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
- Binayak Choudhury, Subhajit Kundu, Approximating a solution of an equilibrium problem by Viscosity iteration involving a nonexpansive semigroup , CUBO, A Mathematical Journal: Vol. 15 No. 3 (2013): CUBO, A Mathematical Journal
- Masaru Ikehata, Inverse Crack Problem and Probe Method , CUBO, A Mathematical Journal: Vol. 8 No. 1 (2006): CUBO, A Mathematical Journal
- Wolfgang Spr¨ossig, Quaternionic analysis and Maxwell‘s equations , CUBO, A Mathematical Journal: Vol. 7 No. 2 (2005): CUBO, A Mathematical Journal
- Mohamed Bouaouid, Ahmed Kajouni, Khalid Hilal, Said Melliani, A class of nonlocal impulsive differential equations with conformable fractional derivative , CUBO, A Mathematical Journal: Vol. 24 No. 3 (2022)
- Liancheng Wang, Bo Yang, New upper estimate for positive solutions to a second order boundary value problem with a parameter , CUBO, A Mathematical Journal: Vol. 25 No. 1 (2023)
- M.I. Belishev, Dynamical Inverse Problem for the Equation ð’°áµ¼áµ¼ − Δ𒰠− ∇ln𜌠· ∇𒰠= 0 (the BC Method) , CUBO, A Mathematical Journal: Vol. 10 No. 2 (2008): CUBO, A Mathematical Journal
- Claus Bauer, A new solution algorithm for skip-free processes to the left , CUBO, A Mathematical Journal: Vol. 12 No. 2 (2010): CUBO, A Mathematical Journal
- Jito Vanualailai, Bibhya Sharma, Moving a Robot Arm: An interesting application of the Direct method of Lyapunov , CUBO, A Mathematical Journal: Vol. 6 No. 3 (2004): CUBO, A Mathematical Journal
- Carlos Cesar Aranda, Spacetime singularity, singular bounds and compactness for solutions of the Poisson‘s equation , CUBO, A Mathematical Journal: Vol. 17 No. 2 (2015): CUBO, A Mathematical Journal
- Abdeldjalil Aouane, Smaïl Djebali, Mohamed Aziz Taoudi, Mild solutions of a class of semilinear fractional integro-differential equations subjected to noncompact nonlocal initial conditions , CUBO, A Mathematical Journal: Vol. 22 No. 3 (2020)
<< < 3 4 5 6 7 8 9 10 11 12 13 14 > >>
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
