5 papers
Persistence of the reaction term in an unbalanced fast reaction limit
Yuki Tsukamoto
We study a fast reaction limit for a two-component reaction-diffusion system in which one component diffuses and the other does not. In the regime considered here, the nondiffusing…
Delayed diffusion with measure-valued kernels in nonlinear parabolic equations
Yuki Tsukamoto
We study nonlinear parabolic equations with delayed diffusion terms governed by finite signed measure kernels. The atom of the kernel at the origin is absorbed into the present-tim…
Vanishing interfaces in an asymmetric fast reaction limit
Yuki Tsukamoto
We study the fast reaction limit for a two-component reaction-diffusion system with asymmetric reaction terms, where only one component diffuses. For nonnegative and mutually segre…
Formation of stationary interfaces in the fast reaction limit
Yuki Tsukamoto
We study a two-component reaction-diffusion system in which one of the reaction terms becomes singularly large. Assuming that the initial data are nonnegative and mutually segregat…
Interface disappearance in fast reaction limit
Yuki Tsukamoto
We study the singular limit problem referred to as the fast reaction limit. This problem has been extensively studied when the same reaction term is used in a two-component system.…