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Hyperbolic Conservation Laws and L2
2018Taking as background the fact that conservation laws in a single space variable are well-posed in the space of functions of bounded variation, while multidimensional systems enjoy short-time well-posedness in Sobolev spaces Hs, we attempt to resolve the discrepancies between these two theories by exploring what can be said about stability of one ...
Barbara Lee Keyfitz, Hao Ying
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Hyperbolic regularizations of conservation laws
Russian Journal of Mathematical Physics, 2008The investigations of problems in kinetics for hyperbolic regularizations of conservation laws, initiated by Volevich and Radkevich, regarding the Chapman-Enskog conjecture are continued in the work. The objective is to carry out the study of the conjecture in the linear case for linearized problems.
Palin, V. V., Radkevich, E. V.
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Nonlinear Hyperbolic Conservation Laws
1994In early 1960’s, there were three groups working in this field. They were of Fudan University, Jilin University and Chinese Academy of Sciences. Since the works done in Fudan have been summarized in another paper in this volume and the topics of two spatial dimension case and combustion theory will be talked about in other place, we will give a survey ...
Xiaxi Ding, Tong Zhang
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Primitive, Conservative and Adaptive Schemes for Hyperbolic Conservation Laws
1998For the last two or three decades, it has become an accepted practice to utilise conservative methods when solving numerically hyperbolic conservation laws. Shock waves are the solution features that demand the utilisation of conservative methods. Practical computational experience shows that the use of a non-conservative method results in the wrong ...
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Nonlinear Hyperbolic Conservation Laws
2012SYNOPSIS (ISBN: 978-972-8826-22-2) We are concerned by nonlinear conservation laws and claim a realistic, well established analytical setting, based on energy methods. Scalar models are multi-space dimensional and rely all known physically relevant solutions, both classical and nonclassical.
Correia, Joaquim M. C. +1 more
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Hyperbolic Systems of Conservation Laws
1983The study of systems of quasilinear hyperbolic equations that result from the balance laws of continuum physics was initiated more than a century ago yet, despite considerable progress in recent years, most of the fundamental problems in the analytical theory remain unsolved.
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An Oscillation-free Discontinuous Galerkin Method for Scalar Hyperbolic Conservation Laws
SIAM Journal on Numerical Analysis, 2021Jianfang Lu, Yong Liu, Chi-Wang Shu
exaly
Devising discontinuous Galerkin methods for non-linear hyperbolic conservation laws
Journal of Computational and Applied Mathematics, 2001Bernardo Cockburn
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