On the nonextendable solution and blow-up of the solution of the one-dimensional equation of ion-sound waves in a plasma

DOI10.1134/S000143461709005XzbMath1380.35029OpenAlexW2762566497MaRDI QIDQ679850

A. A. Panin, M. O. Korpusov

Publication date: 22 January 2018

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s000143461709005x

zbMATH Keywords

Sobolev-type equationexponential nonlinearityupper bound for the blow-up timenonlinear initial boundary-value problem

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Blow-up in context of PDEs (35B44) Second-order quasilinear hyperbolic equations (35L72)

Related Items (9)

Local solvability and global unsolvability of a model of ion-sound waves in a plasma ⋮ On the absence of solutions of differential inequalities with the \(\infty \)-Laplacian ⋮ On blow-up conditions for solutions of differential inequalities with \(\varphi\)-Laplacian ⋮ Blow-up and global solubility in the classical sense of the Cauchy problem for a formally hyperbolic equation with a non-coercive source ⋮ Blow-up instability in non-linear wave models with distributed parameters ⋮ Blow-up of solutions to semilinear nonautonomous wave equations with Robin boundary conditions ⋮ Nonlinear equations of the theory of ion-sound plasma waves ⋮ Local solvability, blow-up, and Hölder regularity of solutions to some Cauchy problems for nonlinear plasma wave equations. I: Green formulas ⋮ On nonextendable solutions and blow-ups of solutions of pseudoparabolic equations with coercive and constant-sign nonlinearities: analytical and numerical study

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