Foias statistical solution for stochastic Navier-Stokes equation

Nonlinear Analysis, Theory, Methods and Applications

Volumn 27, Issue 1, 1996, Pages 97-114

  Karczewska, Anna ^a  

^a MARIA CURIE SK ODOWSKA UNIVERSITY   (Poland)

Author keywords

Foias equation; Statistical solution; Stochastic Navier Stokes equation

Indexed keywords

BOUNDARY CONDITIONS; CONVERGENCE OF NUMERICAL METHODS; INTEGRAL EQUATIONS; PROBABILITY; RANDOM PROCESSES; STATISTICAL METHODS; THEOREM PROVING;

FOIAS EQUATION; STOCHASTIC NAVIER STOKES EQUATION;

NAVIER STOKES EQUATIONS;

EID: 0030197997     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/0362-546X(94)00035-G     Document Type: Article

References (11)

1. FOIAS C., Statistical study of Navier-Stokes equation I, Rend. Sem. Mat. Univ. Padova 48, 219-348 (1972).
2. VISHIK M. & FURSIKOV A., Mathematical problems of statistical hydrodynamics (in Russian). Nauka, Moscow (1980).
3. CAPINSKI M. & CUTLAND N., A simple proof of existence of weak and statistical solutions of Navier-Stokes equation, Proc. R. Soc. London A, 436, 1-11 (1992).
4. CAPINSKI M. & CUTLAND N., Statistical solutions of Navier-Stokes equations by nonstandard densities, Math. Meth. Appl. Sci. 1, 447-460 (1991).
5. VISHIK M. & KOMECH A., On the solvability of the Cauchy problem for the forward Kolmogorov equation corresponding to a stochastic equation of the Navier-Stokes type - in Complex analysis and its applications (in Russian). Nauka, Moscow (1978).
6. VISHIK M. & KOMECH A., On the Cauchy problem for infinite dimensional parabolic differential equations of second row (in Russian). Trudy sem. Pietrovskovo No. 4, Moscow, 3-31 (1978).
7. DaPRATO G. & ZABCZYK J., Stochastic equations in infinite dimensions. Cambridge University Press, Cambridge (1992).
8. CAPINSKI M. & CUTLAND N., Foias and Hopf statistical solutions for stochastic Navier-Stokes equations, Mathematics Research Reports Vol. V, No. 1. University of Hull (1992).
9. KUO H., Gaussian Measures in Banach Spaces. Springer Verlag, New York (1975).
10. GELFAND I. & VILENKIN N., Some problems of harmonic analysis (in Russian). Fizmatgiz, Moscow (1961).
11. BILLINGSLEY P., Convergence of probability measures. John Wiley, New York (1968).