LOCAL AND GLOBAL EXISTENCE OF SMOOTH SOLUTIONS FOR THE STOCHASTIC EULER EQUATIONS WITH MULTIPLICATIV...
LOCAL AND GLOBAL EXISTENCE OF SMOOTH SOLUTIONS FOR THE STOCHASTIC EULER EQUATIONS WITH MULTIPLICATIVE NOISE
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Hayward: Institute of Mathematical Statistics
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Language
English
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Hayward: Institute of Mathematical Statistics
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Contents
We establish the local existence of pathwise solutions for the stochastic Euler equations in a three-dimensional bounded domain with slip boundary conditions and a suitable nonlinear multiplicative noise. In the two-dimensional case we obtain the global existence of these solutions with additive or linear-multiplicative noise. Finally, we show that...
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Full title
LOCAL AND GLOBAL EXISTENCE OF SMOOTH SOLUTIONS FOR THE STOCHASTIC EULER EQUATIONS WITH MULTIPLICATIVE NOISE
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TN_cdi_projecteuclid_primary_oai_CULeuclid_euclid_aop_1389278521
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https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_projecteuclid_primary_oai_CULeuclid_euclid_aop_1389278521
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ISSN
0091-1798
E-ISSN
2168-894X
DOI
10.1214/12-AOP773
