Existence and uniqueness for stochastic 2D Euler flows with bounded vorticity

TY - JOUR

T1 - Existence and uniqueness for stochastic 2D Euler flows with bounded vorticity

AU - Brzezniak, Zdzislaw

AU - Flandoli, Franco

AU - Maurelli, Mario

N1 - © Springer-Verlag. This is an author-produced version of a paper accepted for publication. Uploaded with permission of the publisher/copyright holder. Further copying may not be permitted; contact the publisher for details

PY - 2016/7/1

Y1 - 2016/7/1

N2 - The strong existence and the pathwise uniqueness of solutions with (Formula presented.) -vorticity of the 2D stochastic Euler equations are proved. The noise is multiplicative and it involves the first derivatives. A Lagrangian approach is implemented, where a stochastic flow solving a nonlinear flow equation is constructed. The stability under regularizations is also proved.

AB - The strong existence and the pathwise uniqueness of solutions with (Formula presented.) -vorticity of the 2D stochastic Euler equations are proved. The noise is multiplicative and it involves the first derivatives. A Lagrangian approach is implemented, where a stochastic flow solving a nonlinear flow equation is constructed. The stability under regularizations is also proved.

UR - http://www.scopus.com/inward/record.url?scp=84954471358&partnerID=8YFLogxK

U2 - 10.1007/s00205-015-0957-8

DO - 10.1007/s00205-015-0957-8

M3 - Article

SN - 0003-9527

VL - 221

SP - 107

EP - 142

JO - Archive for Rational Mechanics and Analysis

JF - Archive for Rational Mechanics and Analysis

IS - 1

ER -