Finite-time blow-up and global convergence of solutions to a nonlocal parabolic equation with conserved spatial integral
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Publication:1686275
DOI10.1016/j.nonrwa.2017.08.015zbMath1379.35040OpenAlexW2755875218MaRDI QIDQ1686275
Wei-Run Tao, Heng-Ling Wang, Xiao-Liu Wang
Publication date: 21 December 2017
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nonrwa.2017.08.015
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Blow-up in context of PDEs (35B44) Integro-partial differential equations (35R09)
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Cites Work
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- Convergence to steady state for the solutions of a nonlocal reaction-diffusion equation
- Global existence and non-extinction of solutions to a fourth-order parabolic equation
- On the large time behavior of the solutions of a nonlocal ordinary differential equation with mass conservation
- Global existence and asymptotic behavior of solutions to a nonlocal Fisher-KPP type problem
- Nonexistence of global solutions for a family of nonlocal or higher order parabolic problems.
- Finite-time blow-up and extinction rates of solutions to an initial Neumann problem involving the \(p(x,t)\)-Laplace operator and a non-local term
- Blow-up of a nonlocal semilinear parabolic equation with positive initial energy
- Generalized convexity and the existence of finite time blow-up solutions for an evolutionary problem
- A Gamma-convergence argument for the blow-up of a non-local semilinear parabolic equation with Neumann boundary conditions
- Semilinear parabolic equations with prescribed energy
- 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 note on blow-up of solutions for the nonlocal quasilinear parabolic equation with positive initial energy
- Nonlocal parabolic equation with conserved spatial integral
- Length-preserving evolution of immersed closed curves and the isoperimetric inequality
- Blow-up of a non-local semilinear parabolic equation with Neumann boundary conditions
- Blow-up and extinction for a thin-film equation with initial-boundary value conditions
- Transition to blow-up in a reaction–diffusion model with localized spike solutions
- Blowup in a Partial Differential Equation with Conserved First Integral
- Global blow-up for a semilinear heat equation on a subspace
- Nonlocal reaction—diffusion equations and nucleation
- Stability of stationary solutions of nonlocal reaction-diffusion equations in \(m\)-dimensional space.
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