On a quadratic functional for scalar conservation laws
From MaRDI portal
Publication:3190178
DOI10.1142/S0219891614500118zbMath1304.35416arXiv1311.2929MaRDI QIDQ3190178
Stefano Bianchini, Stefano Modena
Publication date: 16 September 2014
Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1311.2929
Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65) Theoretical approximation in context of PDEs (35A35) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)
Related Items
Quadratic interaction estimate for hyperbolic conservation laws: an overview ⋮ Existence and uniqueness of the global \(L^1\) solution of the Euler equations for Chaplygin gas ⋮ A ``forward-in-time quadratic potential for systems of conservation laws ⋮ A quadratic interaction estimate for conservation laws: motivations, techniques and open problems ⋮ Regularity estimates for scalar conservation laws in one space dimension ⋮ Structure of entropy solutions to general scalar conservation laws in one space dimension ⋮ Quadratic interaction functional for general systems of conservation laws
Cites Work
- Unnamed Item
- On a Lyapunov functional relating shortening curves and viscous conservation laws
- A locally quadratic Glimm functional and sharp convergence rate of the Glimm scheme for nonlinear hyperbolic systems
- A new Glimm functional and convergence rate of Glimm scheme for general systems of hyperbolic conservation laws
- Error bounds for a deterministic version of the Glimm scheme
- Interaction estimates and Glimm functional for general hyperbolic systems
- Sharp convergence rate of the Glimm scheme for general nonlinear hyperbolic systems
- Polygonal approximations of solutions of the initial value problem for a conservation law
- The semigroup approach to first order quasilinear equations in several space variables
- A NOTE ON THE NEW GLIMM FUNCTIONAL FOR GENERAL SYSTEMS OF HYPERBOLIC CONSERVATION LAWS
- Solutions in the large for nonlinear hyperbolic systems of equations
- FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES
