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This paper concerns the dynamic stability of the steady 3-D wave structure of a planar normal shock front intersecting perpendicularly to a planar solid wall for unsteady potential flows. The stability problem can be formulated as a free…

Analysis of PDEs · Mathematics 2021-08-23 Beixiang Fang , Feimin Huang , Wei Xiang , Feng Xiao

The solution for the radial distribution of pressure, density, temperature and flow velocity fields in a blast wave propagating through a medium at rest, following an intense explosion, starting from hydrodynamic equations, is one of the…

Statistical Mechanics · Physics 2018-12-11 Jilmy P. Joy , Sudhir N. Pathak , R. Rajesh

Collisionless shocks, essential for astrophysics, perhaps do not exist as statistically stationary solutions. If so, any quantitative statement about a collisionless shock should be qualified by the age of the shock. A theoretical…

High Energy Astrophysical Phenomena · Physics 2025-01-30 Andrei Gruzinov

A magnetohydrodynamic (MHD) shock front can be unstable to the corrugation instability, which causes a perturbed shock front to become increasingly corrugated with time. An ideal MHD parallel shock (where the velocity and magnetic fields…

Solar and Stellar Astrophysics · Physics 2021-07-14 Ben Snow , Andrew Hillier

The interpretation of recent observations of bow shocks around O-stars and the creation of corresponding models require a detailed understanding of the associated (magneto-)hydrodynamic structures. We base our study on three-dimensional…

Solar and Stellar Astrophysics · Physics 2020-02-26 K. Scherer , L. R. Baalmann , H. Fichtner , J. Kleimann , D. J. Bomans , K. Weis , S. E. S. Ferreira , K. Herbst

In this paper, we investigate steady states of shallow water moment equations including bottom topographies. We derive a new hyperbolic shallow water moment model based on linearized moment equations that allows for a simple assessment of…

Analysis of PDEs · Mathematics 2020-11-17 Julian Koellermeier , Ernesto Pimentel-Garcia

I present time-dependent analytical solutions of quasi-steady shocks with cooling, where quasi-steady shocks are objects composed of truncated steady-state models of shocks at any intermediate time. I compare these solutions to simulations…

Astrophysics · Physics 2015-05-13 P. Lesaffre

We quantify if the chemical abundance gradients given by a dynamical model of core collapse including time-dependent changes in density and temperature differ greatly from abundances derived from static models, where the density and…

Astrophysics of Galaxies · Physics 2018-07-18 O. Sipilä , P. Caselli

The interaction between a supersonic stellar wind and a (super-)sonic interstellar wind has recently been viewed with new interest. We here first give an overview of the modeling, which includes the heliosphere as an example of a special…

Solar and Stellar Astrophysics · Physics 2016-02-03 Klaus Scherer , Horst Fichtner , Jens Kleimann , Tobias Wiengarten , Dominik J. Bomans , Kerstin Weis

Starting from coupled fluid-kinetic equations for the modeling of laden flows, we derive relevant viscous corrections to be added to asymptotic hydrodynamic systems, by means of Chapman-Enskog expansions and analyse the shock profile…

Analysis of PDEs · Mathematics 2023-06-05 Thierry Goudon , Pauline Lafitte , Corrado Mascia

Since about 25 years ago work has been dedicated to the development of hydrodynamical model atmospheres for cool stars (of A to T spectral type). Despite their obviously sounder physical foundation in comparison with standard hydrostatic…

Astrophysics · Physics 2007-05-23 H. -G. Ludwig , A. Kucinskas

We study the radial distribution of pressure, density, temperature and flow velocity fields at different times in a two dimensional hard sphere gas that is initially at rest and disturbed by injecting kinetic energy in a localized region…

Statistical Mechanics · Physics 2019-07-09 Jilmy P. Joy , R. Rajesh

Shocks waves are a ubiquitous feature of many astrophysical plasma systems, and an important process for energy dissipation and transfer. The physics of these shock waves are frequently treated/modeled as a collisional, fluid MHD…

Plasma Physics · Physics 2021-11-17 Colby C. Haggerty , Antoine Bret , Damiano Caprioli

The generalized hydrodynamic (GHD) approach has been extremely successful in describing the out-of-equilibrium properties of a great variety of integrable many-body quantum systems. It naturally extracts the large-scale dynamical degrees of…

High Energy Physics - Theory · Physics 2021-08-30 Olalla A. Castro-Alvaredo , Cecilia De Fazio , Benjamin Doyon , Francesco Ravanini

The incompressible Navier-Stokes equations currently represent the primary model for describing stratified turbulent fluid flows at low Mach number. The validity of the incompressible assumption, however, has so far only been rigorously…

Fluid Dynamics · Physics 2007-11-20 Remi Tailleux

We investigate the instability and stability of specific steady-state solutions of the two-dimensional non-homogeneous, incompressible, and viscous Navier-Stokes equations under the influence of a general potential $f$. This potential is…

Analysis of PDEs · Mathematics 2025-03-12 Liang Li , Tao Tan , Quan Wang

Many hydrodynamic processes can be studied in a way that is scalable over a vastly relevant physical parameter space. We systematically examine this scalability, which has so far only briefly discussed in astrophysical literature. We show…

Astrophysics of Galaxies · Physics 2014-11-18 Shikui Tang , Q. Daniel Wang

We develop a hydrodynamic approach to non-equilibrium conformal field theory. We study non-equilibrium steady states in the context of one-dimensional conformal field theory perturbed by the $T\bar T$ irrelevant operator. By direct quantum…

Statistical Mechanics · Physics 2016-03-25 Denis Bernard , Benjamin Doyon

The work analyzes the stability of the quantum eigenstates when they are submitted to fluctuations by using the stochastic generalization of the Madelung quantum hydrodynamic approach. In the limit of sufficiently slow kinetics, the quantum…

Quantum Physics · Physics 2020-12-01 Simone Chiarelli , Piero Chiarelli

We combine experiments, large scale simulations and continuum models to study the emergence of coherent structures in a suspension of magnetically driven microrollers sedimented near a floor. Collective hydrodynamic effects are predominant…

Soft Condensed Matter · Physics 2017-08-31 Blaise Delmotte , Michelle Driscoll , Paul Chaikin , Aleksandar Donev
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