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

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F12%3A00376831" target="_blank" >RIV/67985840:_____/12:00376831 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s10492-012-0010-2" target="_blank" >http://dx.doi.org/10.1007/s10492-012-0010-2</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10492-012-0010-2" target="_blank" >10.1007/s10492-012-0010-2</a>

Result language
angličtina
Original language name
A variational approach to bifurcation in reaction-diffusion systems with Signorini type boundary conditions
Original language description
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.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
<a href="/en/project/IAA100190805" target="_blank" >IAA100190805: Bifurcation and parameter dependence for unilateral boundary value problems and interpretation in natural sciences</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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