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pro vyhledávání: '"Catania, Davide"'
We consider a 3D Tropical Climate Model with damping terms in the equation of the barotropic mode $u$ and in the equation of the first baroclinic mode $v$ of the velocity. The equation for the temperature $\theta$ is free from dampings. We prove glob
Externí odkaz:
http://arxiv.org/abs/2305.07964
In this paper we deal with the 3D tropical climate model with damping terms in the equation of the barotropic mode $u$ and in the equation of the first baroclinic mode $v$ of the velocity, and we establish a regularity criterion for this system thank
Externí odkaz:
http://arxiv.org/abs/2205.03841
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 February 2023 518(1)
Autor:
Bisconti, Luca, Catania, Davide
We show the existence of an inertial manifold (i.e. a globally invariant, exponentially attracting, finite-dimensional manifold) for the approximate deconvolution model of the 2D mean Boussinesq equations. This model is obtained by means of the Van C
Externí odkaz:
http://arxiv.org/abs/1710.10167
We consider the free boundary problem for the two-dimensional plasma-vacuum interface in ideal compressible magnetohydrodynamics (MHD). In the plasma region, the flow is governed by the usual compressible MHD equations, while in the vacuum region we
Externí odkaz:
http://arxiv.org/abs/1604.03759
Autor:
Bisconti, Luca, Catania, Davide
We consider the 2D simplified Bardina turbulence model, with horizontal filtering, in an unbounded strip-like domain. We prove global existence and uniqueness of weak solutions in a suitable class of anisotropic weighted Sobolev spaces.
Externí odkaz:
http://arxiv.org/abs/1512.05889
Autor:
Bisconti, Luca, Catania, Davide
We consider a Large Eddy Simulation model for a homogeneous incompressible Newtonian fluid in a box space domain with periodic boundary conditions on the lateral boundaries and homogeneous Dirichlet conditions on the top and bottom boundaries, thus s
Externí odkaz:
http://arxiv.org/abs/1402.5251
Publikováno v:
Communications on Pure and Applied Analysis, Volume 13, Number 6, November 2014, pages 2407-2443
We consider the free boundary problem for the plasma-vacuum interface in ideal compressible magnetohydrodynamics (MHD). In the plasma region, the flow is governed by the usual compressible MHD equations, while in the vacuum region we consider the Max
Externí odkaz:
http://arxiv.org/abs/1309.3980
We consider two Large Eddy Simulation (LES) models for the approximation of large scales of the equations of Magnetohydrodynamics (MHD in the sequel). We study two $\alpha$-models, which are obtained adapting to the MHD the approach by Stolz and Adam
Externí odkaz:
http://arxiv.org/abs/1206.1483
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