Local existence and uniqueness of strong solutions to 3-D stochastic Navier-Stokes equations |
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| Authors: | Marek Capiński Szymon Peszat |
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| Institution: | (1) Institute of Mathematics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland,e-mail: capinski@im.uj.edu.pl, PL;(2) Institute of Mathematics, Polish Academy of Sciences, Św. Tomasza 30/7, 31-027 Kraków, Poland, e-mail: peszat@uci.agh.edu.pl, PL |
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| Abstract: | For stochastic Navier-Stokes equations in a 3-dimensional bounded domain we first show that if the initial value is sufficiently
regular, then martingale solutions are strong on a random time interval and we estimate its length. Then we prove the uniqueness
of the strong solution in the class of all martingale solutions.
Received November 15, 1995 |
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