| Title:
|
A variational approach to bifurcation in reaction-diffusion systems with Signorini type boundary conditions (English) |
| Author:
|
Baltaev, Jamol I. |
| Author:
|
Kučera, Milan |
| Author:
|
Väth, Martin |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
57 |
| Issue:
|
2 |
| Year:
|
2012 |
| Pages:
|
143-165 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
reaction-diffusion system |
| Keyword:
|
unilateral condition |
| Keyword:
|
variational inequality |
| Keyword:
|
local bifurcation |
| Keyword:
|
variational approach |
| Keyword:
|
spatial patterns |
| MSC:
|
35B32 |
| MSC:
|
35J50 |
| MSC:
|
35J57 |
| MSC:
|
35J87 |
| MSC:
|
35J88 |
| MSC:
|
35K57 |
| MSC:
|
47J20 |
| idZBL:
|
Zbl 1249.35020 |
| idMR:
|
MR2899729 |
| DOI:
|
10.1007/s10492-012-0010-2 |
| . |
| Date available:
|
2012-03-05T07:03:21Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/142033 |
| . |
| Reference:
|
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| Reference:
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