Blowup of smooth solutions of a class of complex conservation laws

DOI10.1016/j.jmaa.2013.04.077zbMath1306.35072OpenAlexW2087844428MaRDI QIDQ2257529

De-Xing Kong, Chang-Hua Wei

Publication date: 25 February 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2013.04.077

zbMATH Keywords

smooth solutionlife spanquasilinear hyperbolic system2-D wave equationcomplex conservation laws

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Blow-up in context of PDEs (35B44)

Related Items (2)

Completely linear degeneracy for quasilinear hyperbolic systems ⋮ The global existence and the life span of smooth solutions to a class of complex conservation laws

Cites Work

• Sharpness on the lower bound of the lifespan of solutions to nonlinear wave equations
• Compressible fluid flow and systems of conservation laws in several space variables
• Formation of singularities in solutions to nonlinear hyperbolic equations
• Formation of singularities in three-dimensional compressible fluids
• Blow-up of solutions to nonlinear wave equations in two space dimensions
• Cauchy problem for quasilinear hyperbolic systems
• Life-span of classical solutions to nonlinear wave equations in two space dimensions
• Life-Span of Classical Solutions to Hyperbolic Geometric Flow in Two Space Variables with Slow Decay Initial Data
• Lifespan of solutions of semilinear wave equations in two space dimensions
• Blow-up or no blow-up? A unified computational and analytic approach to 3D incompressible Euler and Navier–Stokes equations
• Uniform decay estimates and the lorentz invariance of the classical wave equation
• Life–span of classocal solutions to fully nonlinear wave equations
• Blow-up of solutions of nonlinear wave equations in three space dimensions
• Blowup of smooth solutions to the compressible Navier-Stokes equation with compact density
• Life-Span of Solutions to Critical Semilinear Wave Equations
• Blow up of solutions to the Cauchy problem for nonlinear wave equations
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