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View article: Vanishing viscosity limit for the compressible Navier-Stokes equations with non-linear density dependent viscosities
Vanishing viscosity limit for the compressible Navier-Stokes equations with non-linear density dependent viscosities Open
In a three-dimensional bounded domain $Ω$ we consider the compressible Navier-Stokes equations for a barotropic fluid with general non-linear density dependent viscosities and no-slip boundary conditions. A nonlinear drag term is added to …
View article: Relative entropy inequality for capillary fluids with density dependent viscosity and applications
Relative entropy inequality for capillary fluids with density dependent viscosity and applications Open
We derive a relative entropy inequality for capillary compressible fluids with density dependent viscosity. Applications in the context of weak–strong uniqueness analysis, pressureless fluids and high-Mach number flows are presented.
View article: Relative entropy inequality for capillary fluids with density dependent viscosity and applications
Relative entropy inequality for capillary fluids with density dependent viscosity and applications Open
We derive a relative entropy inequality for capillary compressible fluids with density dependent viscosity. Applications in the context of weak-strong uniqueness analysis, pressureless fluids and high-Mach number flows are presented.
View article: Gevrey regularity for the Euler-Bernoulli beam equation with localized structural damping
Gevrey regularity for the Euler-Bernoulli beam equation with localized structural damping Open
We study a Euler-Bernoulli beam equation with localized discontinuous structural damping. As our main result, we prove that the associated $C_0$-semigroup $(S(t))_{t\geq0}$ is of Gevrey class $δ>24$ for $t>0$, hence immediately differentia…
View article: The Effect of Submeso Motions on the Budgets of the Mean Turbulent Kinetic Energy and Temperature Variance in the Stable Atmospheric Surface Layer
The Effect of Submeso Motions on the Budgets of the Mean Turbulent Kinetic Energy and Temperature Variance in the Stable Atmospheric Surface Layer Open
By considering turbulence observations in the atmospheric stable surface layer over complex terrain, we study the effect of submeso motions on the budgets of the mean turbulent kinetic energy (TKE) and (half) the temperature variance. Diff…
View article: Inviscid limit for the compressible Navier-Stokes equations with density dependent viscosity
Inviscid limit for the compressible Navier-Stokes equations with density dependent viscosity Open
We consider the compressible Navier-Stokes system describing the motion of a barotropic fluid with density dependent viscosity confined in a three-dimensional bounded domain $Ω$. We show the convergence of the weak solution to the compress…
View article: Closure scheme for stably stratified turbulence without critical Richardson number
Closure scheme for stably stratified turbulence without critical Richardson number Open
This paper presents a new modification of the second order turbulence closure that removes the critical gradient Richardson number limitation typically found in Mellor-Yamada style models. The mean wind speed and potential temperature prof…
View article: Numerical Assessment of Stratification Influence in Simple Algebraic Turbulence Model
Numerical Assessment of Stratification Influence in Simple Algebraic Turbulence Model Open
This paper presents rst few results obtained using a newly developed test code aimed at validation and cross-comparison of turbulence models to be applied in environmental flows. A simple code based on nite di erence discretization is cons…
View article: Second-Order Model for Atmospheric Turbulence without Critical Richardson Number
Second-Order Model for Atmospheric Turbulence without Critical Richardson Number Open
The purpose of this communication is to present a derivation of the non-dimensional vertical gradients of the mean wind speed and mean potential temperature expressed in terms of the so-called similarity functions for very stable condition…
View article: Vertical heat transport at infinite Prandtl number for micropolar fluid
Vertical heat transport at infinite Prandtl number for micropolar fluid Open
We investigate the upper bound on the vertical heat transport in the fully 3D Rayleigh–Bénard convection problem at the infinite Prandtl number for a micropolar fluid. We obtain a bound, given by the cube root of the Rayleigh number, with …
View article: Dimension reduction for the compressible Navier-Stokes system with density dependent viscosity
Dimension reduction for the compressible Navier-Stokes system with density dependent viscosity Open
We consider a compressible Navier-Stokes system for a barotropic fluid with density dependent viscosity in a three-dimensional time-space domain $(0,T)\times Ω_\varepsilon$ where $Ω_\varepsilon = (0,\varepsilon)^2\times (0,1)$. We show tha…
View article: Measure-valued solutions and weak-strong uniqueness for the\n incompressible inviscid fluid-rigid body interaction
Measure-valued solutions and weak-strong uniqueness for the\n incompressible inviscid fluid-rigid body interaction Open
We consider a coupled system of partial and ordinary differential equations\ndescribing the interaction between an isentropic inviscid fluid and a rigid\nbody moving freely inside the fluid. We prove the existence of measure-valued\nsoluti…
View article: Low Mach and thin domain limit for the compressible Euler system
Low Mach and thin domain limit for the compressible Euler system Open
We consider the compressible Euler system describing the motion of an ideal fluid confined to a straight layer $Ω_δ=(0,δ)\times\mathbb{R}^2, \ \ δ>0$. In the framework of dissipative measure-valued solutions, we show the convergence to the…
View article: The rotating Navier–Stokes–Fourier–Poisson system on thin domains
The rotating Navier–Stokes–Fourier–Poisson system on thin domains Open
We consider the compressible Navier–Stokes–Fourier–Poisson system describing the motion of a viscous heat conducting rotating fluid confined to a straight layer [Formula: see text], where ω is a 2-D domain. The aim of this paper is to show…