3 papers
math.AP2026
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…
math.AP2026
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…
math.AP2025
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…