NUMERICAL BLOW-UP FOR A NONLINEAR PROBLEM WITH A NONLINEAR BOUNDARY CONDITION
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Publication:4798972
DOI10.1142/S021820250200174XzbMath1028.35082WikidataQ128028589 ScholiaQ128028589MaRDI QIDQ4798972
Pablo Groisman, Raúl Ferreira, Julio D. Rossi
Publication date: 16 March 2003
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Degenerate parabolic equations (35K65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Theoretical approximation in context of PDEs (35A35)
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Cites Work
- Diffusivity versus absorption through the boundary
- On the blow-up time convergence of semidiscretizations of reaction-diffusion equations
- Blowup in diffusion equations: A survey
- Numerical approximation of a parabolic problem with a nonlinear boundary condition
- Blow-up for semidiscretizations of reaction-diffusion equations
- The Role of Critical Exponents in Blowup Theorems
- A rescaling algorithm for the numerical calculation of blowing-up solutions
- On the blow-up set for u_t=du^m+u^m, m>1
- Semidiscretization in Time of Nonlinear Parabolic Equations with Blowup of the Solution
- Moving Mesh Methods for Problems with Blow-Up
