Standard

Shock waves and characteristic discontinuities in ideal compressible two-fluid MHD. / Ruan, Lizhi; Trakhinin, Yuri.

In: Zeitschrift fur Angewandte Mathematik und Physik, Vol. 70, No. 1, 17, 01.02.2019.

Research output: Contribution to journal › Article › peer-review

Harvard

Ruan, L & Trakhinin, Y 2019, 'Shock waves and characteristic discontinuities in ideal compressible two-fluid MHD', Zeitschrift fur Angewandte Mathematik und Physik, vol. 70, no. 1, 17. https://doi.org/10.1007/s00033-018-1063-1

APA

Ruan, L., & Trakhinin, Y. (2019). Shock waves and characteristic discontinuities in ideal compressible two-fluid MHD. Zeitschrift fur Angewandte Mathematik und Physik, 70(1), [17]. https://doi.org/10.1007/s00033-018-1063-1

Vancouver

Ruan L, Trakhinin Y. Shock waves and characteristic discontinuities in ideal compressible two-fluid MHD. Zeitschrift fur Angewandte Mathematik und Physik. 2019 Feb 1;70(1):17. doi: 10.1007/s00033-018-1063-1

Author

Ruan, Lizhi ; Trakhinin, Yuri. / Shock waves and characteristic discontinuities in ideal compressible two-fluid MHD. In: Zeitschrift fur Angewandte Mathematik und Physik. 2019 ; Vol. 70, No. 1.

BibTeX

@article{f58fcd42f81e449a9b8f7c1af4409b9b,
title = "Shock waves and characteristic discontinuities in ideal compressible two-fluid MHD",
abstract = "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 system written in the nonconservative form in terms of the pressure, the velocity, the magnetic field and the entropy. This gives a number of instant results. In particular, we conclude that all compressive extreme shock waves exist locally in time in the limit of weak magnetic field. We write down a condition sufficient for the local-in-time existence of current-vortex sheets in two-fluid flows. For the 2D case and a particular equation of state, we make the conclusion that contact discontinuities in two-fluid MHD flows exist locally in time provided that the Rayleigh–Taylor sign condition on the jump of the normal derivative of the pressure is satisfied at the first moment.",
keywords = "Characteristic discontinuities, Inviscid two-fluid magnetohydrodynamic flows, Local-in-time existence, Shock waves, Symmetric hyperbolic system, CURRENT-VORTEX SHEETS, EXISTENCE, STABILITY, SYSTEMS, GLOBAL WELL-POSEDNESS",
author = "Lizhi Ruan and Yuri Trakhinin",
year = "2019",
month = feb,
day = "1",
doi = "10.1007/s00033-018-1063-1",
language = "English",
volume = "70",
journal = "Zeitschrift fur Angewandte Mathematik und Physik",
issn = "0044-2275",
publisher = "Birkhauser Verlag Basel",
number = "1",

}

RIS

TY - JOUR

T1 - Shock waves and characteristic discontinuities in ideal compressible two-fluid MHD

AU - Ruan, Lizhi

AU - Trakhinin, Yuri

PY - 2019/2/1

Y1 - 2019/2/1

N2 - 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 system written in the nonconservative form in terms of the pressure, the velocity, the magnetic field and the entropy. This gives a number of instant results. In particular, we conclude that all compressive extreme shock waves exist locally in time in the limit of weak magnetic field. We write down a condition sufficient for the local-in-time existence of current-vortex sheets in two-fluid flows. For the 2D case and a particular equation of state, we make the conclusion that contact discontinuities in two-fluid MHD flows exist locally in time provided that the Rayleigh–Taylor sign condition on the jump of the normal derivative of the pressure is satisfied at the first moment.

AB - 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 system written in the nonconservative form in terms of the pressure, the velocity, the magnetic field and the entropy. This gives a number of instant results. In particular, we conclude that all compressive extreme shock waves exist locally in time in the limit of weak magnetic field. We write down a condition sufficient for the local-in-time existence of current-vortex sheets in two-fluid flows. For the 2D case and a particular equation of state, we make the conclusion that contact discontinuities in two-fluid MHD flows exist locally in time provided that the Rayleigh–Taylor sign condition on the jump of the normal derivative of the pressure is satisfied at the first moment.

KW - Characteristic discontinuities

KW - Inviscid two-fluid magnetohydrodynamic flows

KW - Local-in-time existence

KW - Shock waves

KW - Symmetric hyperbolic system

KW - CURRENT-VORTEX SHEETS

KW - EXISTENCE

KW - STABILITY

KW - SYSTEMS

KW - GLOBAL WELL-POSEDNESS

UR - http://www.scopus.com/inward/record.url?scp=85058927648&partnerID=8YFLogxK

U2 - 10.1007/s00033-018-1063-1

DO - 10.1007/s00033-018-1063-1

M3 - Article

AN - SCOPUS:85058927648

VL - 70

JO - Zeitschrift fur Angewandte Mathematik und Physik

JF - Zeitschrift fur Angewandte Mathematik und Physik

SN - 0044-2275

IS - 1

M1 - 17

ER -

ID: 18069424