BV estimates fail for most quasilinear hyperbolic systems in dimensions greater than one
From MaRDI portal
Publication:1089518
DOI10.1007/BF01207258zbMath0619.35073OpenAlexW2080108734MaRDI QIDQ1089518
Publication date: 1986
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01207258
Smoothness and regularity of solutions to PDEs (35B65) Stability in context of PDEs (35B35) Hyperbolic conservation laws (35L65)
Related Items (27)
L2-type Lyapunov functions for hyperbolic scalar conservation laws ⋮ GLOBAL MULTIDIMENSIONAL SHOCK WAVE FOR THE STEADY SUPERSONIC FLOW PAST A THREE-DIMENSIONAL CURVED CONE ⋮ Thermodynamically consistent physics-informed neural networks for hyperbolic systems ⋮ Multidimensional Conservation Laws: Overview, Problems, and Perspective ⋮ Asymptotic stability of Riemann solutions in BGK approximations to certain multidimensional systems of conservation laws ⋮ Steady and Self-Similar Solutions of Non-Strictly Hyperbolic Systems of Conservation Laws ⋮ Shock formation for 2\(D\) quasilinear wave systems featuring multiple speeds: blowup for the fastest wave, with non-trivial interactions up to the singularity ⋮ Global classical solutions to a kind of quasilinear hyperbolic systems in several space variables ⋮ Book Review: Quasilinear hyperbolic systems, compressible flows, and waves ⋮ The inviscid limit of viscous Burgers at nondegenerate shock formation ⋮ The relativistic Euler equations: ESI notes on their geo-analytic structures and implications for shocks in 1D and multi-dimensions ⋮ Global Multidimensional Shock Waves of 2-Dimensional and 3-Dimensional Unsteady Potential Flow Equations ⋮ Nonuniform Dependence on Initial Data for Compressible Gas Dynamics: The Cauchy Problem on $\mathbb{R}^2$ ⋮ Hyperbolic Conservation Laws and L2 ⋮ Global existence of radial solutions for general semilinear hyperbolic systems in 3D ⋮ Stability of a Kirchhoff-Roe scheme for two-dimensional linearized Euler systems ⋮ On the global existence and stability of a multi-dimensional supersonic conic shock wave ⋮ STEADY AND SELF-SIMILAR FULL EULER FLOW ⋮ A global multidimensional shock wave for the steady supersonic isothermal flow ⋮ Asymptotic stability of Riemann solutions for a class of multidimensional systems of conservation laws with viscosity ⋮ Hyperbolic boundary value problems for symmetric systems with variable multiplicities ⋮ Uniqueness for multidimensional hyperbolic systems with commuting Jacobians ⋮ Linear and Nonlinear Waves in Gas Dynamics ⋮ Stable ODE-type blowup for some quasilinear wave equations with derivative-quadratic nonlinearities ⋮ Weak continuity and compactness for nonlinear partial differential equations ⋮ Multidimensional nonlinear geometric optics for transport operators with applications to stable shock formation ⋮ Von Neumann’s comments about existence and uniqueness for the initial-boundary value problem in gas dynamics
Cites Work
This page was built for publication: BV estimates fail for most quasilinear hyperbolic systems in dimensions greater than one
