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.
Pavel Drábek, Milan Kučera, Marta Míková (1985)
Czechoslovak Mathematical Journal
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Tonkes, Elliot (2011)
International Journal of Mathematics and Mathematical Sciences
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Jan Eisner, Milan Kučera (1997)
Applications of Mathematics
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We consider a reaction-diffusion system of the activator-inhibitor type with boundary conditions given by inclusions. We show that there exists a bifurcation point at which stationary but spatially nonconstant solutions (spatial patterns) bifurcate from the branch of trivial solutions. This bifurcation point lies in the domain of stability of the trivial solution to the same system with Dirichlet and Neumann boundary conditions, where a bifurcation of this classical problem is excluded. ...
Le, Vy Khoi (2001)
Abstract and Applied Analysis
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Milan Kučera (1982)
Czechoslovak Mathematical Journal
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