Gradient blow-up for a fourth-order quasilinear Boussinesq-type equation
type: Item
instance of: scholarly article
title: Gradient blow-up for a fourth-order quasilinear Boussinesq-type equation
zbMATH Open document ID: 1403.35058
author: Pablo Álvarez-Caudevilla
author: J. D. Evans
author: V. A. Galaktionov
published in: Discrete and Continuous Dynamical Systems
publication date: 2018-08-16T00:00:00Z
Mathematics Subject Classification ID: 35B44
Mathematics Subject Classification ID: 41A60
Mathematics Subject Classification ID: 35C20
Mathematics Subject Classification ID: 35G20
Mathematics Subject Classification ID: 35C06
Mathematics Subject Classification ID: 35L77
zbMATH DE Number: 6919402
zbMATH Keywords: fourth-order quasilinear wave equation
zbMATH Keywords: selfsimilarity of the second kind
MaRDI profile type: Publication
full work available at URL: dcds.2018170
OpenAlex ID: W2806450356
cites work: Local bifurcation-branching analysis of global and ``blow-up'' patterns for a fourth-order thin film equation
cites work: The Cauchy problem for a tenth-order thin film equation. I. bifurcation of oscillatory fundamental solutions
cites work: Well-posedness of the Cauchy problem for a fourth-order thin film equation via regularization approaches
cites work: Q5185568
cites work: The role of self-similarity in singularities of partial differential equations
cites work: Global solutions of higher-order semilinear parabolic equations in the supercritical range
cites work: Unstable sixth-order thin film equation: II. Global similarity patterns
cites work: Classification of general Wentzell boundary conditions for fourth order operators in one space dimension
cites work: On higher-order viscosity approximations of odd-order nonlinear PDEs
cites work: Hermitian Spectral Theory and Blow‐Up Patterns for a Fourth‐Order Semilinear Boussinesq Equation
cites work: Regional, Single Point, and Global Blow-up for the Fourth-order Porous Medium Type Equation with Source
cites work: Shock waves and compactons for fifth-order non-linear dispersion equations
cites work: Single Point Gradient Blow-Up and Nonuniqueness for a Third-Order Nonlinear Dispersion Equation
cites work: Third-order nonlinear dispersive equations: Shocks, rarefaction, and blowup waves
cites work: Q3413918
cites work: New compacton and solitary pattern solutions of the nonlinear modified dispersive Klein-Gordon equations
cites work: Q3336252
cites work: Q3994769
cites work: Q5634277
cites work: Q5182723
cites work: Constructing exact solutions for two-dimensional nonlinear dispersion Boussinesq equation. II: Solitary pattern solutions
Wikidata QID: Q129697273
DOI: 10.3934/DCDS.2018170
description: scientific article; zbMATH DE number 6919402