Maqola

A variational approach to bifurcation in reaction-diffusion systems with Signorini type boundary conditions

Jamol I. BaltaevDepartment of Mathematics, Urgench State University, Khorezm, UzbekistanMilan KučeraInstitute of Mathematics of the Academy of Sciences of the Czech Republic, Žitná 25, 115 67, Prague 1, Czech RepublicMartin VäthInstitute of Mathematics of the Academy of Sciences of the Czech Republic, Žitná 25, 115 67, Prague 1, Czech Republic

Applications of Mathematicsjournal2012en

ABI

Annotatsiya

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.

Mavzular

Advanced Mathematical Modeling in Engineering Nonlinear Dynamics and Pattern Formation Stability and Controllability of Differential Equations

Identifikatorlar

DOI: 10.1007/s10492-012-0010-2

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