AbstractWe first show the analyticity of Stokes operator in a weighted space Lpγ(R+3). We also show that the Hodge decomposition holds on Lpγ(R+3). Then, we estimate the asymptotic behavior of the Stokes solutions in space and time directions. For 1<r⩽q<∞, if t is large enough, then ∫R3+|u(x,t)|qω(x)γqdx1/q⩽Ct(3/2)(1/r−1/q)+1/2−γ/2, where γ is a constant with 0⩽γ<3/r′ if ω(x)=1+|x|, and 0⩽γ<1/r′ if ω(x)=1+xn
We consider the asymptotic behaviour of the second discrete Painlevé equation in the limit as the in...
This is the first in a series of four papers entitled 'The Stokes structure in asymptotic analysis'....
Abstract. If Ω ⊂ Rn is a bounded domain, the existence of solutions u ∈ H10 (Ω)n of divu = f for f ∈...
AbstractUsing the Stokes solution formula and Lq–Lr estimates of the Stokes operator semigroup, we e...
AbstractUsing the solution formula in Ukai (1987) [27] for the Stokes equations, we find asymptotic ...
Recently, by Z. Shen, resolvent estimates for the Stokes operator were established in Lp(Ω) when Ω i...
It is well-known that the Helmholtz decomposition of Lq-spaces fails to exist for certain unbounded ...
Abstract:- We formulate sufficient conditions for partial uniform boundedness of the analytic semigr...
We prove space–time decay estimates of suitable weak solutions to the Navier– Stokes Cauchy problem,...
AbstractWe study the behavior of solutions to the stationary Stokes equations near singular points. ...
We study a Stokes problem in a three dimensional fractal domain of Koch type and in the correspondi...
1.1 Analyticity of the Stokes semigroup We consider the initial-boundary problem for the Stokes equa...
As an introduction we present a new, elementary and constructive proof of the multisummability prope...
Dedicated to Louis Nirenberg on the occasion of his 85th birthday Abstract. A beautiful and influent...
In this thesis, we propose an ε-Stokes problem connecting the Stokes problem and the corresponding p...
We consider the asymptotic behaviour of the second discrete Painlevé equation in the limit as the in...
This is the first in a series of four papers entitled 'The Stokes structure in asymptotic analysis'....
Abstract. If Ω ⊂ Rn is a bounded domain, the existence of solutions u ∈ H10 (Ω)n of divu = f for f ∈...
AbstractUsing the Stokes solution formula and Lq–Lr estimates of the Stokes operator semigroup, we e...
AbstractUsing the solution formula in Ukai (1987) [27] for the Stokes equations, we find asymptotic ...
Recently, by Z. Shen, resolvent estimates for the Stokes operator were established in Lp(Ω) when Ω i...
It is well-known that the Helmholtz decomposition of Lq-spaces fails to exist for certain unbounded ...
Abstract:- We formulate sufficient conditions for partial uniform boundedness of the analytic semigr...
We prove space–time decay estimates of suitable weak solutions to the Navier– Stokes Cauchy problem,...
AbstractWe study the behavior of solutions to the stationary Stokes equations near singular points. ...
We study a Stokes problem in a three dimensional fractal domain of Koch type and in the correspondi...
1.1 Analyticity of the Stokes semigroup We consider the initial-boundary problem for the Stokes equa...
As an introduction we present a new, elementary and constructive proof of the multisummability prope...
Dedicated to Louis Nirenberg on the occasion of his 85th birthday Abstract. A beautiful and influent...
In this thesis, we propose an ε-Stokes problem connecting the Stokes problem and the corresponding p...
We consider the asymptotic behaviour of the second discrete Painlevé equation in the limit as the in...
This is the first in a series of four papers entitled 'The Stokes structure in asymptotic analysis'....
Abstract. If Ω ⊂ Rn is a bounded domain, the existence of solutions u ∈ H10 (Ω)n of divu = f for f ∈...
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