W pracy przedstawione jest istnienie i jednoznaczność słabych rozwiązań dwuwymiarowego równania Naviera-Stokesa. Praca wprowadza istotne twierdzenia o zwartości zanurzeń pewnych przestrzeni funkcyjnych. Zaprezentowana jest metoda Galerkina rozwiązań przybliżonych.This paper shows existence and uniqueness of weak solutions of Navier-Stokes equations in two-dimentional space. The paper introduces important theorems about compactness of injections of some function spaces. The Galerkin's method of approximated solutions is presented
Fundamental questions in the theory of partial differential equations are that of existence and uniq...
We prove uniqueness for the globally modified Navier-Stokes equations recently introduced by Carabal...
Barker recently proved new weak-strong uniqueness results for the Navier-Stokes equations based on a...
Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)We study the Navier-Stokes syste...
Navier-Stokesove jednadžbe opisuju gibanje inkompresibilnog Newtonovog fluida. Unatoč detaljnom prou...
The main aim of this work is to prove theoretical results on partial differential equations from fl...
We study the Navier-Stokes system with initial data belonging to sum of two weak-Lp spaces, which co...
The existence of a weak solution u(x, t) , in the -sense of J. Le'ray ([7]), is established for the ...
Nous démontrons l’unicité des solutions faibles de Navier-Stokes dans C([(0, T);LN(Ω)) où Ω est l’es...
We show the existence of weak solutions of the Navier-Stokes equations with test functions in the we...
We derive an exact formula for solutions to the Stokes equations in the half-space with an external ...
In this work, based on the Law of conservation of mass and the Newton s second Law, we deducted the ...
It is proved that if two components of a suitable weak solution v of the Navier-Stokes equations are...
. In this paper we prove that an operator which projects weak solutions of the two- or three-dimensi...
summary:Consider the Navier-Stokes equation with the initial data $a\in L_{\sigma }^2( \Bbb R^d) $. ...
Fundamental questions in the theory of partial differential equations are that of existence and uniq...
We prove uniqueness for the globally modified Navier-Stokes equations recently introduced by Carabal...
Barker recently proved new weak-strong uniqueness results for the Navier-Stokes equations based on a...
Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)We study the Navier-Stokes syste...
Navier-Stokesove jednadžbe opisuju gibanje inkompresibilnog Newtonovog fluida. Unatoč detaljnom prou...
The main aim of this work is to prove theoretical results on partial differential equations from fl...
We study the Navier-Stokes system with initial data belonging to sum of two weak-Lp spaces, which co...
The existence of a weak solution u(x, t) , in the -sense of J. Le'ray ([7]), is established for the ...
Nous démontrons l’unicité des solutions faibles de Navier-Stokes dans C([(0, T);LN(Ω)) où Ω est l’es...
We show the existence of weak solutions of the Navier-Stokes equations with test functions in the we...
We derive an exact formula for solutions to the Stokes equations in the half-space with an external ...
In this work, based on the Law of conservation of mass and the Newton s second Law, we deducted the ...
It is proved that if two components of a suitable weak solution v of the Navier-Stokes equations are...
. In this paper we prove that an operator which projects weak solutions of the two- or three-dimensi...
summary:Consider the Navier-Stokes equation with the initial data $a\in L_{\sigma }^2( \Bbb R^d) $. ...
Fundamental questions in the theory of partial differential equations are that of existence and uniq...
We prove uniqueness for the globally modified Navier-Stokes equations recently introduced by Carabal...
Barker recently proved new weak-strong uniqueness results for the Navier-Stokes equations based on a...
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