\(L^{2}\) formulation of multidimensional scalar conservation laws
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Publication:834760
DOI10.1007/s00205-009-0214-0zbMath1180.35346arXivmath/0609761OpenAlexW1991650451MaRDI QIDQ834760
Publication date: 27 August 2009
Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0609761
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Cites Work
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- Compressible fluid flow and systems of conservation laws in several space variables
- Résolution d'équations d'évolution quasilinéaires en dimension N d'espace à l'aide d'équations linéaires en dimension \(N+1\)
- Contractivity of Wasserstein metrics and asymptotic profiles for scalar conservation laws
- A kinetic construction of global solutions of first order quasilinear equations
- Convergence of approximate solutions to conservation laws
- Semi-linear and kinetic relaxation for systems of conservation laws
- Level set methods and dynamic implicit surfaces
- Shock capturing, level sets, and PDE based methods in computer vision and image processing: A review of Osher's contributions
- Vanishing viscosity solutions of nonlinear hyperbolic systems
- Order preserving vibrating strings and applications to electrodynamics and magnetohydrodynamics
- Averaged Multivalued Solutions for Scalar Conservation Laws
- A Kinetic Formulation of Multidimensional Scalar Conservation Laws and Related Equations
- CONTRACTIVE METRICS FOR SCALAR CONSERVATION LAWS
- A level set approach for computing discontinuous solutions of Hamilton-Jacobi equations
- Viscosity solutions with shocks
- The Cauchy Problem for Symmetric Hyperbolic Systems in Lp.
- FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES