[MS09] The interplay between pure mathematics and mathematical biology

[MS09-04] Global boundedness in chemotaxis systems with Robin boundary conditions

*Yuya Tanaka¹, Khadijeh Baghaei³, Silvia Frassu², Giuseppe Viglialoro² (1. Kwansei Gakuin Univ. (Japan), 2. Univ. of Cagliari (Italy), 3. Institute for Research in Fundamental Sciences (Iran))

Keywords:

Chemotaxis system,Boundedness,Robin boundary condition

This talk is concerned with global existence and boundedness of solutions to chemotaxis systems, where chemotaxis is a motion of cells oriented toward higher concentrations of a chemical substance. In mathematical studies of chemotaxis systems, Neumann boundary conditions are usually assumed. In such systems, a mass conservation property or an L¹ bound can be obtained immediately. On the other hand, this is not the case for Robin boundary conditions. In this talk I will present results on L¹ bounds and global boundedness of solutions to chemotaxis systems with Robin boundary conditions.