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- W4225725462 abstract "The aim of this paper is to study the existence of weak solutions and of a finite stopping time for a large class of generalized newtonian fluids with thixotropic and shear-thinning flows. In a first time, the existence of the weak solutions is established using variational inequalities. In order to prove the existence of solutions we regularize the non-linear term and then we apply a Galerkin method for finally passing to the limit with respect to both regularization and Galerkin discretization parameters. In a second time, we prove the existence of a finite stopping time for a class of fluids with threshold flows in dimension (N in {2, 3}). More exactly, we show that if the extra non-linear term is of the form (F(s) = s^{-alpha}) with (alpha in (0, frac{4}{N+2}]) when (s) is large, then there exists a finite stopping time. This result extends the existing results concerning the existence of a finite stopping time for Bingham fluids in dimension two." @default.
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- W4225725462 date "2021-12-06" @default.
- W4225725462 modified "2023-09-24" @default.
- W4225725462 title "Existence and stopping time for solutions of a class of non newtonian viscous fluids with thixotropic or shear thinning flows" @default.
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