GLOBAL EXISTENCE AND BLOW-UP FOR A DOUBLY DEGENERATE PARABOLIC EQUATION SYSTEM WITH NONLINEAR BOUNDARY CONDITIONS
DOI10.1017/S0017089511000619zbMath1270.35282OpenAlexW2110599917MaRDI QIDQ2882495
Yongsheng Mi, Deng-Meng Liu, Chun-Lai Mu
Publication date: 6 May 2012
Published in: Glasgow Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0017089511000619
Asymptotic behavior of solutions to PDEs (35B40) Degenerate parabolic equations (35K65) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61) Quasilinear parabolic equations (35K59) Initial-boundary value problems for second-order parabolic systems (35K51)
Cites Work
- The blow-up rates for systems of heat equations with nonlinear boundary conditions
- Hölder estimates for quasilinear doubly degenerate parabolic equations
- Critical exponents of the non-Newtonian polytropic filtration equation with nonlinear boundary condition
- Critical exponents for a fast diffusive polytropic filtration equation with nonlinear boundary flux
- Critical curves for a fast diffusive polytropic filtration system coupled via nonlinear boundary flux
- Diffusivity versus absorption through the boundary
- Note on critical exponents for a system of heat equations coupled in the boundary conditions
- The blow-up profile for a fast diffusion equation with a nonlinear boundary condition
- Quasilinear parabolic systems of several components
- Quasilinear parabolic systems with nonlinear boundary conditions
- Semilinear reaction--diffusion systems of several components
- Critical Fujita exponents for degenerate parabolic equations coupled via nonlinear boundary flux
- On critical Fujita exponents for heat equations with nonlinear flux conditions on the boundary
- The role of critical exponents in blow-up theorems: The sequel
- Critical exponents and non-extinction for a fast diffusive polytropic filtration equation with nonlinear boundary sources
- Critical curves for degenerate parabolic equations coupled via nonlinear boundary flux
- The critical curve for a non-Newtonian polytropic filtration system coupled via nonlinear boundary flux
- Critical curves for fast diffusive non-Newtonian equations coupled via nonlinear boundary flux
- Critical curves of the non-Newtonian polytropic filtration equations coupled with nonlinear boundary conditions
- Blow-up sets and Fujita type curves for a degenerate parabolic system with nonlinear boundary conditions
- CRITICAL EXPONENTS FOR A DOUBLY DEGENERATE PARABOLIC SYSTEM COUPLED VIA NONLINEAR BOUNDARY FLUX
- The Role of Critical Exponents in Blowup Theorems
- Large time behaviour of solutions to a class of quasilinear parabolic equations with convection terms
- On the Critical Fujita Exponent for a Degenerate Parabolic System Coupled Via Nonlinear Boundary Flux
- The blow-up rate for a system of heat equations completely coupled in the boundary conditions
- A general approach to critical Fujita exponents in nonlinear parabolic problems
- Existence and non-existence of global solutions of diffusion systems with nonlinear boundary conditions
- Critical Fujita exponents for a class of quasilinear equations with homogeneous Neumann boundary data
This page was built for publication: GLOBAL EXISTENCE AND BLOW-UP FOR A DOUBLY DEGENERATE PARABOLIC EQUATION SYSTEM WITH NONLINEAR BOUNDARY CONDITIONS