Add to ORKGAbstract. We study the Stokes operator A in a three-dimensional Lipschitz domain Ω. Our main result asserts that the domain of A is contained inW 1,p0 (Ω)∩W 3/2,2(Ω) for some p> 3. Certain L∞-estimates are also established. Our results may be used to improve the regularity of strong solutions of Navier-Stokes equations in nonsmooth domains. In the ap-pendix we provide a simple proof of area integral estimates for solutions of Stokes equations. Introduction. In a recent interesting paper, Deuring and von Wahl [DW] consider strong solutions of the nonstationary Navier-Stokes equations in Ω
The entire dissertation/thesis text is included in the research.pdf file; the official abstract appe...
Abstract. We consider the Navier-Stokes system on R2. It is well-known that solutions with L2 data b...
Abstract. If Ω ⊂ Rn is a bounded domain, the existence of solutions u ∈ H10 (Ω)n of divu = f for f ∈...
: We study the Stokes operator A in a three-dimensional Lipschitz domain \Omega\Gamma Our main resul...
We consider the Stokes resolvent problem in a two-dimensional bounded Lipschitz domain $\Omega$ subj...
In this thesis, we investigate the Stokes operator on bounded Lipschitz domains in L^p. We proof imp...
Recently, by Z. Shen, resolvent estimates for the Stokes operator were established in Lp(Ω) when Ω i...
In the first part of the paper, we give a satisfactory definition of the Stokes operator in Lipschit...
AbstractWe study the regularity of the Navier–Stokes equations in arbitrary Lipschitz domains
Abstract. We present here different boundary conditions for the Navier-Stokes equations in bounded L...
Abstract. In the first part of the paper we give a satisfactory definition of the Stokes operator in...
International audienceDifferent boundary conditions for the Navier-Stokes equations in bounded Lipsc...
Dedicated to Louis Nirenberg on the occasion of his 85th birthday Abstract. A beautiful and influent...
If Ω ⊂ n is a bounded domain, the existence of solutions u∈ H10(Ω)n of div u = f for f ∈ L 2(Ω) with...
The Navier-Stokes equations are a system of nonlinear evolution equations modeling the flow of a vis...
The entire dissertation/thesis text is included in the research.pdf file; the official abstract appe...
Abstract. We consider the Navier-Stokes system on R2. It is well-known that solutions with L2 data b...
Abstract. If Ω ⊂ Rn is a bounded domain, the existence of solutions u ∈ H10 (Ω)n of divu = f for f ∈...
: We study the Stokes operator A in a three-dimensional Lipschitz domain \Omega\Gamma Our main resul...
We consider the Stokes resolvent problem in a two-dimensional bounded Lipschitz domain $\Omega$ subj...
In this thesis, we investigate the Stokes operator on bounded Lipschitz domains in L^p. We proof imp...
Recently, by Z. Shen, resolvent estimates for the Stokes operator were established in Lp(Ω) when Ω i...
In the first part of the paper, we give a satisfactory definition of the Stokes operator in Lipschit...
AbstractWe study the regularity of the Navier–Stokes equations in arbitrary Lipschitz domains
Abstract. We present here different boundary conditions for the Navier-Stokes equations in bounded L...
Abstract. In the first part of the paper we give a satisfactory definition of the Stokes operator in...
International audienceDifferent boundary conditions for the Navier-Stokes equations in bounded Lipsc...
Dedicated to Louis Nirenberg on the occasion of his 85th birthday Abstract. A beautiful and influent...
If Ω ⊂ n is a bounded domain, the existence of solutions u∈ H10(Ω)n of div u = f for f ∈ L 2(Ω) with...
The Navier-Stokes equations are a system of nonlinear evolution equations modeling the flow of a vis...
The entire dissertation/thesis text is included in the research.pdf file; the official abstract appe...
Abstract. We consider the Navier-Stokes system on R2. It is well-known that solutions with L2 data b...
Abstract. If Ω ⊂ Rn is a bounded domain, the existence of solutions u ∈ H10 (Ω)n of divu = f for f ∈...