Add to ORKGIt is proved under mild regularity assumptions on the data that the Navier-Stokes equations in bounded and unbounded noncylindrical regions admit a unique local-in-time strong solution. The result is based on maximal regularity estimates for the in spatial regions with a moving boundary obtained in [16] and the contraction mapping principle
The present paper contains some microlocal regularity theorems for the solutions of the stationary a...
In 2001, Koch and Tataru proved the existence of global in time solutions to the incom-pressible Nav...
The main assumption of the so-called ε-regularity theory of suitable weak solutions to the Navier-St...
Any weak solution u of the Navier-Stokes equations in a bounded domain satisfying the Prodi-Serrin's...
We prove $L^p-L^q$ maximal regularity estimates for the Stokes equations in spatial regions with mov...
It is proved the existence of a unique, global strong solution to the two-dimensional Navier-Stokes ...
Abstract. In this paper, we study a °uid{rigid-body interaction prob-lem. The motion of the °uid is ...
We study the Stokes system with the localized boundary data in the half-space. We are concerned with...
We present results on local and boundary regularity for weak solutions to the Navier-Stokes equation...
A class of conditions sufficient for local regularity of suitable weak solutions of the non-stationa...
Abstract. Let u be a weak solution of the Navier-Stokes equations in an exterior domain Ω ⊂ R3 and a...
Fundamental questions in the theory of partial differential equations are that of existence and uniq...
The three-dimensional Navier-Stokes system in the whole space with time-periodic data is investigate...
The present paper contains some microlocal regularity theorems for the solutions of the stationary a...
The three-dimensional Navier-Stokes system in the whole space with time-periodic data is investigate...
The present paper contains some microlocal regularity theorems for the solutions of the stationary a...
In 2001, Koch and Tataru proved the existence of global in time solutions to the incom-pressible Nav...
The main assumption of the so-called ε-regularity theory of suitable weak solutions to the Navier-St...
Any weak solution u of the Navier-Stokes equations in a bounded domain satisfying the Prodi-Serrin's...
We prove $L^p-L^q$ maximal regularity estimates for the Stokes equations in spatial regions with mov...
It is proved the existence of a unique, global strong solution to the two-dimensional Navier-Stokes ...
Abstract. In this paper, we study a °uid{rigid-body interaction prob-lem. The motion of the °uid is ...
We study the Stokes system with the localized boundary data in the half-space. We are concerned with...
We present results on local and boundary regularity for weak solutions to the Navier-Stokes equation...
A class of conditions sufficient for local regularity of suitable weak solutions of the non-stationa...
Abstract. Let u be a weak solution of the Navier-Stokes equations in an exterior domain Ω ⊂ R3 and a...
Fundamental questions in the theory of partial differential equations are that of existence and uniq...
The three-dimensional Navier-Stokes system in the whole space with time-periodic data is investigate...
The present paper contains some microlocal regularity theorems for the solutions of the stationary a...
The three-dimensional Navier-Stokes system in the whole space with time-periodic data is investigate...
The present paper contains some microlocal regularity theorems for the solutions of the stationary a...
In 2001, Koch and Tataru proved the existence of global in time solutions to the incom-pressible Nav...
The main assumption of the so-called ε-regularity theory of suitable weak solutions to the Navier-St...