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
- Svetlin G. Georgiev, Khaled Zennir, New approach to prove the existence of classical solutions for a class of nonlinear parabolic equations , CUBO, A Mathematical Journal: Vol. 20 No. 2 (2018)
- Junwei Liu, Chuanyi Zhang, Existence and stability of almost periodic solutions to impulsive stochastic differential equations , CUBO, A Mathematical Journal: Vol. 15 No. 1 (2013): CUBO, A Mathematical Journal
- Alexander A. Kovalevsky, Francesco Nicolosi, On a condition for the nonexistence of \(W\)-solutions of nonlinear high-order equations with L\(^1\) -data , CUBO, A Mathematical Journal: Vol. 14 No. 2 (2012): CUBO, A Mathematical Journal
- Bashir Ahmad, Amjad F. Albideewi, Sotiris K. Ntouyas, Ahmed Alsaedi, Existence results for a multipoint boundary value problem of nonlinear sequential Hadamard fractional differential equations , CUBO, A Mathematical Journal: Vol. 23 No. 2 (2021)
- Ziqi Sun, Conjectures in Inverse Boundary Value Problems for Quasilinear Elliptic Equations , CUBO, A Mathematical Journal: Vol. 7 No. 3 (2005): CUBO, A Mathematical Journal
- S. H. Mousavizadegan, Matiur Rahman, Nonlinear Instability of Dispersive Waves , CUBO, A Mathematical Journal: Vol. 7 No. 1 (2005): CUBO, A Mathematical Journal
- Bo Zhang, Boundedness and Global Attractivity of Solutions for a System of Nonlinear Integral Equations , CUBO, A Mathematical Journal: Vol. 11 No. 3 (2009): CUBO, A Mathematical Journal
- I. M. Proudnikov, Stochastic model of money flow in economics , CUBO, A Mathematical Journal: Vol. 9 No. 3 (2007): CUBO, A Mathematical Journal
- V. V. Palin, E. V. Radkevich, The Maxwell problem and the Chapman projection , CUBO, A Mathematical Journal: Vol. 12 No. 2 (2010): CUBO, A Mathematical Journal
- Binayak S. Choudhury, Nikhilesh Metiya, Sunirmal Kundu, Existence, well-posedness of coupled fixed points and application to nonlinear integral equations , CUBO, A Mathematical Journal: Vol. 23 No. 1 (2021)
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
