The exponential behavior of 3D stochastic primitive equations driven by fractional noise
Sign Up to like & getrecommendations! Published in 2021 at "Mathematical Methods in The Applied Sciences"
DOI: 10.1002/mma.7181
Abstract: In this article, we study the exponential behavior of 3D stochastic primitive equations driven by fractional noise. Since fractional Brownian motion is essentially different from Brownian motion, the standard method via classic stochastic analysis tools… read more here.
Keywords: fractional noise; driven fractional; equations driven; primitive equations ... See more keywords
On the long-time stability of a temporal discretization scheme for the three dimensional viscous primitive equations
Sign Up to like & getrecommendations! Published in 2018 at "Numerische Mathematik"
DOI: 10.1007/s00211-017-0934-2
Abstract: In this article, a semi-discretized Euler scheme to solve the three dimensional viscous primitive equations is studied. Based on suitable assumptions on the initial data and forcing terms, the long-time stability of the proposed scheme… read more here.
Keywords: three dimensional; dimensional viscous; viscous primitive; time ... See more keywords
Global well-posedness of strong solutions to the 2D nonhomogeneous incompressible primitive equations with vacuum
Sign Up to like & getrecommendations! Published in 2021 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2021.03.042
Abstract: Abstract We prove the global well-posedness of the strong solution to the two-dimensional inhomogeneous incompressible primitive equations for initial data with small H 1 2 -norm, which also satisfies a natural compatibility condition. A logarithmic… read more here.
Keywords: incompressible primitive; strong solutions; global well; primitive equations ... See more keywords
Uniqueness of the global weak solutions to 2D compressible primitive equations
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2017.12.035
Abstract: Abstract In this paper, we investigate an initial boundary value problem for 2D compressible primitive equations with some specific viscosities. We will prove the uniqueness of the weak solutions obtained by B.V. Gatapov and A.V.… read more here.
Keywords: uniqueness global; global weak; solutions compressible; compressible primitive ... See more keywords
Global well-posedness of z-weak solutions to the primitive equations without vertical diffusivity
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Mathematical Physics"
DOI: 10.1063/5.0065114
Abstract: In this paper, we consider the initial boundary value problem in a cylindrical domain to the three dimensional primitive equations with full eddy viscosity in the momentum equations but with only horizontal eddy diffusivity in… read more here.
Keywords: posedness weak; weak solutions; well posedness; primitive equations ... See more keywords
Rigorous justification of the hydrostatic approximation for the primitive equations by scaled Navier–Stokes equations
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DOI: 10.1088/1361-6544/aba509
Abstract: Consider the anisotropic Navier-Stokes equations as well as the primitive equations. It is shown that the horizontal velocity of the solution to the anisotropic Navier-Stokes equations in a cylindrical domain of height $\varepsilon $ with… read more here.
Keywords: rigorous justification; hydrostatic approximation; navier stokes; primitive equations ... See more keywords