| Texto completo | |
| Autor(es): |
Carvajal, X.
;
Panthee, M.
Número total de Autores: 2
|
| Tipo de documento: | Artigo Científico |
| Fonte: | ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK; v. 73, n. 2, p. 15-pg., 2022-04-01. |
| Resumo | |
We consider the initial value problem (IVP) associated with a fifth-order KdV-BBM-type model that describes the propagation of unidirectional water waves. We prove that the regularity in the initial data propagates in the solution; in other words, no singularities can appear or disappear in the solution to this model. We also prove the local well-posedness of the IVP in the space of the analytic functions, the so-called Gevrey class. Furthermore, we discuss the evolution of radius of analyticity in such class by providing explicit formulas for upper and lower bounds. (AU) | |
| Processo FAPESP: | 20/14833-8 - Modelos de ondas dispersivas não lineares |
| Beneficiário: | Mahendra Prasad Panthee |
| Modalidade de apoio: | Auxílio à Pesquisa - Regular |