In this work, we discuss the existence of simple waves for the two-dimensional compressible magnetohydrodynamics equations with extended Chaplygin gas. We use the sufficient conditions for the existence of characteristic decompositions to a general quasilinear strictly hyperbolic system and we are able to establish that there must be a simple wave adjacent to a constant state to the above considered system.
机构:
Yunnan Univ, Dept Math, Kunming 650091, Peoples R ChinaYunnan Univ, Dept Math, Kunming 650091, Peoples R China
Wang, Qin
Song, Kyungwoo
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Kyung Hee Univ, Dept Math, Seoul 130701, South Korea
Kyung Hee Univ, Res Inst Basic Sci, Seoul 130701, South KoreaYunnan Univ, Dept Math, Kunming 650091, Peoples R China
机构:
Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
China Univ Petr, Dept Math, Qingdao 266555, Peoples R ChinaShanghai Univ, Dept Math, Shanghai 200444, Peoples R China
Ge, Ju
Sheng, Wancheng
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Shanghai Univ, Dept Math, Shanghai 200444, Peoples R ChinaShanghai Univ, Dept Math, Shanghai 200444, Peoples R China
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Banaras Hindu Univ, Indian Inst Technol, Dept Math Sci, Varanasi 221005, Uttar Pradesh, IndiaBanaras Hindu Univ, Indian Inst Technol, Dept Math Sci, Varanasi 221005, Uttar Pradesh, India