In this article, we obtain the uniqueness of solutions ( u, p) of the N avier-Stokes equations in the class u E L∞((0, T)×Rn), p E L1loc([0,T);BMO(Rn)) for initial data in L∞ (Rn). Although there are a few results which treats the uniqueness without decay assumption as |x| →∞([5], [15], [14]), our result gives the another characterization of condition on p
Abstract. In this paper, we give a new regularity criterion on the uniqueness results of weak soluti...
We give a simple proof of the uniqueness of fluid particle trajectories corresponding to (1) the sol...
Includes bibliographical references (page 124)We prove existence and uniqueness of a smooth solution...
Abstract. We formulate some conditions when non-uniqueness of approx-imate solutions of the stationa...
Abstract. In this note we give a uniqueness theorem for solutions (u, pi) to the Navier-Stokes Cauch...
AbstractSome new results on the nonstationary Navier-Stokes equations are presented. Our results con...
summary:Consider the Navier-Stokes equation with the initial data $a\in L_{\sigma }^2( \Bbb R^d) $. ...
Abstract. In this note we give a uniqueness theorem for solutions $(u;\pi)$ to the Navier- Stokes C...
summary:For a bounded domain $\Omega \subset \Bbb R ^n$, $n\geq 3,$ we use the notion of very weak s...
Nous démontrons l’unicité des solutions faibles de Navier-Stokes dans C([(0, T);LN(Ω)) où Ω est l’es...
AbstractIn this note we present a new theorem on the uniqueness of unbounded classical solutions to ...
In this article, we study the uniqueness of very weak solutions to the Navier-Stokes Cauchy problem ...
summary:Consider the Navier-Stokes equation with the initial data $a\in L_{\sigma }^2( \Bbb R^d) $. ...
summary:Consider the Navier-Stokes equation with the initial data $a\in L_{\sigma }^2( \Bbb R^d) $. ...
Résumé : Cette thèse est consacrée à l'étude des équations de Stokes et de Navier-Stokes avec des co...
Abstract. In this paper, we give a new regularity criterion on the uniqueness results of weak soluti...
We give a simple proof of the uniqueness of fluid particle trajectories corresponding to (1) the sol...
Includes bibliographical references (page 124)We prove existence and uniqueness of a smooth solution...
Abstract. We formulate some conditions when non-uniqueness of approx-imate solutions of the stationa...
Abstract. In this note we give a uniqueness theorem for solutions (u, pi) to the Navier-Stokes Cauch...
AbstractSome new results on the nonstationary Navier-Stokes equations are presented. Our results con...
summary:Consider the Navier-Stokes equation with the initial data $a\in L_{\sigma }^2( \Bbb R^d) $. ...
Abstract. In this note we give a uniqueness theorem for solutions $(u;\pi)$ to the Navier- Stokes C...
summary:For a bounded domain $\Omega \subset \Bbb R ^n$, $n\geq 3,$ we use the notion of very weak s...
Nous démontrons l’unicité des solutions faibles de Navier-Stokes dans C([(0, T);LN(Ω)) où Ω est l’es...
AbstractIn this note we present a new theorem on the uniqueness of unbounded classical solutions to ...
In this article, we study the uniqueness of very weak solutions to the Navier-Stokes Cauchy problem ...
summary:Consider the Navier-Stokes equation with the initial data $a\in L_{\sigma }^2( \Bbb R^d) $. ...
summary:Consider the Navier-Stokes equation with the initial data $a\in L_{\sigma }^2( \Bbb R^d) $. ...
Résumé : Cette thèse est consacrée à l'étude des équations de Stokes et de Navier-Stokes avec des co...
Abstract. In this paper, we give a new regularity criterion on the uniqueness results of weak soluti...
We give a simple proof of the uniqueness of fluid particle trajectories corresponding to (1) the sol...
Includes bibliographical references (page 124)We prove existence and uniqueness of a smooth solution...
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