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byJacob Haqq-Misra; Prabal Saxena; Eric T. Wolf; Ravi Kumar Kopparapu

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The population of known extrasolar planets includes giant and terrestrial planets that closely orbit their host star. Such planets experience significant tidal distortions that can force the planet into synchronous rotation. The combined effects of tidal deformation and centripetal acceleration induces significant asphericity in the shape of these planets, compared to the mild oblateness of Earth, with maximum gravitational acceleration at the poles. Here we show that this latitudinal variation... Topics: Earth and Planetary Astrophysics, Astrophysics, Instrumentation and Methods for Astrophysics,... Source: http://arxiv.org/abs/1608.02536

This paper is concerned with the long-time behavior of solutions for the three dimensional primitive equations of large-scale ocean and atmosphere dynamics in an unbounded domain. Since the Sobolev embedding is no longer compact in an unbounded domain, we cannot obtain the asymptotical compactness of the semigroup generated by problem (2.4)-(2.6) by the Sobolev compactness embedding theorem even if we obtain the existence of an absorbing set in more regular phase space. To overcome this... Topics: Physics, Analysis of PDEs, Mathematical Physics, Atmospheric and Oceanic Physics, Mathematics Source: http://arxiv.org/abs/1612.02679

bySabine Hittmeir; Rupert Klein; Jinkai Li; Edriss S. Titi

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We study a moisture model for warm clouds that has been used by Klein and Majda as a basis for multiscale asymptotic expansions for deep convective phenomena. These moisture balance equations correspond to a bulk microphysics closure in the spirit of Kessler and of Grabowski and Smolarkiewicz, in which water is present in the gaseous state as water vapor and in the liquid phase as cloud water and rain water. It thereby contains closures for the phase changes condensation and evaporation, as... Topics: Fluid Dynamics, Atmospheric and Oceanic Physics, Analysis of PDEs, Physics, Mathematics, Geophysics Source: http://arxiv.org/abs/1610.00060