Milan Kučera (1997)
Czechoslovak Mathematical Journal
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Reaction-diffusion systems are studied under the assumptions guaranteeing diffusion driven instability and arising of spatial patterns. A stabilizing influence of unilateral conditions given by quasivariational inequalities to this effect is described.
Kučera, Milan
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Eisner, Jan (2000)
Mathematica Bohemica
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Jamol I. Baltaev, Milan Kučera, Martin Väth (2012)
Applications of Mathematics
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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...