Global existence and finite time blow-up of the solution for a thin-film equation with high initial energy
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Publication:1674406
DOI10.1016/j.jmaa.2017.09.031zbMath1375.35058OpenAlexW2754189934MaRDI QIDQ1674406
Publication date: 2 November 2017
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.09.031
Initial-boundary value problems for higher-order parabolic equations (35K35) Thin fluid films (76A20) Thin films (74K35) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58) Integro-partial differential equations (35R09)
Related Items (13)
Global existence, finite time blow-up, and vacuum isolating phenomenon for a class of thin-film equation ⋮ A class of fourth-order parabolic equations with logarithmic nonlinearity ⋮ Global well-posedness for a nonlocal semilinear pseudo-parabolic equation with conical degeneration ⋮ Existence and nonexistence of solutions of thin-film equations with variable exponent spaces ⋮ Ground state solution for a fourth-order elliptic equation with logarithmic nonlinearity modeling epitaxial growth ⋮ Global existence and blow-up of weak solutions for a class of fractional \(p\)-Laplacian evolution equations ⋮ Global existence and blow-up of solutions to a nonlocal parabolic equation with singular potential ⋮ Global asymptotical behavior and some new blow-up conditions of solutions to a thin-film equation ⋮ Lower bound of blow-up time to a fourth order parabolic equation modeling epitaxial thin film growth ⋮ Global existence and blow-up for a parabolic problem of Kirchhoff type with logarithmic nonlinearity ⋮ Behavior of solutions to a fourth-order nonlinear parabolic equation with logarithmic nonlinearity ⋮ Well-posedness of solutions for the sixth-order Boussinesq equation with linear strong damping and nonlinear source ⋮ Qualitative properties for a pseudo-parabolic equation with nonlocal reaction term
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