Results 21 to 30 of about 41,720 (280)
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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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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Design of optical surfaces conform the hyperbolic Monge-Ampère equation [PDF]
EPJ Web of Conferences, 2022 We present a method for designing freeform optical surfaces for illumination optics. By the laws of reflection, refraction and conservation of energy, a fully nonlinear PDE, the Monge-Ampere equation, is derived for the optical surface.
Bertens M.W.M.C. +3 more
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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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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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High-order implicit palindromic discontinuous Galerkin method for kinetic-relaxation approximation [PDF]
, 2018 We construct a high order discontinuous Galerkin method for solving general hyperbolic systems of conservation laws. The method is CFL-less, matrix-free, has the complexity of an explicit scheme and can be of arbitrary order in space and time.
Coulette, David +4 more
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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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Global existence of solutions for a multi-phase flow: a drop in a gas-tube [PDF]
, 2015 In this paper we study the flow of an inviscid fluid composed by three different phases. The model is a simple hyperbolic system of three conservation laws, in Lagrangian coordinates, where the phase interfaces are stationary.
Amadori, Debora +3 more
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Nonstrictly Hyperbolic Conservation Laws
Applied Mathematics Letters, 1991 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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