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- W2964154295 abstract "In this paper, we provide an example of a class of two reaction-diffusion-ODE equations with homogeneous Neumann boundary conditions, in which Turing-type instability not only destabilizes constant steady states but also induces blow-up of nonnegative spatially heterogeneous solutions. Solutions of this problem preserve nonnegativity and uniform boundedness of the total mass. Moreover, for the corresponding system with two non-zero diffusion coefficients, all nonnegative solutions are global in time. We prove that a removal of diffusion in one of the equations leads to a finite-time blow-up of some nonnegative spatially heterogeneous solutions." @default.
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- W2964154295 date "2016-08-01" @default.
- W2964154295 modified "2023-10-18" @default.
- W2964154295 title "Diffusion-driven blowup of nonnegative solutions to reaction-diffusion-ODE systems" @default.
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