Results 21 to 30 of about 68 (38)

On the inertial range bounds of K-41 like Magnetohydrodynamics turbulence [PDF]

arXiv, 2021
The spectral slope of Magnetohydrodynamic (MHD) turbulence varies depending on the spectral theory considered; $ -3/2 $ is the spectral slope in Kraichnan-Iroshnikov-Dobrowolny (KID) theory, $ -5/3 $ in Marsch-Matthaeus-Zhou's and Goldreich-Sridhar theories also called Kolmogorov-like (K-41 like) MHD theory, combination of the $-5/3$ and $-3/2$ scales ...
arxiv  

Hyperbolic predators vs parabolic preys [PDF]

arXiv, 2014
We present a nonlinear predator-prey system consisting of a nonlocal conservation law for predators coupled with a parabolic equation for preys. The drift term in the predators' equation is a nonlocal function of the prey density, so that the movement of predators can be directed towards region with high prey density.
arxiv  

Uniqueness and Lipschitz stability of an inverse boundary value problem for time-harmonic elastic waves [PDF]

arXiv, 2014
We consider the inverse problem of determining the Lam\'{e} parameters and the density of a three-dimensional elastic body from the local time-harmonic Dirichlet-to-Neumann map. We prove uniqueness and Lipschitz stability of this inverse problem when the Lam\'{e} parameters and the density are assumed to be piecewise constant on a given domain ...
arxiv  

Rigorous derivation of a linear sixth-order thin-film equation as a reduced model for thin fluid -- thin structure interaction problems [PDF]

, 2019
We analyze a linear 3D/3D fluid-structure interaction problem between a thin layer of a viscous fluid and a thin elastic plate-like structure with the aim of deriving a simplified reduced model. Based on suitable energy dissipation inequalities quantified in terms of two small parameters, thickness of the fluid layer and thickness of the elastic ...
arxiv   +1 more source

Incompressible Limit of Solutions of Multidimensional Steady Compressible Euler Equations [PDF]

, 2015
A compactness framework is formulated for the incompressible limit of approximate solutions with weak uniform bounds with respect to the adiabatic exponent for the steady Euler equations for compressible fluids in any dimension. One of our main observations is that the compactness can be achieved by using only natural weak estimates for the mass ...
arxiv   +1 more source

Decomposition of Three-Dimensional Steady Non-isentropic Compressible Euler System and Stability of Spherically Symmetric Subsonic Flows and Transonic Shocks under Multidimensional Perturbations [PDF]

arXiv, 2015
We develop a method that works in general product Riemannian manifold to decompose the three-dimensional steady full compressible Euler system, which is of elliptic-hyperbolic composite-mixed type for subsonic flows. The method is applied to show stability of spherically symmetric subsonic flows and transonic shocks in space $\mathbb{R}^3$ under ...
arxiv  

On the Inertial Range Bounds of K-41-like Magnetohydrodynamics Turbulence. [PDF]

Entropy (Basel), 2022
Tegegn TA.
europepmc   +1 more source

Non Local Mixed Systems with Neumann Boundary Conditions [PDF]

arXiv
We prove well posedness and stability in $\mathbf{L}^1$ for a class of mixed hyperbolic-parabolic non linear and non local equations in a bounded domain with no flow along the boundary. While the treatment of boundary conditions for the hyperbolic equation is standard, the extension to $\mathbf{L}^1$ of classical results about parabolic equations with ...
arxiv  

A Diffuse Interface Model for Electrowetting with Moving Contact Lines [PDF]

arXiv, 2011
We introduce a diffuse interface model for the phenomenon of electrowetting on dielectric and present an analysis of the arising system of equations. Moreover, we study discretization techniques for the problem. The model takes into account different material parameters on each phase and incorporates the most important physical processes, such as ...
arxiv  

Local well-posedness and Global stability of the Two-Phase Stefan problem [PDF]

arXiv, 2016
The two-phase Stefan problem describes the temperature distribution in a homogeneous medium undergoing a phase transition such as ice melting to water. This is accomplished by solving the heat equation on a time-dependent domain, composed of two regions separated by an a priori unknown moving boundary which is transported by the difference (or jump) of
arxiv