Existence and uniqueness of solutions to initial boundary value problem for the higher order Boussinesq equation

DOI10.1016/j.nonrwa.2018.11.012zbMath1409.35134OpenAlexW2912716845WikidataQ128458684 ScholiaQ128458684MaRDI QIDQ1729283

Goksu Oruc, Gulcin M. Muslu

Publication date: 27 February 2019

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2018.11.012

zbMATH Keywords

concavity methodexistence of global solutionexistence of local solution

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Initial-boundary value problems for higher-order hyperbolic equations (35L35) Blow-up in context of PDEs (35B44)

Cites Work

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• Blow-up of solution for a generalized Boussinesq equation
• A boundary value problem for the KdV equation: comparison of finite-difference and Chebyshev methods
• The occurrence of collapse for quasilinear equations of parabolic and hyperbolic types
• Higher order dispersive effects in regularized Boussinesq equation
• Blow-up and scattering of solution for a generalized Boussinesq equation
• Blow-up theorems for nonlinear wave equations
• A higher-order Boussinesq equation in locally non-linear theory of one-dimensional non-local elasticity
• Existence and non-existence of global solutions to a generalized modification of the improved Boussinesq equation
• Existence and nonexistence of global solutions for the generalized IMBq equation
• Kawahara dynamics in dispersive media

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