4 papers
math.AP2026
Aggregation--Diffusion Equations with Regular or Repulsive Interactions: Gaussian and Self-Similar Asymptotics
Grzegorz Karch, Yuri Soga
We study the large-time behavior of solutions to the aggregation--diffusion equation Our main resu…
math.AP2026
A sharp criterion and complete classification of global-in-time solutions and finite time blow-up of solutions to a chemotaxis system in supercritical dimensions
Yuri Soga
We consider the chemotaxis system with indirect signal production in the whole space, \begin{equation}\label{abst:p}\tag{} \begin{cases} u_t = Δu - \nabla \cdot (u\nabla v),…
math.AP2025
A sufficient condition for absence of mass quantization in a chemotaxis system with local sensing
Yuri Soga
We analyze blowup solutions in infinite time of the Neumann boundary value problem for the fully parabolic chemotaxis system with local sensing: \begin{equation*} \begin{cases} u_t…
math.AP2025
Concentration phenomena to a chemotaxis system with indirect signal production
Yuri Soga
We consider a parabolic-ODE-parabolic chemotaxis system with radially symmetric initial data in a two-dimensional disk under the -Neumann boundary condition. Although our system…