Global well‐posedness for the stochastic non‐Newtonian fluid equations and convergence to the Navier‐Stokes equations
Sign Up to like & getrecommendations! Published in 2020 at "Mathematical Methods in The Applied Sciences"
DOI: 10.1002/mma.6827
Abstract: I will deliver my talk in two sessions. The first part contains motivation and preliminaries about stochastic partial differential equations. The existence of global pathwise solutions for the stochastic non-Newtonian incompressible fluid equations in space… read more here.
Keywords: fluid equations; stochastic non; stokes equations; non newtonian ... See more keywords
The Boundary Effects and Zero Angular and Micro-rotational Viscosities Limits of the Micropolar Fluid Equations
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DOI: 10.1007/s10440-016-0071-4
Abstract: In this paper, we consider an initial-value problem to the two-dimensional incompressible micropolar fluid equations. Our main purpose is to study the boundary layer effects as the angular and micro-rotational viscosities go to zero. It… read more here.
Keywords: fluid equations; micro rotational; micropolar fluid; angular micro ... See more keywords
Decay of solutions to a class of incompressible third grade fluid equations
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DOI: 10.1016/j.jmaa.2019.123678
Abstract: Abstract In this paper, we study the long time behavior of solutions to a class of the third grade fluid equations in R 3 . We first show that the solutions decay to zero if… read more here.
Keywords: grade fluid; solutions class; fluid equations; third grade ... See more keywords
Nonlinear Stability of the Monotone Traveling Wave for the Isothermal Fluid Equations with Viscous and Capillary Terms
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DOI: 10.3390/math11071734
Abstract: We prove the existence of the monotone traveling wave for the isothermal fluid equations with viscous and capillary terms by the planar dynamical system method. We obtain that the monotone traveling wave is asymptotically stable… read more here.
Keywords: isothermal fluid; wave isothermal; fluid equations; monotone traveling ... See more keywords
Spatial Decay Bounds for the Brinkman Fluid Equations in Double-Diffusive Convection
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DOI: 10.3390/sym14010098
Abstract: In this paper, we consider the Brinkman equations pipe flow, which includes the salinity and the temperature. Assuming that the fluid satisfies nonlinear boundary conditions at the finite end of the cylinder, using the symmetry… read more here.
Keywords: decay bounds; bounds brinkman; decay; fluid equations ... See more keywords