On a strong solution in the method of spherical harmonics for a nonstationary transport equation.
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Akysh, A.Sh. (2002)
Sibirskij Matematicheskij Zhurnal
Jovanović, Vladimir (2007)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Małgorzata Zdanowicz, Zbigniew Peradzyński (2005)
Annales Polonici Mathematici
We study the conditions under which the Cauchy problem for a linear hyperbolic system of partial differential equations of the first order in two independent variables has a unique continuous solution (not necessarily Lipschitz continuous). In addition to obvious continuity assumptions on coefficients and initial data, the sufficient conditions are the bounded variation of the left eigenvectors along the characteristic curves.
Jiří Kopáček (1973)
Czechoslovak Mathematical Journal
Piero D'Ancona, Sergio Spagnolo (1997)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Michael Dumbser, Claus-dieter Munz (2007)
International Journal of Applied Mathematics and Computer Science
This article is devoted to the discretization of source terms and boundary conditions using discontinuous Galerkin schemes with an arbitrary high order of accuracy in space and time for the solution of hyperbolic conservation laws on unstructured triangular meshes. The building block of the method is a particular numerical flux function at the element interfaces based on the solution of Generalized Riemann Problems (GRPs) with piecewise polynomial initial data. The solution of the generalized Riemann...
Jokhadze, O. (1998)
Georgian Mathematical Journal
Aurore Cabet, Piotr T. Chruściel, Roger Tagne Wafo (2016)
Grigolia, M. (1999)
Memoirs on Differential Equations and Mathematical Physics
Joao-Paulo Dias, Mário Figueira (1991)
Revista Matemática de la Universidad Complutense de Madrid
In this paper we prove the existence of a weak solution for a given semilinear singular real hyperbolic system.
Kazuo Aoki, Guido Cavallaro, Carlo Marchioro, Mario Pulvirenti (2008)
ESAIM: Mathematical Modelling and Numerical Analysis
We consider a body immersed in a perfect gas and moving under the action of a constant force. Body and gas are in thermal equilibrium. We assume a stochastic interaction body/medium: when a particle of the medium hits the body, it is absorbed and immediately re-emitted with a Maxwellian distribution. This system gives rise to a microscopic model of friction. We study the approach of the body velocity V(t) to the limiting velocity and prove that, under suitable smallness assumptions, the approach...
Marta Lewicka (1999)
Rendiconti del Seminario Matematico della Università di Padova
Carlos Parés, Manuel Castro (2004)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
This paper is concerned with the numerical approximations of Cauchy problems for one-dimensional nonconservative hyperbolic systems. The first goal is to introduce a general concept of well-balancing for numerical schemes solving this kind of systems. Once this concept stated, we investigate the well-balance properties of numerical schemes based on the generalized Roe linearizations introduced by [Toumi, J. Comp. Phys. 102 (1992) 360–373]. Next, this general theory is applied to obtain well-balanced...
Carlos Parés, Manuel Castro (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
This paper is concerned with the numerical approximations of Cauchy problems for one-dimensional nonconservative hyperbolic systems. The first goal is to introduce a general concept of well-balancing for numerical schemes solving this kind of systems. Once this concept stated, we investigate the well-balance properties of numerical schemes based on the generalized Roe linearizations introduced by [Toumi, J. Comp. Phys.102 (1992) 360–373]. Next, this general theory is applied to obtain well-balanced...
Olivier Guès (1989)
Journées équations aux dérivées partielles
Joseph, Kayyunnapara Thomas (2010)
Electronic Journal of Differential Equations (EJDE) [electronic only]
Pierre-Yves Jeanne (2000/2001)
Séminaire Équations aux dérivées partielles
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