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In shockwave theory, the density, velocity and pressure jumps are derived from the conservation equations. Here, we address the physics of a weak shock the other way around. We first show that the density profile of a weak shockwave in a…

Plasma Physics · Physics 2023-06-22 Antoine Bret , Ramesh Narayan

Generalized forms of jump relations are obtained for one dimensional shock waves propagating in a non-ideal gas which reduce to Rankine-Hugoniot conditions for shocks in idea gas when non-idealness parameter becomes zero. The equation of…

High Energy Astrophysical Phenomena · Physics 2015-06-05 R. K. Anand

Periodically sheared colloids at low densities demonstrate a dynamical phase transition from an inactive to active phase as the strain amplitude is increased. The inactive phase consists of no collisions/contacts between particles in the…

Statistical Mechanics · Physics 2015-06-15 S. -L. -Y. Xu , J. M. Schwarz

Conventional phonon-electron interaction induces either triplet or one of two (degenerate) singlet pairing states in time reversal and inversion invariant 3D Dirac semi - metal. Investigation of the order parameters and energies of these…

Superconductivity · Physics 2015-06-22 Baruch Rosenstein , B. Ya. Shapiro , Dingping Li , I. Shapiro

We study the contraction properties (up to shift) for admissible Rankine-Hugoniot discontinuities of $n\times n$ systems of conservation laws endowed with a convex entropy. We first generalize the criterion developed in [47], using the…

Analysis of PDEs · Mathematics 2016-05-04 Moon-Jin Kang , Alexis F. Vasseur

We are concerned with a model of ideal compressible isentropic two-fluid magnetohydrodynamics (MHD). Introducing an entropy-like function, we reduce the equations of two-fluid MHD to a symmetric form which looks like the classical MHD…

Analysis of PDEs · Mathematics 2018-12-26 Lizhi Ruan , Yuri Trakhinin

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

We study dynamical constraints arising from Embedded Contact Homology (ECH) in the spatial isosceles three-body problem. For energies below the critical level, the dynamics on the energy surface is identified with a Reeb flow on the tight…

Symplectic Geometry · Mathematics 2026-03-02 Xijun Hu , Lei Liu , Yuwei Ou , Zhiwen Qiao , Pedro A. S. Salomão

A standard motion control with feedback of the output displacement cannot handle unforeseen contact with environment without penetrating into the soft, i.e. viscoelastic, materials or even damaging the fragile materials. Robotics and…

Systems and Control · Electrical Eng. & Systems 2025-04-09 Michael Ruderman

The turbulent structure of an irregular detonation is studied through very high resolution numerical simulations of 600 points per half reaction length. The aim is to explore the nature of the transverse waves during the collision and…

Fluid Dynamics · Physics 2014-08-19 Yasser Mahmoudi , Kiumars Mazaheri

Flow signatures in experimental data from relativistic ion collisions are usually interpreted as a fingerprint of the presence of a hydrodynamic phase during the evolution of these systems. In this work, flow signatures arising from…

Nuclear Theory · Physics 2015-10-28 Paul Romatschke

Within the context of Magnetohydrodynamics (MHD), the properties of a parallel shock do not depend on the field strength, as the field and the fluid are disconnected for such a geometry. However, in the collisionless case, the field can…

Plasma Physics · Physics 2021-08-25 Antoine Bret

In the present paper, an efficient method to generate "pure" cylindrically converging shock wave without a following contact surface is proposed firstly. Then, the Richtmyer-Meshkov instabilities of two interfaces driven by the generated…

Fluid Dynamics · Physics 2021-02-09 Wei-Gang Zeng , Yu-Xin Ren , Jianhua Pan

The conventional no-slip boundary condition leads to a non-integrable stress singularity at a contact line. This is a main challenge in numerical simulations of two-phase flows with moving contact lines. We derive a two-dimensional…

Fluid Dynamics · Physics 2019-05-23 Hanna Holmgren , Gunilla Kreiss

This paper presents a framework to perform bifurcation analysis in laboratory experiments or simulations. We employ control-based continuation to study the dynamics of a macroscopic variable of a microscopically defined model, exploring the…

Dynamical Systems · Mathematics 2022-08-02 Ilias Panagiotopoulos , Jens Starke , Jan Sieber , Wolfram Just

For nonlinear hyperbolic systems of conservation laws in one space variable, we establish the existence of nonclassical entropy solutions exhibiting nonlinear interactions between shock waves with strong strength. The proposed theory is…

Analysis of PDEs · Mathematics 2021-05-17 Eva Kardhashi , Marc Laforest , Philippe G. LeFloch

In this article, we investigate the two-dimensional pressureless Euler equations with three constant Riemann initial data. Our primary focus is on the wave interactions involving contact discontinuities and delta shocks. A distinguishing…

Analysis of PDEs · Mathematics 2025-07-24 Anamika Pandey , T. Raja Sekhar

We establish the existence, stability, and asymptotic behavior of transonic flows with a transonic shock past a curved wedge for the steady full Euler equations in an important physical regime, which form a nonlinear system of…

Analysis of PDEs · Mathematics 2017-01-02 Gui-Qiang Chen , Jun Chen , Mikhail Feldman

We study the classical problem of planar shock refraction at an oblique density discontinuity, separating two gases at rest. When the shock impinges on the density discontinuity, it refracts and in the hydrodynamical case 3 signals arise.…

Fluid Dynamics · Physics 2015-05-13 P. Delmont , R. Keppens , B. van der Holst

We have considered a shock wave as a surface of discontinuity and computed the entropy production using non-equilibrium thermodynamics for surfaces. The results from this method, which we call the "Gibbs excess method" (GEM), were compared…

Fluid Dynamics · Physics 2021-07-28 Bjørn Hafskjold , Dick Bedeaux , Øivind Wilhelmsen , Signe Kjelstrup
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