Abstract. We consider the Navier-Stokes equations on a thin domain of the form Ωε = {x ∈ R3; x1, x2 ∈ (0, 1), 0 < x3 < εg(x1, x2)} supplemented with the following mixed boundary conditions: periodic boundary conditions on the lateral boundary and Navier boundary conditions on the top and the bottom. Under the assumption that ‖u0‖H1(Ωε) ≤ Cε− 1 2, ‖Mui0‖L2(Ωε) ≤ C for i ∈ {1, 2} and similar assumptions on the forcing term, we show global existence of strong solutions; here ui0 denotes the i-th com-ponent of the initial data u0 and M is the average in the vertical direction, that is, Mui0(x1, x2) = 1 ε g ∫ ε g 0 ui0(x1, x2, x3) dx3. Moreover, if the initial data, respectively the forcing term, converge to a bidimensional vector field,...
We treat three problems on a two-dimensional “punctured periodic domain”: we take Ωr=(−L,L)2∖rK, whe...
AbstractWe address the global regularity of solutions of the Navier–Stokes equations in a thin domai...
Bu tezde, akışkanlar dinamiğinin temel denklemlerinden olan Navier-Stokes denklemleri ile ısı denkle...
AbstractWe consider the Navier–Stokes equations on thin 3D domains Qε=Ω×(0, ε), supplemented mainly ...
AbstractWe study a system of 3D Navier–Stokes equations in a two-layer parallelepiped-like domain wi...
This paper gives another version of results due to Raugel and Sell, and similar results due to Moise...
AbstractIn this article we study the 3D Navier–Stokes equations with Navier friction boundary condit...
Abstract. We consider solutions to the Navier–Stokes equations with Navier boundary con-ditions in a...
AbstractThis paper is concerned with the spatially periodic Navier–Stokes equations in a thin three-...
Mathematical analysis has been undertaken for the vorticity formulation of the two dimensional Navie...
Abstract. In this paper, we study the Lagrangian averaged Navier-Stokes (LANS-α) equations on bounde...
AbstractThe asymptotic behavior of solutions of the three-dimensional Navier–Stokes equations is con...
International audienceDifferent boundary conditions for the Navier-Stokes equations in bounded Lipsc...
Abstract. We present here different boundary conditions for the Navier-Stokes equations in bounded L...
AbstractLet u=u(x,t,u0) represent the global strong/weak solutions of the Cauchy problems for the ge...
We treat three problems on a two-dimensional “punctured periodic domain”: we take Ωr=(−L,L)2∖rK, whe...
AbstractWe address the global regularity of solutions of the Navier–Stokes equations in a thin domai...
Bu tezde, akışkanlar dinamiğinin temel denklemlerinden olan Navier-Stokes denklemleri ile ısı denkle...
AbstractWe consider the Navier–Stokes equations on thin 3D domains Qε=Ω×(0, ε), supplemented mainly ...
AbstractWe study a system of 3D Navier–Stokes equations in a two-layer parallelepiped-like domain wi...
This paper gives another version of results due to Raugel and Sell, and similar results due to Moise...
AbstractIn this article we study the 3D Navier–Stokes equations with Navier friction boundary condit...
Abstract. We consider solutions to the Navier–Stokes equations with Navier boundary con-ditions in a...
AbstractThis paper is concerned with the spatially periodic Navier–Stokes equations in a thin three-...
Mathematical analysis has been undertaken for the vorticity formulation of the two dimensional Navie...
Abstract. In this paper, we study the Lagrangian averaged Navier-Stokes (LANS-α) equations on bounde...
AbstractThe asymptotic behavior of solutions of the three-dimensional Navier–Stokes equations is con...
International audienceDifferent boundary conditions for the Navier-Stokes equations in bounded Lipsc...
Abstract. We present here different boundary conditions for the Navier-Stokes equations in bounded L...
AbstractLet u=u(x,t,u0) represent the global strong/weak solutions of the Cauchy problems for the ge...
We treat three problems on a two-dimensional “punctured periodic domain”: we take Ωr=(−L,L)2∖rK, whe...
AbstractWe address the global regularity of solutions of the Navier–Stokes equations in a thin domai...
Bu tezde, akışkanlar dinamiğinin temel denklemlerinden olan Navier-Stokes denklemleri ile ısı denkle...