Blow-up phenomena for nonlinear pseudo-parabolic equations with gradient term

DOI10.3934/dcdsb.2017096zbMath1366.35101OpenAlexW2595977128MaRDI QIDQ521497

Stella Vernier Piro, Giuseppe Viglialoro, Monica Marras

Publication date: 11 April 2017

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2017096

zbMATH Keywords

blow-upglobal existencepseudo-parabolic systemspseudo-parabolic equations

Mathematics Subject Classification ID

Ultraparabolic equations, pseudoparabolic equations, etc. (35K70) Blow-up in context of PDEs (35B44)

Related Items

Global existence and blow-up analysis for parabolic equations with nonlocal source and nonlinear boundary conditions ⋮ Blow-up analysis of a nonlinear pseudo-parabolic equation with memory term ⋮ An inverse source problem for pseudo-parabolic equation with Caputo derivative ⋮ Existence and blow-up of weak solutions of a pseudo-parabolic equation with logarithmic nonlinearity ⋮ On a class of forward-backward parabolic equations: formation of singularities ⋮ Bounds for blow-up time in nonlinear pseudo-parabolic equations ⋮ Initial boundary value problem for a inhomogeneous pseudo-parabolic equation ⋮ Blow-up time estimates in porous medium equations with nonlinear boundary conditions

Cites Work

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• Global existence and finite time blow-up for a class of semilinear pseudo-parabolic equations
• Lower bounds for blow-up time in a parabolic problem with a gradient term under various boundary conditions
• On global existence and bounds for blow-up time in nonlinear parabolic problems with time dependent coefficients
• Blow up and decay bounds in quasi linear parabolic problems
• Some nonexistence and instability theorems for solutions of formally parabolic equations of the form \(Pu_t=-Au+ {\mathfrak F} (u)\)
• Lower bounds for blow-up time in a class of nonlinear wave equations
• On a theory of heat conduction involving two temperature
• Parabolic and pseudo-parabolic partial differential equations
• ESTIMATES FROM BELOW OF BLOW-UP TIME IN A PARABOLIC SYSTEM WITH GRADIENT TERM
• Blow-up in Nonlinear Sobolev Type Equations
• Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks [strata]
• Blow‐up phenomena for a pseudo‐parabolic equation
• Pseudoparabolic Partial Differential Equations