Focusing blow-up for quasilinear parabolic equations
DOI10.1017/S0308210500030018zbMath0917.35061OpenAlexW1975294111MaRDI QIDQ4223665
Jianping Chen, Victor A. Galaktionov, Chris J. Budd
Publication date: 5 August 1999
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0308210500030018
blow-up patternsadaptive collocation methodcritical exponent caseintersection comparison methodzero Dirichlet boundary conditions at the singular point
Asymptotic behavior of solutions to PDEs (35B40) Degenerate parabolic equations (35K65) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)
Related Items (8)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Blow-up at the boundary for degenerate semilinear parabolic equations
- Simple adaptive grids for 1-D initial value problems
- Moving mesh methods based on moving mesh partial differential equations
- A moving collocation method for solving time dependent partial differential equations
- Blow-up behaviour of one-dimensional semilinear parabolic equations
- The form of blow-up for nonlinear parabolic equations
- Asymptotically self‐similar blow‐up of semilinear heat equations
- Some problems of the qualitative theory of non-linear degenerate second-order parabolic equations
- Non-linear diffusion in a finite mass medium
- Refined asymptotics for the blowup of ut — δu = up
- Channel flow with temperature-dependent viscosity and internal viscous dissipation
- Extinction for a quasilinear heat equation with absorption ii. a dynamical systems approach
- Asymptotics of blowup for weakly quasilinear parabolic problems
- On Asymptotic Self-Similar Behaviour for a Quasilinear Heat Equation: Single Point Blow-Up
- Moving Mesh Methods for Problems with Blow-Up
- Critical diffusion exponents for self-similar blow-up solutions of a quasilinear parabolic equation with an exponential source
- A nonlinear instability burst in plane parallel flow
This page was built for publication: Focusing blow-up for quasilinear parabolic equations