Blow-up time estimates in porous medium equations with nonlinear boundary conditions
From MaRDI portal
Publication:1990732
DOI10.1007/s00033-018-0993-yzbMath1400.35038OpenAlexW2859570894WikidataQ129643286 ScholiaQ129643286MaRDI QIDQ1990732
Publication date: 25 October 2018
Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00033-018-0993-y
Degenerate parabolic equations (35K65) Blow-up in context of PDEs (35B44) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61)
Related Items (4)
Blow-up conditions of nonlinear parabolic equations and systems under mixed nonlinear boundary conditions ⋮ Nontrivial boundary structure in a Neumann problem on balls with radii tending to infinity ⋮ Blow-up solution of a porous medium equation with nonlocal boundary conditions ⋮ Blow-up results of the positive solution for a weakly coupled quasilinear parabolic system
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Lower bounds for blow-up time in a parabolic problem with a gradient term under various boundary conditions
- Blow-up and global solutions for a class of nonlinear reaction diffusion equations under Dirichlet boundary conditions
- Blow-up time estimates in nonlocal reaction-diffusion systems under various boundary conditions
- Blow-up in \(p\)-Laplacian heat equations with nonlinear boundary conditions
- Blow-up phenomena for nonlinear pseudo-parabolic equations with gradient term
- On a model for the evolution of morphogens in growing tissue. III: \(\theta < \log(2)\)
- Blow-up theories for semilinear parabolic equations
- Blow-up phenomena for a semilinear heat equation with nonlinear boundary condition. I.
- Global existence and blow-up phenomena for nonlinear divergence form parabolic equations with inhomogeneous Neumann boundary conditions
- Blow-up phenomena for a semilinear heat equation with nonlinear boundary condition. II.
- Functional analysis, Sobolev spaces and partial differential equations
- Green function for Schrödinger operator and conditioned Feynman-Kac gauge
- On a model for the evolution of morphogens in a growing tissue II: \(\theta = \log (2)\) case
- Estimation of Sobolev embedding constant on a domain dividable into bounded convex domains
- Blow-up analysis in quasilinear reaction-diffusion problems with weighted nonlocal source
- Nonexistence theorems for the heat equation with nonlinear boundary conditions and for the porous medium equation backward in time
- Stability in the initial-time geometry problem for the Brinkman and Darcy equations of flow in porous media
- On a Model for the Evolution of Morphogens in a Growing Tissue
- Bounds for blow-up time for the heat equation under nonlinear boundary conditions
- Explosive Instabilities in Mechanics
- Blow-up problems for quasilinear reaction diffusion equations with weighted nonlocal source
- Blow‐up analysis for a class of nonlinear reaction diffusion equations with Robin boundary conditions
- ON A HIERARCHY OF APPROXIMATE MODELS FOR FLOWS OF INCOMPRESSIBLE FLUIDS THROUGH POROUS SOLIDS
- Stability and Wave Motion in Porous Media
This page was built for publication: Blow-up time estimates in porous medium equations with nonlinear boundary conditions