Blow-up conditions of nonlinear parabolic equations and systems under mixed nonlinear boundary conditions
Abstract In this paper, we firstly discuss blow-up phenomena for nonlinear parabolic equations u t = ∇ ⋅ [ ρ ( u ) ∇ u ] + f ( x , t , u ) , in Ω × ( 0 , t ∗ ) , $$ u_{t}=\nabla \cdot \bigl[\rho (u)\nabla u \bigr]+f(x,t,u),\quad \text{in }\Omega \times \bigl(0,t^{*}\bigr), $$ under mixed nonlinear...
Main Authors: | , |
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Formato: | Artigo |
Idioma: | English |
Publicado em: |
SpringerOpen
2022-06-01
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Colecção: | Boundary Value Problems |
Assuntos: | |
Acesso em linha: | https://doi.org/10.1186/s13661-022-01627-9 |