Global existence in reaction–diffusion systems with mass control under relaxed assumptions merely referring to cross-absorptive effects
JOURNAL OF EVOLUTION EQUATIONS(2022)
摘要
We introduce a generalized concept of solutions for reaction–diffusion systems and prove their global existence. The only restriction on the reaction function beyond regularity, quasipositivity and mass control is special in that it merely controls the growth of cross-absorptive terms. The result covers nonlinear diffusion and does not rely on an entropy estimate.
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关键词
Reaction–diffusion equation,Renormalized solution,Global existence
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