Cauchy problem for one-dimensional semilinear hyperbolic systems: Global existence, blow up
From MaRDI portal
Publication:1910860
DOI10.1006/jdeq.1996.0022zbMath0859.35069OpenAlexW2043525663MaRDI QIDQ1910860
Bernard Hanouzet, Denise Aregba-Driollet
Publication date: 9 May 1996
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jdeq.1996.0022
First-order nonlinear hyperbolic equations (35L60) Initial value problems for second-order hyperbolic equations (35L15)
Related Items
Global solutions to Gross-Neveu equation ⋮ Semilinear behavior for totally linearly degenerate hyperbolic systems with relaxation ⋮ A second-order asymptotic-preserving and positivity-preserving discontinuous Galerkin scheme for the Kerr–Debye model ⋮ Convergence of numerical algorithms for semilinear hyperbolic systems ⋮ Global existence of small solutions to the Kerr-Debye model for the three-dimensional Cauchy problem ⋮ Formation of singularities in compressible Euler-Poisson fluids with heat diffusion and damping relaxation ⋮ Unnamed Item ⋮ Formation of singularities for a family of 1D quasilinear wave equations