Abstract
This article studies the stochastic evolution of incompressible non-Newtonian fluids of differential type. More precisely, we consider the equations governing the dynamic of a third grade fluid filling a three-dimensional bounded domain O, perturbed by a multiplicative white noise. Taking the initial condition in the Sobolev space H2 (O), and supplementing the equations with a Navier slip boundary condition, we establish the existence of a global weak stochastic solution with sample paths in L∞ (0, T; H2 (O)).
Original language | English |
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Article number | 3211 |
Pages (from-to) | 1-16 |
Number of pages | 16 |
Journal | Water (Switzerland) |
Volume | 12 |
Issue number | 11 |
DOIs | |
Publication status | Published - 16 Nov 2020 |
Keywords
- Non-Newtonian fluid
- Stochastic partial differential equation
- Third grade fluid
- Turbulent flow