Generalized solutions of the Cauchy problem for the Navier-Stokes system and diffusion processes
-
S. Albeverio
albeverio@uni-bonn.de
-
Ya. Belopolskaya
yana@yb1569.spb.edu
Downloads
DOI:
https://doi.org/10.4067/S0719-06462010000200006Abstract
We reduce the construction of a weak solution of the Cauchy problem for the Navier-Stokes system to the construction of a stochastic problem solution. Under suitable conditions we solve the stochastic problem and prove that simultaneously we obtain a weak (generalized) solution to the Cauchy problem for the Navier-Stokes system.
Keywords
Similar Articles
- Ioannis K. Argyros, Saïd Hilout, On the solution of generalized equations and variational inequalities , CUBO, A Mathematical Journal: Vol. 13 No. 1 (2011): CUBO, A Mathematical Journal
- Abdelhamid Bensalem, Abdelkrim Salim, Bashir Ahmad, Mouffak Benchohra, Existence and controllability of integrodifferential equations with non-instantaneous impulses in Fréchet spaces , CUBO, A Mathematical Journal: Vol. 25 No. 2 (2023)
- Bruno Costa, Spectral Methods for Partial Differential Equations , CUBO, A Mathematical Journal: Vol. 6 No. 4 (2004): CUBO, A Mathematical Journal
- Abdelhai Elazzouzi, Khalil Ezzinbi, Mohammed Kriche, On the periodic solutions for some retarded partial differential equations by the use of semi-Fredholm operators , CUBO, A Mathematical Journal: Vol. 23 No. 3 (2021)
- E. A. Grove, G. Ladas, Periodicity in Nonlinear Difference Equations , CUBO, A Mathematical Journal: Vol. 4 No. 1 (2002): CUBO, Matemática Educacional
- Juliana Conceição Precioso, A Family of Stationary Solutions to the Euler Equations and Generalized Solutions , CUBO, A Mathematical Journal: Vol. 12 No. 3 (2010): CUBO, A Mathematical Journal
- Fujisaki Masatoshi, Nonlinear semigroup associated with maximizing operator and large deviation , CUBO, A Mathematical Journal: Vol. 8 No. 1 (2006): CUBO, A Mathematical Journal
- Vjacheslav A. Yurko, Recovering Higher-order Differential Operators on Star-type Graphs from Spectra , CUBO, A Mathematical Journal: Vol. 10 No. 1 (2008): CUBO, A Mathematical Journal
- Ravi P. Agarwal, Triple solutions of constant sign for a system of fredholm integral equations , CUBO, A Mathematical Journal: Vol. 6 No. 3 (2004): CUBO, A Mathematical Journal
- Bouzid Mansouri, Abdelouaheb Ardjouni, Ahcene Djoudi, Periodicity and stability in neutral nonlinear differential equations by Krasnoselskii‘s fixed point theorem , CUBO, A Mathematical Journal: Vol. 19 No. 3 (2017): CUBO, A Mathematical Journal
<< < 1 2 3 4 5 6 7 8 9 10 11 12 > >>
You may also start an advanced similarity search for this article.
Downloads
Download data is not yet available.
Published
2010-06-01
How to Cite
[1]
S. Albeverio and Y. Belopolskaya, “Generalized solutions of the Cauchy problem for the Navier-Stokes system and diffusion processes”, CUBO, vol. 12, no. 2, pp. 77–96, Jun. 2010.
Issue
Section
Articles
