Solution with finite energy to a BGK system relaxing to isentropic gas dynamics
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Publication:5952879
DOI10.5802/afst.974zbMath1006.82023OpenAlexW2012050331WikidataQ57964807 ScholiaQ57964807MaRDI QIDQ5952879
Florent Berthelin, François Bouchut
Publication date: 12 September 2002
Published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=AFST_2000_6_9_4_605_0
Kinetic theory of gases in time-dependent statistical mechanics (82C40) Hyperbolic equations and hyperbolic systems (35L99)
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Cites Work
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- Convergence of the viscosity method for isentropic gas dynamics
- A kinetic equation with kinetic entropy functions for scalar conservation laws
- Global existence to the BGK model of Boltzmann equation
- Regularity of the moments of the solution of a transport equation
- A discrete kinetic approximation of entropy solutions to multidimensional scalar conservation laws
- Construction of BGK models with a family of kinetic entropies for a given system of conservation laws
- Weighted \(L^ \infty\) bounds and uniqueness for the Boltzmann BGK model
- Kinetic formulation of the isentropic gas dynamics and \(p\)-systems
- A kinetic formulation for multi-branch entropy solutions of scalar conservation laws
- Semi-linear and kinetic relaxation for systems of conservation laws
- Averaged Multivalued Solutions for Scalar Conservation Laws
- A Kinetic Formulation of Multidimensional Scalar Conservation Laws and Related Equations
- Hyperbolic conservation laws with stiff relaxation terms and entropy
- Discrete Kinetic Schemes for Multidimensional Systems of Conservation Laws
- The relaxation schemes for systems of conservation laws in arbitrary space dimensions
