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Lower Bound of Blow Up Time for Solutions of a Class of Cross-coupled Porous Media Equations
  • Yingzhen XUE
Yingzhen XUE
Xi'an International University
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Abstract

Blow-up phenomena of solutions of a class of parabolic equations for porous media with nonlocal source terms cross-coupled under Dirichlet and Neumann boundary conditions. The differential inequality technique is used to obtain the lower bounds on the blow up time of the equation set under two different boundary conditions.