Výsledky vyhledávání - "Primitive equations"

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Some properties of a non-hydrostatic stochastic oceanic primitive equations model

Autor: Debussche, Arnaud, Mémin, Étienne, Moneyron, Antoine

In this paper, we study how relaxing the classical hydrostatic balance hypothesis affects theoretical aspects of the LU primitive equations well-posedness. We focus on models that sit between incompressible 3D LU Navier-Stokes equations and standard

Externí odkaz: http://arxiv.org/abs/2407.02289

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Data Assimilation to the Primitive Equations in $H^2$

Autor: Furukawa, Ken

In this paper we prove that the solution to the primitive equations is predicted by the corresponding data assimilation(DA) equations in $H^2$. Although, the DA equation does not include the direct information about the base solution and its initial

Externí odkaz: http://arxiv.org/abs/2409.00579

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Global well-posedness of the 3D primitive equations with horizontal viscosity and vertical diffusivity II: close to $H^1$ initial data

Autor: Cao, Chongsheng, Li, Jinkai, Titi, Edriss S., Wang, Dong

In this paper, we consider the initial-boundary value problem to the three-dimensional primitive equations for the oceanic and atmospheric dynamics with only horizontal eddy viscosities in the horizontal momentum equations and only vertical diffusivi

Externí odkaz: http://arxiv.org/abs/2408.06932

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Regularization by noise for the inviscid primitive equations

Autor: Hu, Ruimeng, Lin, Quyuan, Liu, Rongchang

The deterministic inviscid primitive equations (also called the hydrostatic Euler equations) are known to be ill-posed in Sobolev spaces and in Gevrey classes of order strictly greater than 1, and some of their analytic solutions exist only locally i

Externí odkaz: http://arxiv.org/abs/2407.21336

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From anisotropic Navier-Stokes equations to primitive equations for the ocean and atmosphere

Autor: Lemarié, Valentin

We study the well-posedness of the primitive equations for the ocean and atmosphere on two particular domains : a bounded domain $\Omega_1 := (-1, 1)^3$ with periodic boundary conditions and the strip $\Omega_2 := \mathbb{R}^2 \times (-1, 1)$ with a

Externí odkaz: http://arxiv.org/abs/2406.01104

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Local well-posedness of strong solutions to the 2D nonhomogeneous primitive equations with density-dependent viscosity

Autor: Jiu, Quansen, Ma, Lin, Wang, Fengchao

In this paper, we consider the initial-boundary value problem of the nonhomogeneous primitive equations with density-dependent viscosity. Local well-posedness of strong solutions is established for this system with a natural compatibility condition.

Externí odkaz: http://arxiv.org/abs/2404.17112

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