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High order perturbation theory corrections to the superfluid transition temperature in a weakly interacting Fermi gas with repulsive interaction are calculated. This involves calculating the contributions of third and fourth order diagrams…

Superconductivity · Physics 2009-10-31 D. V. Efremov , M. S. Mar'enko , M. A. Baranov , M. Yu. Kagan

A system of fluid-dynamic-type equations and their boundary conditions derived from a system of the Boltzmann equation is of great importance in kinetic theory when we are concerned with the motion of a slightly rarefied gas. It offers an…

Fluid Dynamics · Physics 2022-11-04 Satoshi Taguchi , Tetsuro Tsuji

A semi-explicit formula of solution to the boundary layer system for thermal layer derived from the compressible Navier-Stokes equations with the non-slip boundary condition when the viscosity coefficients vanish is given, in particular in…

Analysis of PDEs · Mathematics 2016-08-10 Cheng-Jie Liu , Ya-Guang Wang , Tong Yang

This paper is devoted to the derivation and mathematical analysis of a wave-structure interaction problem which can be reduced to a transmission problem for a Boussinesq system. Initial boundary value problems and transmission problems in…

Analysis of PDEs · Mathematics 2021-07-14 D. Bresch , David Lannes , Guy Metivier

The mechanisms governing the low-frequency unsteadiness in the shock wave/turbulent boundary layer interaction at Mach 2 are considered. The investigation is conducted based on the numerical database issued from large-eddy simulations…

Fluid Dynamics · Physics 2021-07-07 Kenzo Sasaki , Diogo C. Barros , André V. G. Cavalieri , Lionel Larchevêque

Thermal conduction is an important energy transfer and damping mechanism in astrophysical flows. Fourier's law - the heat flux is proportional to the negative temperature gradient, leading to temperature diffusion - is a well-known…

Solar and Stellar Astrophysics · Physics 2015-06-23 Daniel Lecoanet , Benjamin P. Brown , Ellen G. Zweibel , Keaton J. Burns , Jeffrey S. Oishi , Geoffrey M. Vasil

This paper presents the variational discretization of the compressible Navier-Stokes-Fourier system, in which the viscosity and the heat conduction terms are handled within the variational approach to nonequilibrium thermodynamics as…

Differential Geometry · Mathematics 2022-02-09 Benjamin Couéraud , François Gay-Balmaz

In this paper we implement a simple strategy, based on Jin and Braza's method, to deal with nonreflecting outlet boundary conditions for incompressible Navier-Stokes flows using the method of smoothed particle hydrodynamics (SPH). The…

Convection in a spherical shell is widely used to model fluid layers of planets and stars. The choice of thermal boundary conditions in such models is not always straightforward. To understand the implications of this choice, we report on…

Classical Physics · Physics 2021-06-09 Thibaut Clarté , Nathanaël Schaeffer , Stéphane Labrosse , Jérémie Vidal

The Navier--Stokes transport coefficients for a model of a confined quasi-two-dimensional granular binary mixture of inelastic hard spheres are determined from the Boltzmann kinetic equation. A normal or hydrodynamic solution to the…

Soft Condensed Matter · Physics 2021-02-25 Vicente Garzó , Ricardo Brito , Rodrigo Soto

One of quantum physics' fundamental, but largely unsolved, problems is the computation of the correlation functions in many-body systems. In this paper we address this problem in the case of one-dimensional spinor gases with repulsive…

Quantum Gases · Physics 2024-11-12 Ovidiu I. Patu

We explore layered strongly correlated materials as a platform to identify and control unconventional heat transfer phenomena. We demonstrate that these systems can be tailored to sustain a wide spectrum of heat transport regimes, ranging…

Strongly Correlated Electrons · Physics 2021-11-29 Giacomo Mazza , Marco Gandolfi , Massimo Capone , Francesco Banfi , Claudio Giannetti

In this work we presented a derivation of the quantum hydrodynamic equations for neutral bosons. We considered short range interaction between particles. This interaction consist binary interaction $U(\textbf{r}_{i},\textbf{r}_{j})$ and…

Quantum Gases · Physics 2013-02-08 Pavel A. Andreev

We address the dynamical and statistical description of stably stratified turbulent boundary layers with the important example of the atmospheric boundary layer with a stable temperature stratification in mind. Traditional approaches to…

Chaotic Dynamics · Physics 2009-02-18 Victor S. L'vov , Itamar Procaccia , Oleksii Rudenko

We study a thermodynamically consistent diffuse interface model that describes the motion of a two-phase flow of two viscous incompressible Newtonian fluids with unmatched densities and a soluble surfactant in a bounded domain of two or…

Analysis of PDEs · Mathematics 2026-01-13 Bohan Ouyang , Maurizio Grasselli , Hao Wu

The shock-boundary layer interaction over the convex wall of a supersonic turbine vane is studied with a focus on extreme separation bubble events and the interplay between the bubble, streaks, and streamwise vortices. The present analysis…

Fluid Dynamics · Physics 2025-12-16 Hugo Lui , William Wolf

The hydrodynamics for a gas of hard-spheres which sometimes experience inelastic collisions resulting in the loss of a fixed, velocity-independent, amount of energy $\Delta $ is investigated with the goal of understanding the coupling…

Soft Condensed Matter · Physics 2007-05-23 James F. Lutsko

Emission in many astrophysical transients originates from a shocked fluid. A central engine typically produces an outflow with varying speeds, leading to internal collisions within the outflow at finite distances from the source. Each such…

High Energy Astrophysical Phenomena · Physics 2023-12-25 Sk. Minhajur Rahaman , Jonathan Granot , Paz Beniamini

A numerical method is developed to calculate the transition temperature of double or multi-layers consisting of films of super- and normal conductors. The approach is based on a dynamic interpretation of Gorkov's linear gap equation and is…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Gerd Bergmann

The linearized, compressible Navier-Stokes equations can be used to model acoustic wave propagation in the presence of viscous and thermal boundary layers. However, acoustic boundary layers are notorious for invoking prohibitively high…

Computational Physics · Physics 2018-08-01 Martin Berggren , Anders Bernland , Daniel Noreland