Degeneracy in Finite Time of 1D Quasilinear Wave Equations
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Publication:2790397
DOI10.1137/15M1016369zbMath1342.35181OpenAlexW2290924168MaRDI QIDQ2790397
Publication date: 4 March 2016
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/15m1016369
Asymptotic behavior of solutions to PDEs (35B40) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for second-order hyperbolic equations (35L15) Second-order quasilinear hyperbolic equations (35L72)
Related Items
Existence and nonexistence theorems of global weak solutions to degenerate quasilinear wave equations for the elasticity ⋮ Finite-time degeneration of hyperbolicity without blowup for quasilinear wave equations ⋮ Singularity formation for the 1D compressible Euler equations with variable damping coefficient ⋮ Degeneracy in finite time of 1D quasilinear wave equations. II ⋮ On the existence of solutions to a one-dimensional degenerate nonlinear wave equation ⋮ Global and blow-up solutions for compressible Euler equations with time-dependent damping ⋮ Formation of singularities for a family of 1D quasilinear wave equations
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