APPROXIMATION OF BLOWING UP SOLUTIONS TO SEMILINEAR PARABOLIC EQUATIONS USING "MASS CONTROLLED" PARABOLIC SYSTEMS

DOI10.1142/S0218202599000488zbMath1013.35043MaRDI QIDQ4799016

Dolly Khuwayri Fayyad, Nabil R. Nassif

Publication date: 16 March 2003

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

computation of blow-up times

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55)

Related Items

On the numerical computation of blowing-up solutions for semilinear parabolic equations ⋮ Optimization of traffic flow conditions by minimization of quadratic functionals

Cites Work

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• Single point blow-up for a semilinear initial value problem
• Existence and non-existence of global solutions for a semilinear heat equation
• Boundedness and blow up for a semilinear reaction-diffusion system
• A Mathematical Analysis of Blowup for Thermal Reactions—the Spatially Nonhomogeneous Case
• On the nonlinear equations Δ𝑢+𝑒^{𝑢}=0 and ∂𝑣/∂𝑡=Δ𝑣+𝑒^{𝑣}

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