Stability of rarefaction wave to the 1-D piston problem for exothermically reacting Euler equations

Min Ding

doi:10.1007/s00526-017-1162-4

Stability of rarefaction wave to the 1-D piston problem for exothermically reacting Euler equations

Calculus of Variations and Partial Differential Equations ◽

10.1007/s00526-017-1162-4 ◽

2017 ◽

Vol 56 (3) ◽

Cited By ~ 1

Author(s):

Min Ding

Keyword(s):

Rarefaction Wave ◽

Euler Equations ◽

Piston Problem

Download Full-text

Stability and non-relativistic limits of rarefaction wave to the 1-D piston problem for the relativistic Euler equations

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-017-0787-7 ◽

2017 ◽

Vol 68 (2) ◽

Cited By ~ 2

Author(s):

Min Ding ◽

Yachun Li

Keyword(s):

Rarefaction Wave ◽

Euler Equations ◽

Piston Problem ◽

Relativistic Euler Equations

Download Full-text

Global stability of rarefaction wave to the 1-D piston problem for the Compressible Full Euler Equations

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2016.11.059 ◽

2017 ◽

Vol 448 (2) ◽

pp. 1228-1264 ◽

Cited By ~ 8

Author(s):

Min Ding ◽

Jie Kuang ◽

Yongqian Zhang

Keyword(s):

Global Stability ◽

Rarefaction Wave ◽

Euler Equations ◽

Piston Problem

Download Full-text

Non-relativistic limits of rarefaction wave to the 1-D piston problem for the isentropic relativistic Euler equations

Journal of Mathematical Physics ◽

10.1063/1.4997873 ◽

2017 ◽

Vol 58 (8) ◽

pp. 081510 ◽

Cited By ~ 4

Author(s):

Min Ding ◽

Yachun Li

Keyword(s):

Rarefaction Wave ◽

Euler Equations ◽

Piston Problem ◽

Relativistic Euler Equations ◽

Isentropic Relativistic Euler Equations

Download Full-text

Existence and stability of rarefaction wave to 1-D piston problem for the relativistic full Euler equations

Journal of Differential Equations ◽

10.1016/j.jde.2017.02.028 ◽

2017 ◽

Vol 262 (12) ◽

pp. 6068-6108 ◽

Cited By ~ 4

Author(s):

Min Ding

Keyword(s):

Rarefaction Wave ◽

Euler Equations ◽

Piston Problem ◽

Existence And Stability

Download Full-text

Global existence and non-relativistic global limits of entropy solutions to the 1D piston problem for the isentropic relativistic Euler equations

Journal of Mathematical Physics ◽

10.1063/1.4792474 ◽

2013 ◽

Vol 54 (3) ◽

pp. 031506 ◽

Cited By ~ 13

Author(s):

Min Ding ◽

Yachun Li

Keyword(s):

Global Existence ◽

Euler Equations ◽

Entropy Solutions ◽

Piston Problem ◽

Relativistic Euler Equations ◽

Isentropic Relativistic Euler Equations

Download Full-text

Global Existence of Shock Front Solution to 1-D Piston Problem for Compressible Euler Equations

Journal of Mathematical Fluid Mechanics ◽

10.1007/s00021-018-0399-9 ◽

2018 ◽

Vol 20 (4) ◽

pp. 2053-2071

Author(s):

Min Ding

Keyword(s):

Global Existence ◽

Shock Front ◽

Euler Equations ◽

Compressible Euler Equations ◽

Piston Problem ◽

Front Solution ◽

Compressible Euler ◽

Shock Front Solution

Download Full-text

One dimensional piston problem for compressible Euler equations of generalized Chaplygin gas

Applied Mathematics Letters ◽

10.1016/j.aml.2020.106744 ◽

2021 ◽

Vol 112 ◽

pp. 106744

Author(s):

Yongqiang Fan ◽

Lihui Guo ◽

Xingya Fan ◽

Shouke You

Keyword(s):

Euler Equations ◽

Chaplygin Gas ◽

Compressible Euler Equations ◽

Piston Problem ◽

Generalized Chaplygin Gas ◽

One Dimensional ◽

Compressible Euler

Download Full-text

Global existence of shock front solutions in 1-dimensional piston problem in the relativistic Euler equations

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-007-5121-3 ◽

2007 ◽

Vol 59 (2) ◽

pp. 244-263 ◽

Cited By ~ 12

Author(s):

Yulan Xu ◽

Yanping Dou

Keyword(s):

Global Existence ◽

Shock Front ◽

Euler Equations ◽

Piston Problem ◽

Relativistic Euler Equations ◽

Front Solutions

Download Full-text

A multidimensional piston problem for the Euler equations for compressible flow

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2005.13.361 ◽

2005 ◽

Vol 13 (2) ◽

pp. 361-383 ◽

Cited By ~ 16

Author(s):

Shuxing Chen ◽

◽

Gui-Qiang Chen ◽

Zejun Wang ◽

Dehua Wang ◽

...

Keyword(s):

Compressible Flow ◽

Euler Equations ◽

Piston Problem

Download Full-text

On the initial-boundary value problem for the Euler equations in presence of a rarefaction wave

Journal of Hyperbolic Differential Equations ◽

10.1142/s0219891619500103 ◽

2019 ◽

Vol 16 (02) ◽

pp. 271-292

Author(s):

Dening Li

Keyword(s):

Boundary Value Problem ◽

Rarefaction Wave ◽

Euler Equations ◽

Smooth Solution ◽

Infinite Order ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problem ◽

Classical Sense ◽

Initial Boundary Value

We study the initial-boundary value problem for the general non-isentropic 3D Euler equations with data which are incompatible in the classical sense, but are “rarefaction-compatible”. We show that such data are also rarefaction-compatible of infinite order and the initial-boundary value problem has a piece-wise smooth solution containing a rarefaction wave.

Download Full-text