An Interaction of a Rarefaction Wave and a Transonic Shock for the Self-Similar Two-Dimensional Nonlinear Wave System

Communications in Partial Differential Equations ◽

10.1080/03605302.2011.653615 ◽

2012 ◽

Vol 37 (4) ◽

pp. 610-646 ◽

Author(s):

Eun Heui Kim

Keyword(s):

Rarefaction Wave ◽

Nonlinear Wave ◽

The Self ◽

Wave System ◽

Two Dimensional ◽

Transonic Shock ◽

Self Similar ◽

Nonlinear Wave System

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Transonic shock and rarefaction wave interactions of two-dimensional Riemann problems for the self-similar nonlinear wave system

Bulletin of the Brazilian Mathematical Society New Series ◽

10.1007/s00574-016-0160-z ◽

2016 ◽

Vol 47 (2) ◽

pp. 431-444

Author(s):

Eun Heui Kim

Keyword(s):

Rarefaction Wave ◽

Nonlinear Wave ◽

The Self ◽

Wave System ◽

Two Dimensional ◽

Riemann Problems ◽

Wave Interactions ◽

Transonic Shock ◽

Self Similar ◽

Nonlinear Wave System

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Transonic shock reflection problems for the self-similar two-dimensional nonlinear wave system

Nonlinear Analysis ◽

10.1016/j.na.2012.11.002 ◽

2013 ◽

Vol 79 ◽

pp. 85-102 ◽

Author(s):

Eun Heui Kim ◽

Chung-Min Lee

Keyword(s):

Nonlinear Wave ◽

The Self ◽

Shock Reflection ◽

Wave System ◽

Two Dimensional ◽

Transonic Shock ◽

Self Similar ◽

Nonlinear Wave System

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Numerical solutions to the self-similar transonic two-dimensional nonlinear wave system

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.1350 ◽

2010 ◽

Vol 34 (3) ◽

pp. 249-261 ◽

Author(s):

Eun Heui Kim ◽

Chung-Min Lee

Keyword(s):

Nonlinear Wave ◽

Numerical Solutions ◽

The Self ◽

Wave System ◽

Two Dimensional ◽

Self Similar ◽

Nonlinear Wave System

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Two dimensional Riemann problems for the nonlinear wave system: Rarefaction wave interactions

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2017271 ◽

2017 ◽

Vol 37 (12) ◽

pp. 6257-6289

Author(s):

Eun Heui Kim ◽

◽

Charis Tsikkou ◽

Keyword(s):

Rarefaction Wave ◽

Nonlinear Wave ◽

Wave System ◽

Two Dimensional ◽

Riemann Problems ◽

Wave Interactions ◽

Nonlinear Wave System

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Rarefaction Wave Interaction and Shock-Rarefaction Composite Wave Interaction for a Two-Dimensional Nonlinear Wave System

Chinese Annals of Mathematics Series B ◽

10.1007/s11401-021-0249-6 ◽

2021 ◽

Vol 42 (1) ◽

pp. 135-150

Author(s):

Geng Lai ◽

Sisi Xie

Keyword(s):

Rarefaction Wave ◽

Nonlinear Wave ◽

Wave Interaction ◽

Wave System ◽

Two Dimensional ◽

Composite Wave ◽

Nonlinear Wave System

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On a degenerate boundary value problem to the two-dimensional self-similar nonlinear wave system

Boundary Value Problems ◽

10.1186/s13661-018-1115-7 ◽

2019 ◽

Vol 2019 (1) ◽

Author(s):

Jiajia Liu ◽

Yanbo Hu ◽

Tiehong Zhao

Keyword(s):

Boundary Value Problem ◽

Nonlinear Wave ◽

Boundary Value ◽

Wave System ◽

Two Dimensional ◽

Self Similar ◽

Nonlinear Wave System

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Diffraction of a shock into an expansion wavefront for the transonic self-similar nonlinear wave system in two space dimensions

Journal of Differential Equations ◽

10.1016/j.jde.2015.08.051 ◽

2016 ◽

Vol 260 (1) ◽

pp. 445-477 ◽

Author(s):

Juhi Jang ◽

Eun Heui Kim

Keyword(s):

Nonlinear Wave ◽

Wave System ◽

Two Space Dimensions ◽

Self Similar ◽

Nonlinear Wave System

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Simple Waves and Characteristic Decompositions of the Two-Dimensional Nonlinear Wave System

Pure Mathematics ◽

10.12677/pm.2021.119184 ◽

2021 ◽

Vol 11 (09) ◽

pp. 1657-1664

Author(s):

恬冯

Keyword(s):

Nonlinear Wave ◽

Wave System ◽

Two Dimensional ◽

Simple Waves ◽

Nonlinear Wave System

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Numerical solutions to shock reflection and shock interaction problems for the self-similar transonic two-dimensional nonlinear wave systems

Journal of Computational Science ◽

10.1016/j.jocs.2012.03.007 ◽

2013 ◽

Vol 4 (1-2) ◽

pp. 36-45

Author(s):

Eun Heui Kim ◽

Chung-Min Lee

Keyword(s):

Nonlinear Wave ◽

Numerical Solutions ◽

The Self ◽

Shock Reflection ◽

Shock Interaction ◽

Two Dimensional ◽

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A global subsonic solution to an interacting transonic shock for the self-similar nonlinear wave equation

Journal of Differential Equations ◽

10.1016/j.jde.2010.02.021 ◽

2010 ◽

Vol 248 (12) ◽

pp. 2906-2930 ◽

Author(s):

Eun Heui Kim

Keyword(s):

Wave Equation ◽

Nonlinear Wave ◽

Nonlinear Wave Equation ◽

The Self ◽

Transonic Shock ◽

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