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
- Bapurao C. Dhage, Existence and Attractivity Theorems for Nonlinear Hybrid Fractional Integrodifferential Equations with Anticipation and Retardation , CUBO, A Mathematical Journal: Vol. 22 No. 3 (2020)
- Bourama Toni, Planar Pseudo-almost Limit Cycles and Applications to solitary Waves , CUBO, A Mathematical Journal: Vol. 15 No. 1 (2013): CUBO, A Mathematical Journal
- M.H. Saleh, D.Sh. Mohammed, Numerical solution of singular and non singular integral equations , CUBO, A Mathematical Journal: Vol. 15 No. 2 (2013): CUBO, A Mathematical Journal
- René Erlín Castillo, Babar Sultan, A derivative-type operator and its application to the solvability of a nonlinear three point boundary value problem , CUBO, A Mathematical Journal: Vol. 24 No. 3 (2022)
- Shruti A. Kalloli, José Vanterler da C. Sousa, Kishor D. Kucche, On the \(\Phi\)-Hilfer iterative fractional differential equations , CUBO, A Mathematical Journal: Vol. 27 No. 1 (2025)
- Xavier Antoine, Christophe Besse, Jérémie Szeftel, Towards accurate artificial boundary conditions for nonlinear PDEs through examples , CUBO, A Mathematical Journal: Vol. 11 No. 4 (2009): CUBO, A Mathematical Journal
- Rinko Shinzato, Wataru Takahashi, A Strong Convergence Theorem by a New Hybrid Method for an Equilibrium Problem with Nonlinear Mappings in a Hilbert Space , CUBO, A Mathematical Journal: Vol. 10 No. 4 (2008): CUBO, A Mathematical Journal
- Muhammad N. Islam, Youssef N. Raffoul, Bounded Solutions and Periodic Solutions of Almost Linear Volterra Equations , CUBO, A Mathematical Journal: Vol. 11 No. 3 (2009): CUBO, A Mathematical Journal
- Volodymyr Sushch, Discrete model of Yang-Mills equations in Minkowski space , CUBO, A Mathematical Journal: Vol. 6 No. 2 (2004): CUBO, A Mathematical Journal
- Ajay Kumar, Ekta Tamrakar, Inertial algorithm for solving split inclusion problem in Banach spaces , CUBO, A Mathematical Journal: Vol. 25 No. 1 (2023)
<< < 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
