caa a22 4500 445842334 CHVBK 20180317145348.0 cr unu---uuuuu 170323e20110601xx s 000 0 eng 10.1007/s00245-010-9126-5 doi (NATIONALLICENCE)springer-10.1007/s00245-010-9126-5 Pathwise Solutions of the 2-D Stochastic Primitive Equations [Elektronische Daten] [Nathan Glatt-Holtz, Roger Temam] In this work we consider a stochastic version of the Primitive Equations (PEs) of the ocean and the atmosphere and establish the existence and uniqueness of pathwise, strong solutions. The analysis employs novel techniques in contrast to previous works (Ewald et al. in Anal. Appl. (Singap.) 5(2):183-198, 2007; Glatt-Holtz and Ziane in Discrete Contin. Dyn. Syst. Ser. B 10(4):801-822, 2008) in order to handle a general class of nonlinear noise structures and to allow for physically relevant boundary conditions. The proof relies on Cauchy estimates, stopping time arguments and anisotropic estimates. Springer Science+Business Media, LLC, 2010 Primitive equations nationallicence Nonlinear SPDEs nationallicence Mathematical geophysics nationallicence Multiplicative noise nationallicence Pathwise solutions nationallicence Strong solutions nationallicence Stopping time arguments nationallicence Cauchy estimates nationallicence Anisotropic estimates nationallicence Glatt-Holtz Nathan Department of Mathematics and The Institute for Scientific Computing and Applied Mathematics, Indiana University, Bloomington, USA aut Temam Roger Department of Mathematics and The Institute for Scientific Computing and Applied Mathematics, Indiana University, Bloomington, USA aut Applied Mathematics & Optimization Springer-Verlag 63/3(2011-06-01), 401-433 0095-4616 63:3<401 2011 63 245 https://doi.org/10.1007/s00245-010-9126-5 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00245-010-9126-5 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Glatt-Holtz Nathan Department of Mathematics and The Institute for Scientific Computing and Applied Mathematics, Indiana University, Bloomington, USA aut NATIONALLICENCE 700 1- Temam Roger Department of Mathematics and The Institute for Scientific Computing and Applied Mathematics, Indiana University, Bloomington, USA aut NATIONALLICENCE 773 0- Applied Mathematics & Optimization Springer-Verlag 63/3(2011-06-01), 401-433 0095-4616 63:3<401 2011 63 245 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer