I am currently interested in studying the global existence of solutions toward Chemotaxis systems.
Publications
Global existence of solutions to the chemotaxis system with logistic source under nonlinear Neumann boundary conditions.
Blow-up prevention by sub-logistic sources in Keller-Segel cross diffusion type system
Global existence of solutions in some chemotaxis systems with sub-logistic source under nonlinear Neumann boundary conditions in 2d
Global existence of solutions in two-species chemotaxis system with two chemicals with sub-logistic sources in 2d
Blow-up prevention by sub-logistic sources in 2d Keller-Segel chemotaxis system with superlinear signal production
Global existence of solutions to some degenerate chemotaxis systems with superlinear growth in cross-diffusion rates and logistic sources
Boundedness in a chemotaxis system with weakly singular sensitivity in dimension two with arbitrary sub-quadratic degradation sources