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Influence of Signorini boundary conditions on bifurcation in reaction-diffusion systems
of Signorini boundary conditions to a bifurcation of spatially nonhomogeneous stationary of this type, in the case of unilateral conditions only for the activator, no Dirichlet boundary conditions
BA - Obecná matematika
- 2009 •
- D
Rok uplatnění
D - Stať ve sborníku
Smooth dependence on data of solutions and contact regions for a Signorini problem
We prove that the solutions to a 2D Poisson equation with unilateral boundary conditions of Signorini type as well as their contact intervals depend smoothly on the data. The result is based on a certain local equivalence o...
BA - Obecná matematika
- 2010 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
A variational approach to bifurcation in reaction-diffusion systems with Signorini type boundary conditions
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 condit...
BA - Obecná matematika
- 2012 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Smooth bifurcation for a Signorini problem on a rectangle.
We study a parameter depending semilinear elliptic PDE on a rectangle with Signorini boundary conditions on a part of one edge and mixed (zero Dirichlet and Neumann) boundary conditions on the rest of the ...
BA - Obecná matematika
- 2012 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Direction and stability of bifurcating solutions for a Signorini problem
The equation Delta u+lambda u+ g(lambda, u)u = 0 is considered in a bounded domain in R-2 with a Signorini condition on a straight part of the boundary and with mixed boundary conditions on the rest of the...
BA - Obecná matematika
- 2015 •
- Jx •
- Link
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Výsledek na webu
Smooth bifurcation branches of solutions for a Signorini problem
We study a bifurcation problem for the equation ?u+?u+g(?,u)u=0 on a rectangle with Signorini boundary conditions on a part of one edge and mixed (zero Dirichlet and Neumann) boundary conditions on the res...
BA - Obecná matematika
- 2011 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Smooth bifurcation for a Signorini problem on a rectangle
We study a parameter depending semilinear elliptic PDE on a rectangle with Signorini boundary conditions on a part of one edge and mixed (zero Dirichlet and Neumann) boundary conditions on the rest of the ...
BA - Obecná matematika
- 2012 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Location of bifurcation points for a reaction-diffusion system with Neumann-Signorini conditions
. We determine the change of bifurcation when a pure Neumann condition is supplemented witha Signorini condition. We show that this change differs essentially from the known case when also Dirichlet conditions are ...
BA - Obecná matematika
- 2011 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Fictitious domain formulations of unilateral problems: analysis and algorithms
The present article deals with fictitious domain methods for numerical realization of scalar variational inequalities with the Signorini type conditions on the boundary. Two variants are introduced and analyzed. A discretiz...
BA - Obecná matematika
- 2009 •
- Jx
Rok uplatnění
Jx - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)
Numerical realization of the Signorini problem with given friction, Nonconvex/nonsmooth mechanics
Numerical realization of the Signorini problem with given friction, Nonconvex/nonsmooth mechanics.
BA - Obecná matematika
- 2001 •
- D
Rok uplatnění
D - Stať ve sborníku
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