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Nonlinear evolution of one-dimensional planar perturbations in an optically thin radiatively cooling medium in the long-wavelength limit is studied numerically. The accepted cooling function generates in thermal equilibrium a bistable…

天体物理学 · 物理学 2009-10-31 I. G. Kovalenko , Yu. A. Shchekinov

Voids represent a unique environment for the study of galaxy evolution, as the lower density environment is expected to result in shorter merger histories and slower evolution of galaxies. This provides an ideal opportunity to test theories…

The evolution of quantum gases, released from traps, are studied through hydrodynamics, both analytically and numerically, in one and two dimensions. In particular, we demonstrate the existence of long time self-similar solutions of the…

量子气体 · 物理学 2025-09-04 Ritwik Mukherjee , Abhishek Dhar , Manas Kulkarni , Samriddhi Sankar Ray

Building upon the pioneering work [Merle, Rapha\"el, Rodnianski, and Szeftel, Ann. of Math., 196(2):567-778, 2022, Ann. of Math., 196(2):779-889, 2022, Invent. Math., 227(1):247-413, 2022] we construct exact, smooth self-similar imploding…

偏微分方程分析 · 数学 2025-04-22 Tristan Buckmaster , Gonzalo Cao-Labora , Javier Gómez-Serrano

An explosively generated shockwave with time-dependent radius $R(t)$ is characterized by a phase in which the shocked gas becomes radiative with an effective adiabatic index $\gamma \simeq 1$. Using the result that the post-shock gas is…

高能天体物理现象 · 物理学 2020-05-20 Eric R. Coughlin

Dispersive shock waves and solitons are fundamental nonlinear excitations in dispersive media, but dispersive shock wave studies to date have been severely constrained. Here we report on a novel dispersive hydrodynamics testbed: the…

斑图形成与孤子 · 物理学 2016-05-04 Michelle D. Maiden , Nicholas K. Lowman , Dalton V. Anderson , Marika E. Schubert , Mark A. Hoefer

Self-similar solutions to converging (implosions) and diverging (explosions) shocks have been studied before, in planar, cylindrical or spherical symmetry. Here we offer a unified treatment of these apparently disconnected problems . We…

高能天体物理现象 · 物理学 2021-05-10 Elisha Modelevsky , Re'em Sari

Shortened version: The fate of IS clouds embedded in a hot tenuous medium depends on whether the clouds suffer from evaporation or whether material condensates onto them. Analytical solutions for the rate of evaporative mass loss from an…

天体物理学 · 物理学 2009-11-13 W. Vieser , G. Hensler

In this paper we develop two models for the steady states and evolution of two dimensional isothermal self gravitating and rotating incompressible gas which are based on the hydrodynamic equations for stratified fluid. The first model is…

地球与行星天体物理 · 物理学 2015-04-14 Mayer Humi , Zilu Tian

We perform one of the first studies into the nonlinear evolution of tidally excited inertial waves in a uniformly rotating fluid body, exploring a simplified model of the fluid envelope of a planet (or the convective envelope of a…

地球与行星天体物理 · 物理学 2014-03-05 B. Favier , A. J. Barker , C. Baruteau , G. I. Ogilvie

Self-similar solutions provide good descriptions for the gravitational collapse of spherical clouds or stars when the gas obeys a polytropic equation of state, $p=K\rho^\gamma$ (with $\gamma\le 4/3$). We study the behaviors of nonradial…

天体物理学 · 物理学 2009-10-31 Dong Lai

In this paper we study the general relationship between the evolutionary conditions for discontinuous solutions of hyperbolic conservation laws with a concave entropy function and the existence and uniqueness of steady dissipative shock…

等离子体物理 · 物理学 2007-05-23 S. A. E. G. Falle , S. S. Komissarov

We use spherically symmetric hydrodynamic simulations to study the dynamical evolution and internal structure of superbubbles (SBs) driven by clustered supernovae (SNe), focusing on the effects of thermal conduction and cooling in the…

星系天体物理 · 物理学 2019-10-09 Kareem El-Badry , Eve C. Ostriker , Chang-Goo Kim , Eliot Quataert , Daniel R. Weisz

We are concerned with the structural stability of conical shocks in the three-dimensional steady supersonic flows past Lipschitz perturbed cones whose vertex angles are less than the critical angle. The flows under consideration are…

偏微分方程分析 · 数学 2021-05-25 Gui-Qiang G. Chen , Jie Kuang , Yongqian Zhang

A series of phase diagrams is obtained for a smooth pair-potential with an outer well and a repulsive inner shoulder. Condensed phase coexistence curves are located using free-energy calculations. Liquid-vapour equilibria are obtained with…

统计力学 · 物理学 2009-11-11 D. Quigley , M. I. J. Probert

In this paper, the nonlinear evolution of a bistable interstellar medium is investigated using two-dimensional simulations with a realistic cooling rate, thermal conduction, and physical viscosity. The calculations are performed using…

星系天体物理 · 物理学 2015-06-17 Kazunari Iwasaki , Shu-ichiro Inutsuka

In this paper we present a general framework in which one can rigorously study the effect of spatio-temporal noise on traveling waves, stationary patterns and oscillations that are invariant under the action of a finite-dimensional set of…

动力系统 · 数学 2020-06-24 James MacLaurin

Within the context of hierarchical scenarios of gravitational structure formation we describe how an evolving hierarchy of voids evolves on the basis of {\em two} processes, the {\em void-in-void} process and the {\it void-in-cloud}…

天体物理学 · 物理学 2007-05-23 Rien van de Weygaert , Ravi Sheth

(accepted for publication in the Ap.J.) I present a general classification of self-similar solutions to the equations of gravitational hydrodynamics that contain many previous results as special cases. For cold flows with spherical…

天体物理学 · 物理学 2009-10-22 Ue-Li Pen

Supersonic turbulent motions are the remarkable properties of interstellar medium. Previous numerical simulations have demonstrated that the thermal instability in a shock-compressed layer produces the supersonic turbulent motion that does…

天体物理学 · 物理学 2007-05-23 Hiroshi Koyama , Shu-ichiro Inutsuka