Formation of singularities in solutions to nonlinear hyperbolic systems with general sources

DOI10.1016/J.NONRWA.2023.103901zbMath1517.35061arXiv2204.12101OpenAlexW4362737771MaRDI QIDQ6158309

Johannes Bärlin

Publication date: 20 June 2023

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.12101

zbMATH Keywords

partial differential equationsformation of singularitiesgradient blow-upnonlinear hyperbolic systems

Mathematics Subject Classification ID

First-order nonlinear hyperbolic equations (35L60) Initial value problems for first-order hyperbolic systems (35L45) Blow-up in context of PDEs (35B44)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Large time asymptotics for partially dissipative hyperbolic systems
• Critical thresholds in hyperbolic relaxation systems
• Development of singularities in the nonlinear waves for quasi-linear hyperbolic partial differential equations
• Cauchy problem for quasilinear hyperbolic systems
• Dissipative structure and entropy for hyperbolic systems of balance laws
• Entropy and global existence for hyperbolic balance laws
• Gas dynamics in thermal nonequilibrium and general hyperbolic systems with relaxation
• Formation of singularities for one-dimensional relaxed compressible Navier-Stokes equations
• Formation of singularities in one-dimensional nonlinear wave propagation
• Pointwise Green's function bounds and stability of relaxation shocks
• Global existence versus blow‐up results for one dimensional compressible Navier–Stokes equations with Maxwell's law
• Asymptotic behavior of smooth solutions for partially dissipative hyperbolic systems with a convex entropy
• Development of Singularities of Solutions of Nonlinear Hyperbolic Partial Differential Equations
• Time-asymptotic stability for first-order symmetric hyperbolic systems of balance laws in dissipative compressible fluid dynamics

This page was built for publication: Formation of singularities in solutions to nonlinear hyperbolic systems with general sources