Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6418102 | Journal of Mathematical Analysis and Applications | 2015 | 15 Pages |
Abstract
We study the existence of standing wave solutions of the complex Ginzburg-Landau equation(GL)Ïtâeiθ(ÏIâÎ)Ïâeiγ|Ï|αÏ=0 in RN, where α>0, (Nâ2)α<4, Ï>0 and θ,γâR. We show that for any θâ(âÏ/2,Ï/2) there exists ε>0 such that (GL) has a non-trivial standing wave solution if |γâθ|<ε. Analogous result is obtained in a ball ΩâRN for Ï>âλ1, where λ1 is the first eigenvalue of the Laplace operator with Dirichlet boundary conditions.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Rolci Cipolatti, Flávio Dickstein, Jean-Pierre Puel,