| Full text | |
| Author(s): |
Total Authors: 3
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| Affiliation: | [1] Univ Sao Paulo, Inst Ciencias Matemat & Comp, Campus Sao Carlos, Caixa Postal 668, Sao Carlos, SP - Brazil
[2] Univ Brasilia, Dept Matemat, Campus Univ Darcy Ribeiro, BR-70910900 Brasilia, DF - Brazil
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | Journal of Mathematical Fluid Mechanics; v. 20, n. 2, p. 801-818, JUN 2018. |
| Web of Science Citations: | 1 |
| Abstract | |
The present paper deals with existence and uniqueness of global mild solutions for a new model of Navier Stokes equations on R-2 subjected to impulse effects at variable times. By using the framework of impulsive/nonautonomous dynamical systems we are able to consider impulse effects in the system as well relax conditions on the external forcing term which is, in our case, non-linear and explicitly time-dependent, extending previous results on the specialized literature. Moreover, we also introduce sufficient conditions on the structure of the impulse set which ensure dissipativity for the system, i.e., uniform boundedness of global solutions starting in bounded sets, which is an indicative to the existence of objects as attractors. (AU) | |
| FAPESP's process: | 12/16709-6 - Non-autonomous systems with impulses: convergent systems and the Navier-Stokes Equation |
| Grantee: | Everaldo de Mello Bonotto |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 14/16165-1 - Asymptotic properties of semilinear problems: singular perturbations and applications |
| Grantee: | Ricardo Parreira da Silva |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 16/24711-1 - Pullback attractors for cocycles |
| Grantee: | Everaldo de Mello Bonotto |
| Support Opportunities: | Regular Research Grants |
| FAPESP's process: | 12/08473-2 - The impulsive non autonomous Navier-Stokes equation |
| Grantee: | Jaqueline Godoy Mesquita |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |