Non-Newtonian incompressible fluids with nonlinear shear tensor and conditions

Autor(es)

Lopez-Lazaro, hereditary Heraclio Ledgar ; Marin-Rubio, Pedro ; Planas, Gabriela

• Tipo de documento: Artigo Científico
• Fonte: COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION; v. 138, p. 20-pg., 2024-07-19.

Resumo

We consider a mathematical model with delay for non-Newtonian incompressible fluids in a bounded domain. Existence of global weak solutions is proved under suitable regularity on the initial data and the forces. Conditions for uniqueness are also given, but in general the results are stated in a multi-valued framework. Suitable multi-valued dynamical systems are well-posed, using basically L-2(Omega)(n) x L-2(-h, 0; L-2(Omega)(n)) or C([-h, 0]; L-2(Omega)(n)) norms. Then the existence of pullback attractors is ensured acting on several universes, some of them of fixed bounded sets and others of tempered type, depending on parameters related to an integrability condition of the force and the delay term. Finally, relationships between these families of attractors are also provided, improving the characterization of attraction with respect to previous results. (AU)

• Processo FAPESP: 21/01931-4 - Comportamento assintótico pullback para equações parabólicas não lineares com parte principal subdiferencial
• Beneficiário: Heraclio Ledgar López Lázaro
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado
• Processo FAPESP: 22/13001-4 - Dimensão fractal finita para equações parabólicas não-lineares com parte principal subdiferencial
• Beneficiário: Heraclio Ledgar López Lázaro
• Modalidade de apoio: Bolsas no Exterior - Estágio de Pesquisa - Pós-Doutorado
• Processo FAPESP: 19/02512-5 - Sistemas e equações diferenciais parciais
• Beneficiário: Marcelo da Silva Montenegro
• Modalidade de apoio: Auxílio à Pesquisa - Temático