Global existence, finite time blow-up, and vacuum isolating phenomenon for a class of thin-film equation
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Publication:2174259
DOI10.1007/s10883-019-09442-9zbMath1439.76012OpenAlexW2944777189WikidataQ127913563 ScholiaQ127913563MaRDI QIDQ2174259
Guangyu Xu, Jun Zhou, Chun-Lai Mu
Publication date: 21 April 2020
Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10883-019-09442-9
Asymptotic behavior of solutions to PDEs (35B40) Integro-partial differential equations (45K05) Initial-boundary value problems for higher-order parabolic equations (35K35) Thin fluid films (76A20) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58) Integro-partial differential equations (35R09)
Related Items (3)
Existence and nonexistence of solutions of thin-film equations with variable exponent spaces ⋮ Well-posedness and dynamic properties of solutions to a class of fourth order parabolic equation with mean curvature nonlinearity ⋮ Blow-up of solutions to a fourth-order parabolic equation with/without \(p\)-Laplacian and general nonlinearity modeling epitaxial growth
Cites Work
- Unnamed Item
- Unnamed Item
- Blow-up for a thin-film equation with positive initial energy
- Global existence, blow up and extinction for a class of thin-film equation
- Blowup, extinction and non-extinction for a nonlocal \(p\)-biharmonic parabolic equation
- Global existence, uniform decay and exponential growth for a class of semi-linear wave equations with strong damping
- Non-extinction of solutions to a fast diffusive \(p\)-Laplace equation with Neumann boundary conditions
- General and optimal decay for a quasilinear viscoelastic equation
- A new blow-up condition for a parabolic equation with singular potential
- Energy decay rate of solutions for the wave equation with singular nonlinearities
- Blow-up of a nonlocal semilinear parabolic equation with positive initial energy
- Energy decay of a viscoelastic wave equation with supercritical nonlinearities
- A Gamma-convergence argument for the blow-up of a non-local semilinear parabolic equation with Neumann boundary conditions
- Global existence and blow up of solutions for Cauchy problem of generalized Boussinesq equation
- Blow-up of the solution for a \(p\)-Laplacian equation with positive initial energy
- Polyharmonic boundary value problems. Positivity preserving and nonlinear higher order elliptic equations in bounded domains
- Applied functional analysis. Functional analysis, Sobolev spaces and elliptic differential equations
- On potential wells and vacuum isolating of solutions for semilinear wave equations
- A fourth-order parabolic equation modeling epitaxial thin film growth
- Global existence and blow-up of solutions to a singular non-Newton polytropic filtration equation with critical and supercritical initial energy
- Degenerate Kirchhoff-type hyperbolic problems involving the fractional Laplacian
- Finite time blow-up for a thin-film equation with initial data at arbitrary energy level
- Global existence and finite time blow-up of the solution for a thin-film equation with high initial energy
- Global existence and finite time blow-up for a class of thin-film equation
- Global existence, finite time blow-up and vacuum isolating phenomena for semilinear parabolic equation with conical degeneration
- 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
- A geometric model for coarsening during spiral-mode growth of thin films
- A continuum model of kinetic roughening and coarsening in thin films
- Blow-up phenomena for a nonlocal semilinear parabolic equation with positive initial energy
- Blow-up versus extinction in a nonlocal \(p\)-Laplace equation with Neumann boundary conditions
- A class of fourth order wave equations with dissipative and nonlinear strain terms
- Exponential and polynomial decay for a quasilinear viscoelastic equation
- Potential well method for Cauchy problem of generalized double dispersion equations
- Blow-up of a non-local semilinear parabolic equation with Neumann boundary conditions
- On potential wells and applications to semilinear hyperbolic equations and parabolic equations
- Blow-up and extinction for a thin-film equation with initial-boundary value conditions
- Asymptotic behaviour of the thin film equation in bounded domains
- A new blow-up condition for semi-linear edge degenerate parabolic equation with singular potentials
- Exponential Energy Decay for Damped Klein–Gordon Equation with Nonlinearities of Arbitrary Growth
- Stationary Solutions of Chemotaxis Systems
- Vacuum isolating, blow up threshold, and asymptotic behavior of solutions for a nonlocal parabolic equation
- On the dynamics of a non-local parabolic equation arising from the Gierer–Meinhardt system
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