Existence of Dafermos profiles for singular shocks
From MaRDI portal
Publication:1887553
DOI10.1016/j.jde.2004.06.013zbMath1077.35095OpenAlexW2150279676MaRDI QIDQ1887553
Publication date: 22 November 2004
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2004.06.013
Riemann problemblow upgeometric singular perturbation theoryDafermos regularizationgeneralized Keyfitz-Kranzer system
Shocks and singularities for hyperbolic equations (35L67) Singular perturbations in context of PDEs (35B25) Hyperbolic conservation laws (35L65)
Related Items
Singular shocks in a chromatography model, Viscous singular shock profiles for a system of conservation laws modeling two-phase flow, Conserving the wrong variables in gas dynamics: A Riemann solution with singular shocks, Heteroclinic orbits in slow-fast Hamiltonian systems with slow manifold bifurcations, Saddle-type blow-up solutions with computer-assisted proofs: validation and extraction of global nature, Radial and bifurcating non-radial solutions for a singular perturbation problem in the case of exchange of stabilities, Exchange lemmas 1: Deng's Lemma, Multiplication of distributions and travelling wave solutions for the Keyfitz-Kranzer system, Geometric treatments and a common mechanism in finite-time singularities for autonomous ODEs, On Blow-Up Solutions of Differential Equations with Poincaré-Type Compactifications, LARGE-DATA SOLUTION OF A MODEL SYSTEM FOR SINGULAR SHOCKS, Normally hyperbolic invariant manifolds for random dynamical systems: Part I - persistence, Relaxation Oscillations and the Entry-Exit Function in Multidimensional Slow-Fast Systems, The ground state of a Gross-Pitaevskii energy with general potential in the Thomas-Fermi limit
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Fast and slow waves in the FitzHugh-Nagumo equation
- Nonstrictly hyperbolic conservation laws with a parabolic line
- Geometric singular perturbation theory for ordinary differential equations
- \(C^r\)-inclination theorems for singularly perturbed equations
- Tracking invariant manifolds with differential forms in singularly perturbed systems
- Lack of hyperbolicity in the two-fluid model for two-phase incompressible flow
- Composite waves in the Dafermos regularization
- Wave interactions and variation estimates for self-similar zero-viscosity limits in systems of conservation laws
- Multiple viscous wave fan profiles for Riemann solutions of hyperbolic systems of conservation laws
- Computation of Riemann solutions using the Dafermos regularization and continuation
- Spaces of weighted measures for conservation laws with singular shock solutions
- Structurally stable Riemann solutions
- Solution of the Riemann problem for a class of hyperbolic systems of conservation laws by the viscosity method
- Viscous structure of singular shocks
- Undercompressive shock waves and the Dafermos regularization
- Homoclinic Bifurcations with Nonhyperbolic Equilibria
- Canard cycles and center manifolds