Incomplete Self-Similar Blow-Up in a Semilinear Fourth-Order Reaction-Diffusion Equation
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Publication:3565039
DOI10.1111/j.1467-9590.2009.00474.xzbMath1196.35058arXiv0902.1090OpenAlexW2137179550MaRDI QIDQ3565039
Publication date: 27 May 2010
Published in: Studies in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0902.1090
Reaction-diffusion equations (35K57) Initial value problems for higher-order parabolic equations (35K30) Blow-up in context of PDEs (35B44) Semilinear parabolic equations (35K58) Self-similar solutions to PDEs (35C06)
Related Items (5)
Global existence and non-extinction of solutions to a fourth-order parabolic equation ⋮ A spectral analysis of the nonlinear Schrödinger equation in the co-exploding frame ⋮ Extinction and asymptotic behavior of solutions for the \(\omega\)-heat equation on graphs with source and interior absorption ⋮ Initial-boundary value problems for a reaction-diffusion equation ⋮ Very Singular Solutions for Thin Film Equations with Absorption
Cites Work
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- Critical global asymptotics in higher-order semilinear parabolic equations
- Radial entire solutions for supercritical biharmonic equations
- Global solutions of higher-order semilinear parabolic equations in the supercritical range
- Evolution completeness of separable solutions of non-linear diffusion equations in bounded domains
- Asymptotically Self-similar Global Solutions for a Higher-order Semilinear Parabolic System
- Asymptotically self-similar global solutions for a higher-order semilinear parabolic equation
- On blow-up space jets for the Navier–Stokes equations in R3 with convergence to Euler equations
- Five types of blow-up in a semilinear fourth-order reaction–diffusion equation: an analytic–numerical approach
- Asymptotically self‐similar blow‐up of semilinear heat equations
- On a spectrum of blow–up patterns for a higher–order semilinear parabolic equation
- SHARP HEAT-KERNEL ESTIMATES FOR HIGHER-ORDER OPERATORS WITH SINGULAR COEFFICIENTS
- Blow-up in a fourth-order semilinear parabolic equation from explosion-convection theory
- Self-Similar Blow-Up in Higher-Order Semilinear Parabolic Equations
- Blow-up similarity solutions of the fourth-order unstable thin film equation
- Blow-up and global asymptotics of the limit unstable Cahn--Hilliard equation
- HIGHER-ORDER QUASILINEAR PARABOLIC EQUATIONS WITH SINGULAR INITIAL DATA
- Analytic semigroups and optimal regularity in parabolic problems
- Explicit estimates on the fundamental solution of higher-order parabolic equations with measurable coefficients
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