Well-posedness of stochastic third grade fluid equation

Cipriano, Fernanda; Didier, Philippe; Guerra, Sílvia

http://hdl.handle.net/10362/114396

Utilize este identificador para referenciar este registo.

Nome:	Descrição:	Tamanho:	Formato:
2103.06791.pdf		336.92 KB	Adobe PDF	Ver/Abrir

Contacte-nos

Autores

Cipriano, Fernanda

Didier, Philippe

Guerra, Sílvia

Resumo(s)

In this paper, we establish the well-posedness for the third grade fluid equation perturbed by a multiplicative white noise. This equation describes the motion of a non-Newtonian fluid of differential type with relevant viscoelastic properties. We are faced with a strongly nonlinear stochastic partial differential equation supplemented with a Navier slip boundary condition. Taking the initial condition in the Sobolev space H2, we show the existence and the uniqueness of the strong (in the probability sense) solution in a two dimensional and non axisymmetric bounded domain.