A variational approach to bifurcation in reaction-diffusion systems with Signorini type boundary conditions |
| |
Authors: | Jamol I Baltaev Milan Kučera Martin Väth |
| |
Institution: | 1.Department of Mathematics,Urgench State University,Khorezm,Uzbekistan;2.Institute of Mathematics of the Academy of Sciences of the Czech Republic,Prague 1,Czech Republic;3.Dept. of Mathematics (WE1),Free University of Berlin,Berlin,Germany |
| |
Abstract: | We consider a simple reaction-diffusion system exhibiting Turing’s diffusion driven instability if supplemented with classical
homogeneous mixed boundary conditions. We consider the case when the Neumann boundary condition is replaced by a unilateral
condition of Signorini type on a part of the boundary and show the existence and location of bifurcation of stationary spatially
non-homogeneous solutions. The nonsymmetric problem is reformulated as a single variational inequality with a potential operator,
and a variational approach is used in a certain non-direct way. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|