The analysis of blow-up solutions to a semilinear parabolic system with weighted localized terms

• Autorzy: Haihua Lu , Feng Wang , Qiaoyun Jiang
• Języki publikacji: EN

Abstrakty

EN

This paper deals with blow-up properties of solutions to a semilinear parabolic system with weighted localized terms, subject to the homogeneous Dirichlet boundary conditions. We investigate the influence of the three factors: localized sources $u^{p}(x₀,t)$, vⁿ(x₀,t), local sources $u^{m}(x,t)$, $v^{q}(x,t)$, and weight functions a(x),b(x), on the asymptotic behavior of solutions. We obtain the uniform blow-up profiles not only for the cases m,q ≤ 1 or m,q > 1, but also for m > 1 & q < 1 or m < 1 & q > 1.

Kategorie tematyczne

• 35K15: Initial value problems for second-order parabolic equations
• 35K65: Degenerate parabolic equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2011
• Tom: 102
• Numer: 2
• Strony: 187-203

Daty

wydano

2011

Twórcy

autor

Haihua Lu

• Department of Mathematics, Southeast University, Nanjing 211189, P.R. China
• Department of Mathematics, Nantong University, Nantong 226019, P.R. China

autor

Feng Wang

• School of Mathematics and Physics, Changzhou University, Changzhou 213164, P.R. China

autor

Qiaoyun Jiang

• Department of Mathematics, Nantong University, Nantong 226019, P.R. China

Identyfikatory

DOI

10.4064/ap102-2-6