STRUCTURE OF ENTROPY SOLUTIONS TO SCALAR CONSERVATION LAWS WITH STRICTLY CONVEX FLUX
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Publication:4921480
DOI10.1142/S0219891612500191zbMath1272.35145OpenAlexW1976670772MaRDI QIDQ4921480
G. D. Veerappa Gowda, Shyam Sundar Ghoshal, Adimurthi
Publication date: 10 May 2013
Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0219891612500191
Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65) Hamilton-Jacobi equations (35F21)
Related Items (15)
Lack of controllability of the viscous Burgers equation. I: the \(\mathrm{L}^{\infty}\) setting ⋮ Optimal controllability for scalar conservation laws with convex flux ⋮ Exact and optimal controllability for scalar conservation laws with discontinuous flux ⋮ Optimal regularity for all time for entropy solutions of conservation laws in \(BV^s\) ⋮ \(L^p\) stability for entropy solutions of scalar conservation laws with strict convex flux ⋮ Optimal results on TV bounds for scalar conservation laws with discontinuous flux ⋮ Finer regularity of an entropy solution for 1-d scalar conservation laws with non uniform convex flux ⋮ On the uniqueness of solutions to hyperbolic systems of conservation laws ⋮ Exact controllability of scalar conservation laws with strict convex flux ⋮ Theoretical developments in the study of partial differential equations ⋮ Lax-Oleĭnik explicit formula and structure theory for balance laws ⋮ Nonexistence of the $BV$ Regularizing Effect for Scalar Conservation Laws in Several Space Dimensions for $C^2$ Fluxes ⋮ Optimal jump set in hyperbolic conservation laws ⋮ Entropy Solutions in $BV^s$ for a Class of Triangular Systems Involving a Transport Equation ⋮ BV regularity near the interface for nonuniform convex discontinuous flux
Cites Work
- \(L ^{2}\) stability estimates for shock solutions of scalar conservation laws using the relative entropy method
- Source-solutions and asymptotic behavior in conservation laws
- Asymptotic behavior of solutions to scalar conservation laws and optimal convergence orders to \(N\)-waves
- A regularity theorem for conservation laws
- First order quasilinear equations with boundary conditions
- FINITE TIME EMERGENCE OF A SHOCK WAVE FOR SCALAR CONSERVATION LAWS
- On the piecewise smoothness of entropy solutions to scalar conservation laws
- The partial differential equation ut + uux = μxx
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