FINITE-TIME BLOW-UP AND CRITICAL LIFESPAN IN DOUBLY NONLINEAR PARABOLIC SYSTEMS WITH SPATIAL WEIGHTS

Abstract. This paper is devoted to the analysis of finite-time blow-up phenomena and the lifespan of solutions to a class of coupled doubly nonlinear parabolic systems with spatially weighted diffusion and time-dependent source terms. The governing model incorporates heterogeneous density functions, nonlinear diffusion with generalized exponents, and explicit inter-component coupling, which significantly influence the qualitative behavior of solutions.

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