Title: The existence results for a new 2‐D compressible fluid model with the horizontal thermal gradient effect.
Authors: Yang, Jiayan; Liu, Ruikuan
Abstract: Abstract: 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.
Subjects: COMPRESSIBLE flow; ENERGY conservation laws; EQUATIONS of state; ITERATIVE methods (Mathematics); THERMAL analysis; NEWTON'S second law of motion
Publication: ZAMM -- Journal of Applied Mathematics & Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 2018, Vol 98, Issue 8, p1302
ISSN: 0044-2267
Publication type: Academic Journal
DOI: 10.1002/zamm.201700176

The existence results for a new 2‐D compressible fluid model with the horizontal thermal gradient effect.

Yang, Jiayan; Liu, Ruikuan