Gradient blow-up in generalized Burgers and Boussinesq equations

DOI10.1070/IM8471zbMath1383.35035MaRDI QIDQ4605744

E. V. Yushkov, M. O. Korpusov

Publication date: 27 February 2018

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

zbMATH Keywords

gradient nonlinearitymethod of nonlinear capacityone-dimensional wave processes

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Initial-boundary value problems for nonlinear higher-order PDEs (35G31)

Related Items (2)

Global unsolvability of the Burgers equation with fractional time derivative ⋮ On nonextendable solutions and blow-ups of solutions of pseudoparabolic equations with coercive and constant-sign nonlinearities: analytical and numerical study

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Global unsolvability of one-dimensional problems for Burgers-type equations
• Blowup of solutions of a Korteweg-de Vries-type equation
• Blow-up of smooth solutions of the Korteweg-de Vries equation
• On a class of initial-boundary value problems for equations of Korteweg-de Vries type
• Local solvability and blowup of the solution of the Rosenau-Bürgers equation with different boundary conditions
• Local solvability and solution blowup for the Benjamin-Bona-Mahony-Burgers equation with a nonlocal boundary condition
• Critical exponents of instantaneous blow-up or local solubility of non-linear equations of Sobolev type
• Blow-up of solutions of non-linear equations of Kadomtsev-Petviashvili and Zakharov-Kuznetsov types

This page was built for publication: Gradient blow-up in generalized Burgers and Boussinesq equations