Results 21 to 30 of about 41,878 (278)
Conservation laws for a viscoelastic medium
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2019 In this paper we consider a first order quasilinear non homogenoeus hyperbolic system describing viscoelastic processes. A full classification of first order local conservation laws admitted by such a rate-type model has been given.
Natale Manganaro
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Simple and High-Accurate Schemes for Hyperbolic Conservation Laws
Journal of Applied Mathematics, 2014 The paper constructs a class of simple high-accurate schemes (SHA schemes) with third order approximation accuracy in both space and time to solve linear hyperbolic equations, using linear data reconstruction and Lax-Wendroff scheme.
Renzhong Feng, Zheng Wang
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A (3+1)-dimensional generalized BKP-Boussinesq equation: Lie group approach
Results in Physics, 2019 A (3+1)-D generalized B-type KP-Boussinesq equation, which was recently formulated in the literature, is investigated here from Lie group standpoint. A solution is obtained by Lie symmetry reductions and direct integration in terms of incomplete elliptic
Chaudry Masood Khalique +1 more
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Finite volume schemes on Lorentzian manifolds [PDF]
, 2007 We investigate the numerical approximation of (discontinuous) entropy solutions to nonlinear hyperbolic conservation laws posed on a Lorentzian manifold.
Amorim, Paulo +2 more
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Redistribution of damping in hyperbolic systems of conservation laws
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, 2013 By a change of variables that redistributes damping among the equations of systems of balance laws in one space dimension, it is demonstrated that dissipation induced by friction, viscosity or other physical mechanism, manifested in the decay of “entropy”
Constantine M. Dafermos
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Boundary layers in weak solutions to hyperbolic conservation laws [PDF]
, 1999 This paper is concerned with the initial-boundary value problem for a nonlinear hyperbolic system of conservation laws. We study the boundary layers that may arise in approximations of entropy discontinuous solutions.
Joseph, K. T., LeFloch, Philippe G.
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Entropy Schemes for One-Dimensional Convection-Diffusion Equations
Complexity, 2020 In this paper, we extend the entropy scheme for hyperbolic conservation laws to one-dimensional convection-diffusion equation. The operator splitting method is used to solve the convection-diffusion equation that is divided into conservation and ...
Rongsan Chen
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Hyperbolic Conservation Laws�with Umbilic Degeneracy
Archive for Rational Mechanics and Analysis, 1995 The authors extend their earlier compactness framework to some canonical classes of quadratic flux systems with an isolated ombilic point. Using these topological arguments, they establish: (1) the compactness of the solution operator, (2) the long time behaviour in \(L^{\infty}\) of entropy solutions corresponding to large initial data, (3) the ...
Chen, G, Kan, P
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The Variational Bi-Complex for Systems of Semi-Linear Hyperbolic PDEs in Three Variables
, 2018 This paper extends, to a class of systems of semi-linear hyperbolic second order PDEs in three variables, the geometric study of a single nonlinear hyperbolic PDE in the plane as presented in [Anderson I.M., Kamran N., Duke Math. J.
Froehlich, Sara
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Numerical study of hybrid third order compact scheme for hyperbolic conservation laws
Energy Reports, 2020 In this paper, we present a numerical study to study the capability of the radius of curvature to detect the discontinuous point for hybrid high order schemes.
Indra Wibisono, Yanuar, E.A. Kosasih
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