Nonlinear maps of convex sets in Hilbert spaces with application to kinetic equations
DOI10.1007/s00574-008-0008-2zbMath1187.46061OpenAlexW2166301163MaRDI QIDQ734072
Publication date: 19 October 2009
Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00574-008-0008-2
Hilbert spaceconvex setsfinite difference schemesLipschitz mapskinetic equationsinvariant domainssmooth maps
Stability in context of PDEs (35B35) Hyperbolic conservation laws (35L65) Inner product spaces and their generalizations, Hilbert spaces (46C99) Applications of functional analysis to differential and integral equations (46N20) Applications of functional analysis in numerical analysis (46N40) Nonlinear operators and their properties (47H99)
Cites Work
- Résolution d'équations d'évolution quasilinéaires en dimension N d'espace à l'aide d'équations linéaires en dimension \(N+1\)
- 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
- Kinetic formulation of the isentropic gas dynamics and \(p\)-systems
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- Semi-linear and kinetic relaxation for systems of conservation laws
- Correction to ``maps of convex sets and invariant regions for finite difference systems of conservation laws
- Convex sets in linear spaces
- Convergence of diffusive BGK approximations for nonlinear strongly parabolic systems
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- Maps of convex sets and invariant regions for finite-difference systems of conservation laws
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