The existence results for a new 2‐D compressible fluid model with the horizontal thermal gradient effect. Issue 8 (1st May 2018)

• Record Type: Journal Article
• Authors: Yang, Jiayan; Liu, Ruikuan
• Is Part Of: Zeitschrift für angewandte Mathematik und Mechanik. Volume 98:Issue 8(2018)
• Page Start: 1302
• Page End: 1319
• Publication Date: 2018-05-01
• Subjects: compressible Navier‐Stokes equations -- existence and uniqueness -- heat conducting -- horizontal thermal gradient effect -- strong solution -- 76N10 -- 35Q30 -- 35D05; Mathematics -- Periodicals; Mechanics, Applied -- Periodicals; Engineering -- Periodicals; 519
• DOI: 10.1002/zamm.201700176
• Languages: English
• ISSNs: 0044-2267

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. 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.