Evolution of the radius of analyticity for dispersive equations and systems involv...
Well-posedness of weakly dispersive equations in spaces of analytic functions
Global in time analytic solutions for the good Boussinesq equation and the nonline...
| Full text | |
| Author(s): |
Carvajal, X.
;
Panthee, M.
Total Authors: 2
|
| Document type: | Journal article |
| Source: | ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK; v. 73, n. 2, p. 15-pg., 2022-04-01. |
| Abstract | |
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) | |
| FAPESP's process: | 20/14833-8 - Nonlinear dispersive wave models |
| Grantee: | Mahendra Prasad Panthee |
| Support Opportunities: | Regular Research Grants |