Elementary Wave Interactions to the Compressible Euler Equations for Chaplygin Gas in Two Dimensions

SIAM Journal on Applied Mathematics ◽

10.1137/16m1061801 ◽

2016 ◽

Vol 76 (6) ◽

pp. 2218-2242 ◽

Author(s):

Geng Lai ◽

Wancheng Sheng

Keyword(s):

Euler Equations ◽

Chaplygin Gas ◽

Two Dimensions ◽

Compressible Euler Equations ◽

Wave Interactions ◽

Elementary Wave ◽

Compressible Euler

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Global existence of the three‐dimensional compressible Euler equations for generalized Chaplygin gas with damping

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.6819 ◽

2020 ◽

Vol 44 (2) ◽

pp. 1176-1184

Author(s):

Ka Luen Cheung

Keyword(s):

Global Existence ◽

Euler Equations ◽

Three Dimensional ◽

Chaplygin Gas ◽

Compressible Euler Equations ◽

Generalized Chaplygin Gas ◽

Compressible Euler

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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

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Delta shock wave in the compressible Euler equations for a Chaplygin gas

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2016.10.078 ◽

2017 ◽

Vol 448 (1) ◽

pp. 245-261 ◽

Author(s):

Yicheng Pang

Keyword(s):

Euler Equations ◽

Chaplygin Gas ◽

Compressible Euler Equations ◽

Delta Shock Wave ◽

Delta Shock ◽

Compressible Euler

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Characteristic decomposition of compressible Euler equations for a non-ideal gas in two-dimensions

Journal of Mathematical Physics ◽

10.1063/1.4896080 ◽

2014 ◽

Vol 55 (9) ◽

pp. 093103 ◽

Author(s):

M. Zafar ◽

V. D. Sharma

Keyword(s):

Euler Equations ◽

Ideal Gas ◽

Two Dimensions ◽

Compressible Euler Equations ◽

Characteristic Decomposition ◽

Compressible Euler

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The Riemann solutions comparison for compressible Euler equations in different Chaplygin gas states

Applicable Analysis ◽

10.1080/00036811.2020.1869944 ◽

2021 ◽

pp. 1-15

Author(s):

Weifeng Jiang ◽

Tong Li ◽

Zhen Wang ◽

Tingting Zhang

Keyword(s):

Euler Equations ◽

Chaplygin Gas ◽

Compressible Euler Equations ◽

Riemann Solutions ◽

Compressible Euler

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Measure solutions of one-dimensional piston problem for compressible Euler equations of Chaplygin gas

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2019.123486 ◽

2020 ◽

Vol 481 (1) ◽

pp. 123486 ◽

Author(s):

Aifang Qu ◽

Hairong Yuan

Keyword(s):

Euler Equations ◽

Chaplygin Gas ◽

Compressible Euler Equations ◽

Piston Problem ◽

One Dimensional ◽

Compressible Euler

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A cell-centered Lagrangian discontinuous Galerkin method using WENO and HWENO limiter for compressible Euler equations in two dimensions

Computational and Applied Mathematics ◽

10.1007/s40314-021-01575-7 ◽

2021 ◽

Vol 40 (6) ◽

Author(s):

Fang Qing ◽

Xijun Yu ◽

Zupeng Jia ◽

Zhenzhen Li

Keyword(s):

Galerkin Method ◽

Euler Equations ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Two Dimensions ◽

Compressible Euler Equations ◽

Compressible Euler ◽

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Finite-time singularity formation for the original multidimensional compressible Euler equations for generalized Chaplygin gas

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-020-1287-8 ◽

2020 ◽

Vol 71 (2) ◽

Author(s):

Ka Luen Cheung ◽

Sen Wong

Keyword(s):

Euler Equations ◽

Finite Time ◽

Chaplygin Gas ◽

Compressible Euler Equations ◽

Singularity Formation ◽

Time Singularity ◽

Generalized Chaplygin Gas ◽

Compressible Euler ◽

Finite Time Singularity

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A high-order vertex-centered quasi-Lagrangian discontinuous Galerkin method for compressible Euler equations in two-dimensions

Computers & Fluids ◽

10.1016/j.compfluid.2020.104678 ◽

2020 ◽

Vol 210 ◽

pp. 104678

Author(s):

Liqi Liu ◽

Zhijun Shen ◽

Qinghong Zeng ◽

Zupeng Jia

Keyword(s):

Galerkin Method ◽

Euler Equations ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Two Dimensions ◽

Compressible Euler Equations ◽

Compressible Euler

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The cell-centered discontinuous Galerkin method for Lagrangian compressible Euler equations in two-dimensions

Computers & Fluids ◽

10.1016/j.compfluid.2014.03.018 ◽

2014 ◽

Vol 96 ◽

pp. 152-164 ◽

Author(s):

Zhenzhen Li ◽

Xijun Yu ◽

Zupeng Jia

Keyword(s):

Galerkin Method ◽

Euler Equations ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Two Dimensions ◽

Compressible Euler Equations ◽

Compressible Euler

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