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pro vyhledávání: '"76d09"'
We study a model describing the motion of the fluid in a lake, assuming inflow-outflow effects across the bottom, the porous coast and the inflows and outflows of rivers. We prove the global in time existence result for this model. The solvability is
Externí odkaz:
http://arxiv.org/abs/2409.19181
Autor:
Chemetov, N. V., Cipriano, F.
This work is concerned with 2D-Navier Stokes equations in a multiply-connected bounded domain with permeable walls. The permeability is described by a Navier type condition. Our aim is to show that the inviscid limit is a solution of the Euler equati
Externí odkaz:
http://arxiv.org/abs/2409.17301
Autor:
Chemetov, N. V., Antontsev, S. N.
Publikováno v:
Physica D: Nonlinear Phenomena 237 (2008), 92-105
We consider the flow of an { ideal} fluid in a 2D-bounded domain, admitting flows through the boundary of this domain. The flow is described by Euler equations with \textit{non-homogeneous } Navier slip boundary conditions. These conditions can be wr
Externí odkaz:
http://arxiv.org/abs/2409.16166
Autor:
Dai, Mimi
We consider the electron magnetohydrodynamics (MHD) equation on the 3D torus $\mathbb T^3$. For a given smooth vector field $H$ with zero mean and zero divergence, we can construct a weak solution $B$ to the electron MHD in the space $L^\gamma_tW^{1,
Externí odkaz:
http://arxiv.org/abs/2405.14127
We study several types of self-similar solutions for the electron magnetohydrodynamics (MHD) without resistivity, including locally self-similar solutions and pseudo-self-similar solutions. We show that under certain conditions, these types of self-s
Externí odkaz:
http://arxiv.org/abs/2405.00324
Based upon two overlapped, body-unfitted meshes, a type of unified-field monolithic fictitious domain-finite element method (UFMFD-FEM) is developed in this paper for moving interface problems of dynamic fluid-structure interactions (FSI) accompanyin
Externí odkaz:
http://arxiv.org/abs/2402.12517
We consider the incompressible axisymmetric Navier-Stokes equations with swirl as an idealized model for tornado-like flows. Assuming an infinite vortex line which interacts with a boundary surface resembles the tornado core, we look for stationary s
Externí odkaz:
http://arxiv.org/abs/2311.10575
The purpose of this paper is to study the vanishing viscosity limit for the d-dimensional Navier--Stokes equations in the whole space: \begin{equation*} \begin{cases} \partial_tu^\varepsilon+u^\varepsilon\cdot \nabla u^\varepsilon-\varepsilon\Delta u
Externí odkaz:
http://arxiv.org/abs/2307.06812
Autor:
Dai, Mimi
We study the electron magnetohydrodynamics (MHD) in two dimensional geometry, which has a rich family of steady states. In an anisotropic resistivity context, we show global in time existence of small smooth solution near a shear type steady state. C
Externí odkaz:
http://arxiv.org/abs/2306.13036
Autor:
Dong Jianwei, Yuen Manwai
Publikováno v:
Advanced Nonlinear Studies, Vol 24, Iss 4, Pp 941-951 (2024)
In this paper, we consider the free boundary problem of the radially symmetric compressible Navier–Stokes equations with viscosity coefficients of the form μ(ρ) = ρ θ, λ(ρ) = (θ − 1)ρ θ in RN ${\mathbb{R}}^{N}$ . Under the continuous den
Externí odkaz:
https://doaj.org/article/a1985a06c1a5467faf993d04a21cff0c