New global a priori estimates for the third-grade fluid equations

• Autor(es): Steinhauer, Mark ; Urbano, José Miguel ; Videman, Juha
• Data: 2005
• Identificador Persistente: http://hdl.handle.net/10316/11394
• Origem: Estudo Geral - Universidade de Coimbra
• Assunto(s): Third-grade fluid equations; Global a priori estimates; Regularity class
• Tipo de Documento: Preprint
• Idioma: Inglês

Descrição

This note bridges the gap between the existence and regularity classes for the solutions of the third-grade Rivlin-Ericksen fluid equations. We obtain a new global a priori estimate which conveys the precise regularity conditions that lead to the existence of a global in time regular solution