ANDREA CORLI. "ON A CLASS OF HYPERBOLIC BALANCE LAWS." Journal of Hyperbolic Differential Equations 01, no. 04 (2004): 725–45. http://dx.doi.org/10.1142/s0219891604000317.

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Consider an n×n system of hyperbolic balance laws with coinciding shock and rarefaction curves. This note proves the well-posedness in the large of this system, provided there exists a domain that is invariant both with respect to the homogeneous conservation law and to the ordinary differential system generated by the right-hand side. No "non-resonance" hypothesis is assumed.
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Barlow, Douglas A., Emilie LaVoie-Ingram, and Jahan Bayat. "Population-balance study of protein crystal growth from solution using a hyperbolic rate law." Journal of Crystal Growth 578 (January 2022): 126417. http://dx.doi.org/10.1016/j.jcrysgro.2021.126417.

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HBID, MY LHASSAN, EVA SÁNCHEZ, and RAFAEL BRAVO DE LA PARRA. "STATE-DEPENDENT DELAYS ASSOCIATED TO THRESHOLD PHENOMENA IN STRUCTURED POPULATION DYNAMICS." Mathematical Models and Methods in Applied Sciences 17, no. 06 (2007): 877–900. http://dx.doi.org/10.1142/s0218202507002145.

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The aim of this paper is to put in evidence the onset of state-dependent delays in threshold models for structured population dynamics. A unified approach to these models is provided, based on solving the corresponding balance law (hyperbolic P.D.E.) along the characteristic lines and showing the common underlying ideas. Size and age-structured models in different fields are presented: insect populations, cell proliferation and epidemics.
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Durur, Hülya. "Different types analytic solutions of the (1+1)-dimensional resonant nonlinear Schrödinger’s equation using (G′/G)-expansion method." Modern Physics Letters B 34, no. 03 (2019): 2050036. http://dx.doi.org/10.1142/s0217984920500360.

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In this paper, an alternative method has been studied for traveling wave solutions of mathematical models which have an important place in applied sciences and balance term is not integer. With this method, the trigonometric, hyperbolic, complex and rational type traveling wave solutions of the (1[Formula: see text]+[Formula: see text]1)-dimensional resonant nonlinear Schrödinger’s (RNLS) equation with the parabolic law have constructed. This method can be applied reliably and effectively in many differential equations.
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Cimmelli, Vito Antonio. "Heat-Flux Relaxation and the Possibility of Spatial Interactions in Higher-Grade Materials." Mathematics 13, no. 4 (2025): 599. https://doi.org/10.3390/math13040599.

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We investigate the thermodynamic compatibility of weakly nonlocal materials with constitutive equations depending on the third spatial gradient of the deformation and the heat flux ruled by an independent balance law. In such materials, the molecules experience long-range interactions. Examples of biological systems undergoing nonlocal interactions are given. Under the hypothesis of weak nonlocality (constitutive equations depending on the gradients of the unknown fields), we exploit the second law of thermodynamics by considering the spatial differential consequences (gradients) of the balanc
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Boyaval, Sébastien, and Mark Dostalík. "Non-isothermal viscoelastic flows with conservation laws and relaxation." Journal of Hyperbolic Differential Equations 19, no. 02 (2022): 337–64. http://dx.doi.org/10.1142/s0219891622500096.

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We propose a system of conservation laws with relaxation source terms (i.e. balance laws) for non-isothermal viscoelastic flows of Maxwell fluids. The system is an extension of the polyconvex elastodynamics of hyperelastic bodies using additional structure variables. It is obtained by writing the Helmholtz free energy as the sum of a volumetric energy density (function of the determinant of the deformation gradient det F and the temperature [Formula: see text] like the standard perfect-gas law or Noble–Abel stiffened-gas law) plus a polyconvex strain energy density function of F, [Formula: see
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Meyer, Fabian, Christian Rohde, and Jan Giesselmann. "A posteriori error analysis for random scalar conservation laws using the stochastic Galerkin method." IMA Journal of Numerical Analysis 40, no. 2 (2019): 1094–121. http://dx.doi.org/10.1093/imanum/drz004.

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Abstract In this article we present an a posteriori error estimator for the spatial–stochastic error of a Galerkin-type discretization of an initial value problem for a random hyperbolic conservation law. For the stochastic discretization we use the stochastic Galerkin method and for the spatial–temporal discretization of the stochastic Galerkin system a Runge–Kutta discontinuous Galerkin method. The estimator is obtained using smooth reconstructions of the discrete solution. Combined with the relative entropy stability framework of Dafermos (2016, Hyperbolic Conservation Laws in Continuum Phy
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Said, Hamid. "An analytical mechanics approach to the first law of thermodynamics and construction of a variational hierarchy." Theoretical and Applied Mechanics, no. 00 (2020): 11. http://dx.doi.org/10.2298/tam200315011s.

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A simple procedure is presented for the study of the conservation of energy equation with dissipation in continuum mechanics in 1D. This procedure is used to transform this nonlinear evolution-diffusion equation into a hyperbolic PDE; specifically, a second-order quasi-linear wave equation. An immediate implication of this procedure is the formation of a least action principle for the balance of energy with dissipation. The corresponding action functional enables us to establish a complete analytic mechanics for thermomechanical systems: a Lagrangian-Hamiltonian theory, integrals of motion, br
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Wang, Yanli, and Shudao Zhang. "Solving Vlasov-Poisson-Fokker-Planck Equations using NRxx method." Communications in Computational Physics 21, no. 3 (2017): 782–807. http://dx.doi.org/10.4208/cicp.220415.080816a.

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AbstractWe present a numerical method to solve the Vlasov-Poisson-Fokker-Planck (VPFP) system using the NRxx method proposed in [4, 7, 9]. A globally hyperbolic moment system similar to that in [23] is derived. In this system, the Fokker-Planck (FP) operator term is reduced into the linear combination of the moment coefficients, which can be solved analytically under proper truncation. The non-splitting method, which can keep mass conservation and the balance law of the total momentum, is used to solve the whole system. A numerical problem for the VPFP system with an analytic solution is prese
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Dissertations / Theses on the topic "Hyperbolic balance law"

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Dalal, Abdulsalam Elmabruk Daw. "Shadow Wave Solutions for Some Balance Law Systems." Phd thesis, Univerzitet u Novom Sadu, Prirodno-matematički fakultet u Novom Sadu, 2017. https://www.cris.uns.ac.rs/record.jsf?recordId=104976&source=NDLTD&language=en.

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In the first part, the pressureless gas dynamic system with source (body force) is examined and solved by using Shadow Waves. The source represents gravity and Shadow Wave solution (containing the delta function) shows acceleration (contrary to shocks, for example). In the second part, one will nd numerical calculations that conrms the above results.<br>Rad je posvecen analizi modela gasa bez pritiska uz dodatak izvora. Model je resen koriscenjem senka talasa. U ovom slucaju, izvor predstavlja uticaj gravitacije na cestice u modelu. Za razliku od udarnih talasa, talasi senke koje sadrze delta
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MARCELLINI, FRANCESCA. "Conservation laws in gas dynamics and traffic flow." Doctoral thesis, Università degli Studi di Milano-Bicocca, 2009. http://hdl.handle.net/10281/7487.

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This PhD thesis is concerned with applications of nonlinear systems of conservation laws to gas dynamics and traffic flow modeling. The first part is devoted to the analytical description of a fluid flowing in a tube with varying cross section. We study the 2x2 model of the p-system and than, we extend the properties to the full 3x3 Euler system. We also consider a general nxn strictly hyperbolic system of balance laws; we study the Cauchy problem for this system and we apply this result to the fluid flow in a pipe wiyh varying section. Concerning traffic flow, we introduce a new macroscopic m
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Sen, Chhanda. "Entropy stable numerical schemes for hyperbolic balance laws." Thesis, IIT Delhi, 2019. http://eprint.iitd.ac.in:80//handle/2074/8135.

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Ehrt, Julia [Verfasser]. "Cascades of heteroclinic connections in hyperbolic balance laws / Julia Ehrt." Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik im Forschungsverbund Berlin e.V, 2010. http://d-nb.info/1042738963/34.

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Ehrt, Julia [Verfasser]. "Cascades of heteroclinic connections in hyperbolic balance laws / Julia Michael Ehrt." Berlin : Freie Universität Berlin, 2010. http://nbn-resolving.de/urn:nbn:de:kobv:188-fudissthesis000000015791-0.

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Weldegiyorgis, Gediyon Yemane. "Numerical stabilization with boundary controls for hyperbolic systems of balance laws." Diss., University of Pretoria, 2016. http://hdl.handle.net/2263/60870.

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In this dissertation, boundary stabilization of a linear hyperbolic system of balance laws is considered. Of particular interest is the numerical boundary stabilization of such systems. An analytical stability analysis of the system will be presented as a preamble. A discussion of the application of the analysis on speci c examples: telegrapher equations, isentropic Euler equations, Saint-Venant equations and Saint-Venant-Exner equations is also presented. The rst order explicit upwind scheme is applied for the spatial discretization. For the temporal discretization a splitting techniqu
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Mantri, Yogiraj Verfasser], Sebastian [Akademischer Betreuer] Noelle, and Michael [Akademischer Betreuer] [Herty. "Computing near-equilibrium solutions for hyperbolic balance laws on networks / Yogiraj Mantri ; Sebastian Noelle, Michael Herty." Aachen : Universitätsbibliothek der RWTH Aachen, 2021. http://d-nb.info/1228433038/34.

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ROSSI, ELENA. "Balance Laws: Non Local Mixed Systems and IBVPs." Doctoral thesis, Università degli Studi di Milano-Bicocca, 2016. http://hdl.handle.net/10281/103090.

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Scalar hyperbolic balance laws in several space dimensions play a central role in this thesis. First, we deal with a new class of mixed parabolic-hyperbolic systems on all R^n: we obtain the basic well-posedness theorems, devise an ad hoc numerical algorithm, prove its convergence and investigate the qualitative properties of the solutions. The extension of these results to bounded domains requires a deep understanding of the initial boundary value problem (IBVP) for hyperbolic balance laws. The last part of the thesis provides rigorous estimates on the solution to this IBVP, under precise reg
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Gerster, Stephan [Verfasser], Michael [Akademischer Betreuer] Herty, Martin [Akademischer Betreuer] Frank, and Simone [Akademischer Betreuer] Göttlich. "Stabilization and uncertainty quantification for systems of hyperbolic balance laws / Stephan Gerster ; Michael Herty, Martin Frank, Simone Göttlich." Aachen : Universitätsbibliothek der RWTH Aachen, 2020. http://d-nb.info/1216638136/34.

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Schmitt, Johann Michael [Verfasser]. "Optimal Control of Initial-Boundary Value Problems for Hyperbolic Balance Laws with Switching Controls and State Constraints / Johann Michael Schmitt." München : Verlag Dr. Hut, 2019. http://d-nb.info/1188516450/34.

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Book chapters on the topic "Hyperbolic balance law"

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Ruggeri, Tommaso. "Universal Principles for Balance Law Systems." In Nonlinear Hyperbolic Problems: Theoretical, Applied, and Computational Aspects. Vieweg+Teubner Verlag, 1993. http://dx.doi.org/10.1007/978-3-322-87871-7_60.

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Bhatnagar, Manas, and Hailiang Liu. "On Critical Thresholds for Hyperbolic Balance Law Systems." In SEMA SIMAI Springer Series. Springer Nature Switzerland, 2024. http://dx.doi.org/10.1007/978-3-031-55260-1_9.

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Bartecki, Krzysztof. "Hyperbolic Systems of Balance Laws." In Studies in Systems, Decision and Control. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-27501-7_2.

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Dafermos, Constantine M. "Hyperbolic Systems of Balance Laws." In Grundlehren der mathematischen Wissenschaften. Springer Berlin Heidelberg, 2016. http://dx.doi.org/10.1007/978-3-662-49451-6_3.

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Dafermos, Constantine M. "Hyperbolic Systems of Balance Laws." In Grundlehren der mathematischen Wissenschaften. Springer Berlin Heidelberg, 2000. http://dx.doi.org/10.1007/978-3-662-22019-1_3.

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Dafermos, Constantine M. "Hyperbolic Systems of Balance Laws." In Grundlehren der mathematischen Wissenschaften. Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-04048-1_3.

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Bastin, Georges, and Jean-Michel Coron. "Hyperbolic Systems of Balance Laws." In Stability and Boundary Stabilization of 1-D Hyperbolic Systems. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-32062-5_1.

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Russo, Giovanni. "Central Schemes for Balance Laws." In Hyperbolic Problems: Theory, Numerics, Applications. Birkhäuser Basel, 2001. http://dx.doi.org/10.1007/978-3-0348-8372-6_35.

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Meister, Andreas, and Jens Struckmeier. "Central Schemes and Systems of Balance Laws." In Hyperbolic Partial Differential Equations. Vieweg+Teubner Verlag, 2002. http://dx.doi.org/10.1007/978-3-322-80227-9_2.

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Christoforou, Cleopatra. "On Hyperbolic Balance Laws and Applications." In Innovative Algorithms and Analysis. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-49262-9_5.

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Conference papers on the topic "Hyperbolic balance law"

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Tirimisiyu, Adeniyi Adekunle, and Anselm Iuebego Igbafe. "Proven, Probable, Possible, and Contingent Natural Gas Reserves: A Concise and Holistic Review of Major Critical Developmental Steps." In SPE Nigeria Annual International Conference and Exhibition. SPE, 2024. http://dx.doi.org/10.2118/221618-ms.

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Abstract Petroleum Motor Spirit, PMS, product subsidy removal in Nigeria has led to a significant increase in commodity prices in the market. Other African countries, notably South Africa and Senegal, have faced and are still facing energy deficit-related crises. Some causes of energy-related problems in Africa included dysfunctional refineries in Nigeria, inadequate energy planning for economic growth, social advancement in South Africa, and exponential population growth. Despite all these energy-related problems, gas flaring persists in Africa. To solve the energy problems as identified, inv
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Kitsos, Constantinos, Gildas Besancon, and Christophe Prieur. "High-Gain Observer Design for a Class of Hyperbolic Systems of Balance Laws." In 2018 IEEE Conference on Decision and Control (CDC). IEEE, 2018. http://dx.doi.org/10.1109/cdc.2018.8619291.

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Aloev, Rakhmatillo, and Dilfuza Nematova. "Lyapunov numerical stability of a hyperbolic system of linear balance laws with inhomogeneous coefficients." In INTERNATIONAL UZBEKISTAN-MALAYSIA CONFERENCE ON “COMPUTATIONAL MODELS AND TECHNOLOGIES (CMT2020)”: CMT2020. AIP Publishing, 2021. http://dx.doi.org/10.1063/5.0056862.

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El-Ghobashy, Ibrahim M., Mohamed H. M. Sayyouh, M. Abu El Ela, and Ahmed H. El-Banbi. "Gas Wells Production Forecast Using Artificial and Recurrent Neural Networks Models and Comparison with Traditional Decline Curve Analysis Techniques." In Mediterranean Offshore Conference. SPE, 2024. http://dx.doi.org/10.2118/223264-ms.

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Abstract Accurate production forecasting is crucial for effective reservoir management and field development planning. Traditional methods; such as numerical simulation, material balance equations coupled with well models, and advanced decline curve analysis (DCA) require extensive data and involve tradeoffs between accuracy and complexity. Recently, deep learning techniques, specifically artificial neural network (ANN) and recurrent neural network (RNN) models have demonstrated promising performance in this domain. This study applies ANN and RNN for production forecasting and compares their e
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Bartecki, Krzysztof. "Computation of transfer function matrices for 2×2 strongly coupled hyperbolic systems of balance laws." In 2013 Conference on Control and Fault-Tolerant Systems (SysTol). IEEE, 2013. http://dx.doi.org/10.1109/systol.2013.6693813.

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Bastin, Georges, Jean-Michel Coron, and Brigitte d'Andrea-Novel. "Boundary feedback control and Lyapunov stability analysis for physical networks of 2×2 hyperbolic balance laws." In 2008 47th IEEE Conference on Decision and Control. IEEE, 2008. http://dx.doi.org/10.1109/cdc.2008.4738857.

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Nourgaliev, Robert, Nam Dinh, and Theo Theofanous. "A Characteristics-Based Approach to the Numerical Solution of the Two-Fluid Model." In ASME/JSME 2003 4th Joint Fluids Summer Engineering Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/fedsm2003-45551.

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This paper is concerned with numerical solutions of the two-fluid models of two-phase flow. The two-fluid modeling approach is based on the effective-field description of inter-penetrating continua and uses constitutive laws to account for the inter-field interactions. The effective-field balance equations are derived by a homogenization procedure and known to be non-hyperbolic. Despite their importance and widespread application, predictions by such models have been hampered by numerical pitfalls manifested in the formidable challenge to obtain convergent numerical solutions under computation
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Bertaglia, Giulia. "Augmented fluid-structure interaction systems for viscoelastic pipelines and blood vessels." In VI ECCOMAS Young Investigators Conference. Editorial Universitat Politècnica de València, 2021. http://dx.doi.org/10.4995/yic2021.2021.13450.

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Mathematical models and numerical methods are a powerful resource for better understanding phenomena and processes throughout the fluid dynamics field, allowing significant reductions in the costs, which would otherwise be required to perform laboratory experiments, and even allowing to obtain useful data that could not be gathered through measurements.The correct characterization of the interactions that occur between the fluid and the wall that surrounds it is a fundamental aspect in all contexts involving deformable ducts, which requires the utmost attention at every stage of both the devel
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