| Texto completo | |
| Autor(es): |
Bona, J. L.
;
Chen, H.
;
Panthee, M.
;
Scialom, M.
Número total de Autores: 4
|
| Tipo de documento: | Artigo Científico |
| Fonte: | BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY; v. 56, n. 1, p. 11-pg., 2025-03-01. |
| Resumo | |
Discussed here is a regularized version of the classical Gardner equation u(t)+u(x)+uu(x)+Au(2)u(x)-u(xxt)=0, that arises in hydrodynamics and plasma physics. This initial-value problem posed on all of R will be considered with bore-like initial data. That is, the initial wave configuration will consist of a moderately smooth function that asymptotes to zero as the spatial variable x ->+infinity, but converges tor>0asx ->-infinity. Such initial profiles can arise in internal wave propagation, for example. In their idealized versions set on all of R, they possess an infinite amount of potential energy. This makes the analysis of the initial-value problem a slightly more subtle than the common situation where the initial profile is assumed to be localized, so being modelled by Sobolev-class initial data. (AU) | |
| Processo FAPESP: | 23/06416-6 - Fenômenos não lineares e dispersão |
| Beneficiário: | Mahendra Prasad Panthee |
| Modalidade de apoio: | Auxílio à Pesquisa - Regular |
| Processo FAPESP: | 22/05646-5 - Um estudo qualitativo das soluções para modelos de ondas de água |
| Beneficiário: | Mahendra Prasad Panthee |
| Modalidade de apoio: | Auxílio à Pesquisa - Pesquisador Visitante - Internacional |