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Secondary steady-state and time-periodic flows from a basic flow with square array of odd number of vortices
In a magnetohydrodynamic (MHD) driven fluid cell, a plane non-parallel flow in a square domain satisfying a free-slip boundary condition is examined....
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Rotation Problem for a Two-Phase Drop
The paper deals with the stability of a uniformly rotating finite mass consisting of two immiscible viscous incompressible fluids with unknown...
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Couple stress nanofluid flow through a bifurcated artery — Application of catheterization process
In this article, we are exploring the hemodynamics of nanofluid, flowing through a bifurcated artery with atherosclerosis in the presence of a...
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Rate of the Enhanced Dissipation for the Two-jet Kolmogorov Type Flow on the Unit Sphere
The paper deals with the analysis of a model of a multi-component fluid admitting chemical reactions. The flow is considered in the incompressible...
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Robust Stackelberg controllability for the Navier–Stokes equations
In this paper we deal with a robust Stackelberg strategy for the Navier–Stokes system. The scheme is based in considering a robust control problem...
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On a free boundary problem for polymeric fluids: global existence of weak solutions
We investigate the stability and global existence of weak solutions to a free boundary problem governing the evolution of polymeric fluids. We...
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There’s Plenty of Fractional at the Bottom, I: Brownian Motors and Swimming Microrobots
The only purpose of this paper is to show how fractional calculus can contribute to the development of the very interesting and promising field of...
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Numerical study on evolution of subharmonic varicose low-speed streaks in turbulent channel flow
The evolution of two spanwise-aligned low-speed streaks in a wall turbulent flow, triggered by the instability of the subharmonic varicose (SV) mode,...
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Vanishing dielectric constant regime for the Navier Stokes Maxwell equations
In this paper we rigorously justify the convergence of smooth solutions of the Navier-Stokes-Maxwell equations towards smooth solutions of the...
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Time regularity of the densities for the Navier–Stokes equations with noise
We prove that the density of the law of any finite-dimensional projection of solutions of the Navier–Stokes equations with noise in dimension three...
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Instationary Stokes problem with pressure boundary condition in \({L^{p}}\)-spaces
In this paper, we prove the analyticity of the semi-group generated by the Stokes operator with a boundary condition involving the pressure. This...
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Strong well-posedness for a class of dynamic outflow boundary conditions for incompressible Newtonian flows
Based on energy considerations, we derive a class of dynamic outflow boundary conditions for the incompressible Navier–Stokes equations, containing...
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On the Stokes semigroup in some non-Helmholtz domains
This paper shows that the L p -Helmholtz decomposition is not necessary to establish the analyticity of the Stokes semigroup in C 0, σ , the L ...
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Stochastic Lagrangian Flows and the Navier–Stokes Equations
We describe how some diffusion processes are obtained as critical points of variational principles, focusing on the case where the stochastic...
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A Stochastic View over the Open Problem of Well-posedness for the 3D Navier–Stokes Equations
This series of lectures discusses the open problem of well-posedness of 3D Navier–Stokes equations from the viewpoint of stochastic analysis, namely...
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Numerical simulation on evolution of subharmonic low-speed streaks in minimal channel turbulent flow
The evolution of low-speed streaks in the turbulent boundary layer of the minimum channel flow unit at a low Reynolds number is simulated by the...
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Time periodic solutions to the Navier–Stokes equations in the rotational framework
We consider the Navier–Stokes equations in the rotational framework with the time periodic external force. We give sufficient conditions on the size...