Premium
The existence results for a new 2‐D compressible fluid model with the horizontal thermal gradient effect
Author(s) -
Yang Jiayan,
Liu Ruikuan
Publication year - 2018
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.201700176
Subject(s) - uniqueness , compressibility , temperature gradient , thermal , mechanics , compressible flow , mathematics , physics , conservation law , conservation of mass , mathematical analysis , classical mechanics , thermodynamics , meteorology
Based on the Newton second law, the energy conservation law, the mass conversation law and the equation of state, a new 2‐D model for the motion of fluid flows with the horizontal thermal gradient effect is established. By using the characteristic method, the classic prior estimates and iterative technique, the local existence and uniqueness of strong solution for the new 2‐D model are proved.