TY - BOOK AU - Cushman-Roisin, B. PY - 1994 DA - 1994// TI - Introduction to Geophysical Fluid Dynamics PB - Prentice Hall CY - Englewood Cliffs, New Jersey ID - Cushman-Roisin1994 ER - TY - BOOK AU - Majda, A. PY - 2003 DA - 2003// TI - Introduction to PDEs and Waves for the Atmosphere and Ocean PB - New York University, Courant Institute of Mathematical Sciences CY - New York ID - Majda2003 ER - TY - BOOK AU - Pedlosky, J. PY - 1987 DA - 1987// TI - Geophysical Fluid Dynamics PB - Springer CY - New York UR - https://doi.org/10.1007/978-1-4612-4650-3 DO - 10.1007/978-1-4612-4650-3 ID - Pedlosky1987 ER - TY - JOUR AU - Babin, A. AU - Mahalov, A. AU - Nicolaenko, B. PY - 1999 DA - 1999// TI - On the regularity of three-dimensional rotating Euler-Boussinesq equations JO - Math. Models Methods Appl. Sci. VL - 9 UR - https://doi.org/10.1142/S021820259900049X DO - 10.1142/S021820259900049X ID - Babin1999 ER - TY - JOUR AU - Fujita, H. AU - Kato, T. PY - 1964 DA - 1964// TI - On the Navier-Stokes initial value problem I JO - Arch. Ration. Mech. Anal. VL - 16 UR - https://doi.org/10.1007/BF00276188 DO - 10.1007/BF00276188 ID - Fujita1964 ER - TY - JOUR AU - Kato, T. PY - 1984 DA - 1984// TI - Strong Lp$L^{p}$-solutions of the Navier-Stokes equation in Rm$\mathbb{R}^{m}$, with applications to weak solutions JO - Math. Z. VL - 187 UR - https://doi.org/10.1007/BF01174182 DO - 10.1007/BF01174182 ID - Kato1984 ER - TY - JOUR AU - Cannone, M. PY - 1997 DA - 1997// TI - A generalization of a theorem by Kato on Navier-Stokes equations JO - Rev. Mat. Iberoam. VL - 13 UR - https://doi.org/10.4171/RMI/229 DO - 10.4171/RMI/229 ID - Cannone1997 ER - TY - JOUR AU - Koch, H. AU - Tataru, D. PY - 2001 DA - 2001// TI - Well-posedness for the Navier-Stokes equations JO - Adv. Math. VL - 157 UR - https://doi.org/10.1006/aima.2000.1937 DO - 10.1006/aima.2000.1937 ID - Koch2001 ER - TY - CHAP AU - Cannone, M. ED - Friedlander, S. ED - Serre, D. PY - 2004 DA - 2004// TI - Harmonic analysis tools for solving the incompressible Navier-Stokes equations BT - Handbook of Mathematical Fluid Dynamics PB - Elsevier CY - Amsterdam ID - Cannone2004 ER - TY - BOOK AU - Lemarié-Rieusset, P. G. PY - 2002 DA - 2002// TI - Recent Developments in the Navier-Stokes Problems PB - Hall/CRC CY - Boca Raton UR - https://doi.org/10.1201/9781420035674 DO - 10.1201/9781420035674 ID - Lemarié-Rieusset2002 ER - TY - CHAP AU - Chemin, J. -. Y. AU - Desjardin, B. AU - Gallagher, I. AU - Grenier, E. PY - 2002 DA - 2002// TI - Anisotropy and dispersion in rotating fluids BT - Nonlinear PDEs and Applications PB - North-Holland CY - Amsterdam ID - Chemin2002 ER - TY - BOOK AU - Chemin, J. -. Y. AU - Desjardins, B. AU - Gallagher, I. AU - Grenier, E. PY - 2006 DA - 2006// TI - Mathematical Geophysics. An Introduction to Rotating Fluids and the Navier-Stokes Equations PB - Clarendon CY - Oxford ID - Chemin2006 ER - TY - JOUR AU - Chen, Q. AU - Miao, C. AU - Zhang, Z. PY - 2013 DA - 2013// TI - Global well-posedness for the 3D rotating Navier-Stokes equations with highly oscillating initial data JO - Pac. J. Math. VL - 262 UR - https://doi.org/10.2140/pjm.2013.262.263 DO - 10.2140/pjm.2013.262.263 ID - Chen2013 ER - TY - JOUR AU - Fang, D. AU - Han, B. AU - Hieber, M. PY - 2015 DA - 2015// TI - Local and global existence results for the Navier-Stokes equations in the rotational framework JO - Commun. Pure Appl. Anal. VL - 14 UR - https://doi.org/10.3934/cpaa.2015.14.609 DO - 10.3934/cpaa.2015.14.609 ID - Fang2015 ER - TY - JOUR AU - Giga, Y. AU - Inui, K. AU - Mahalov, A. AU - Saal, J. PY - 2008 DA - 2008// TI - Uniform global solvability of the rotating Navier-Stokes equations for nondecaying initial data JO - Indiana Univ. Math. J. VL - 57 UR - https://doi.org/10.1512/iumj.2008.57.3795 DO - 10.1512/iumj.2008.57.3795 ID - Giga2008 ER - TY - JOUR AU - Hieber, M. AU - Shibata, Y. PY - 2010 DA - 2010// TI - The Fujita-Kato approach to the Navier-Stokes equations in the rotational framework JO - Math. Z. VL - 265 UR - https://doi.org/10.1007/s00209-009-0525-8 DO - 10.1007/s00209-009-0525-8 ID - Hieber2010 ER - TY - JOUR AU - Iwabuchi, T. AU - Takada, R. PY - 2013 DA - 2013// TI - Global solutions for the Navier-Stokes equations in the rotational framework JO - Math. Ann. VL - 357 UR - https://doi.org/10.1007/s00208-013-0923-4 DO - 10.1007/s00208-013-0923-4 ID - Iwabuchi2013 ER - TY - JOUR AU - Iwabuchi, T. AU - Takada, R. PY - 2014 DA - 2014// TI - Global well-posedness and ill-posedness for the Navier-Stokes equations with the Coriolis force in function spaces of Besov type JO - J. Funct. Anal. VL - 267 UR - https://doi.org/10.1016/j.jfa.2014.05.022 DO - 10.1016/j.jfa.2014.05.022 ID - Iwabuchi2014 ER - TY - JOUR AU - Koh, Y. AU - Lee, S. AU - Takada, R. PY - 2014 DA - 2014// TI - Dispersive estimates for the Navier-Stokes equations in the rotational framework JO - Adv. Differ. Equ. VL - 19 ID - Koh2014 ER - TY - JOUR AU - Konieczny, P. AU - Yoneda, T. PY - 2011 DA - 2011// TI - On dispersive effect of the Coriolis force for the stationary Navier-Stokes equations JO - J. Differ. Equ. VL - 250 UR - https://doi.org/10.1016/j.jde.2011.01.003 DO - 10.1016/j.jde.2011.01.003 ID - Konieczny2011 ER - TY - STD TI - Sun, J, Yang, M, Cui, S: Existence and analyticity of mild solutions for the 3D rotating Navier-Stokes equations. (submitted) ID - ref21 ER - TY - JOUR AU - Charve, F. PY - 2004 DA - 2004// TI - Global well-posedness and asymptotics for a geophysical fluid system JO - Commun. Partial Differ. Equ. VL - 29 UR - https://doi.org/10.1081/PDE-200043510 DO - 10.1081/PDE-200043510 ID - Charve2004 ER - TY - JOUR AU - Charve, F. PY - 2008 DA - 2008// TI - Global well-posedness for the primitive equations with less regular initial data JO - Ann. Fac. Sci. Toulouse VL - 17 UR - https://doi.org/10.5802/afst.1182 DO - 10.5802/afst.1182 ID - Charve2008 ER - TY - JOUR AU - Charve, F. AU - Ngo, V. PY - 2011 DA - 2011// TI - Global existence for the primitive equations with small anisotropic viscosity JO - Rev. Mat. Iberoam. VL - 27 UR - https://doi.org/10.4171/RMI/629 DO - 10.4171/RMI/629 ID - Charve2011 ER - TY - JOUR AU - Koba, H. AU - Mahalov, A. AU - Yoneda, T. PY - 2012 DA - 2012// TI - Global well-posedness for the rotating Navier-Stokes-Boussinesq equations with stratification effects JO - Adv. Math. Sci. Appl. VL - 22 ID - Koba2012 ER - TY - JOUR AU - Babin, A. AU - Mahalov, A. AU - Nicolaenko, B. PY - 1997 DA - 1997// TI - On the asymptotic regimes and the strongly stratified limit of rotating Boussinesq equations JO - Theor. Comput. Fluid Dyn. VL - 9 UR - https://doi.org/10.1007/s001620050042 DO - 10.1007/s001620050042 ID - Babin1997 ER - TY - JOUR AU - Babin, A. AU - Mahalov, A. AU - Nicolaenko, B. PY - 2000 DA - 2000// TI - Fast singular oscillating limits and global regularity for the 3D primitive equations of geophysics JO - Math. Model. Numer. Anal. VL - 34 UR - https://doi.org/10.1051/m2an:2000138 DO - 10.1051/m2an:2000138 ID - Babin2000 ER - TY - CHAP AU - Babin, A. AU - Mahalov, A. AU - Nicolaenko, B. PY - 2001 DA - 2001// TI - Strongly stratified limit of 3D primitive equations in an infinite layer BT - Advances in Wave Interaction and Turbulence ID - Babin2001 ER - TY - JOUR AU - Charve, F. PY - 2005 DA - 2005// TI - Convergence of weak solutions for the primitive system of the quasigeostrophic equations JO - Asymptot. Anal. VL - 42 ID - Charve2005 ER - TY - STD TI - Charve, F: Asymptotics and lower bound for the lifespan of solutions to the Primitive Equations. arXiv:1411.6859 UR - http://arxiv.org/abs/arXiv:1411.6859 ID - ref30 ER - TY - JOUR AU - Chemin, J. -. Y. PY - 1997 DA - 1997// TI - À propos d’un problème de pénalisation de type antisymétrique JO - J. Math. Pures Appl. VL - 76 UR - https://doi.org/10.1016/S0021-7824(97)89967-9 DO - 10.1016/S0021-7824(97)89967-9 ID - Chemin1997 ER - TY - JOUR AU - Danchin, R. PY - 2000 DA - 2000// TI - Global existence in critical spaces for compressible Navier-Stokes equations JO - Invent. Math. VL - 141 UR - https://doi.org/10.1007/s002220000078 DO - 10.1007/s002220000078 ID - Danchin2000 ER - TY - JOUR AU - Danchin, R. PY - 2001 DA - 2001// TI - Global existence in critical spaces for flows of compressible viscous and heat-conductive gases JO - Arch. Ration. Mech. Anal. VL - 160 UR - https://doi.org/10.1007/s002050100155 DO - 10.1007/s002050100155 ID - Danchin2001 ER - TY - BOOK AU - Bahouri, H. AU - Chemin, J. -. Y. AU - Danchin, R. PY - 2011 DA - 2011// TI - Fourier Analysis and Nonlinear Partial Differential Equations PB - Springer CY - Berlin UR - https://doi.org/10.1007/978-3-642-16830-7 DO - 10.1007/978-3-642-16830-7 ID - Bahouri2011 ER - TY - BOOK AU - Triebel, H. PY - 1983 DA - 1983// TI - Theory of Function Spaces PB - Birkhäuser CY - Basel UR - https://doi.org/10.1007/978-3-0346-0416-1 DO - 10.1007/978-3-0346-0416-1 ID - Triebel1983 ER - TY - JOUR AU - Bony, J. -. M. PY - 1981 DA - 1981// TI - Symbolic calculus and propagation of singularities for nonlinear partial differential equations JO - Ann. Sci. Éc. Norm. Super. VL - 14 ID - Bony1981 ER -