4 papers
Global existence and boundedness for a degenerate chemotaxis system with indirect signal production via minimizing movement schemes
Tatsuya Hosono, Philippe Lauren{\cc}ot
Global existence and boundedness of weak solutions for a fully parabolic degenerate chemotaxis system with indirect signal production are proved for any initial data in the subcrit…
Global existence for the fully parabolic Keller--Segel system with critical mass on the plane
Tatsuya Hosono
We study the global existence of solutions to the Cauchy problem for the two-dimensional fully parabolic Keller--Segel system at the critical mass. It is known that global-in-time…
Nonlinear Fisher information, corresponding functional inequalities and applications
Tomasz Cieślak, Kentaro Fujie, Tatsuya Hosono
We study the evolution of the nonlinear version of the Fisher information along the quasilinear heat equation. We also provide a nonlinear version of a recent functional inequality…
Global existence and boundedness of solutions to a fully parabolic chemotaxis system with indirect signal production in
Tatsuya Hosono, Philippe Laurençot
Global existence and boundedness of solutions to the Cauchy problem for the four dimensional fully parabolic chemotaxis system with indirect signal production are studied. We prove…