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Measure‐valued Solutions of the Euler Equations for Ideal Compressible Polytropic Fluids
Author(s) -
Kröner Dietmar,
Zajaczkowski Wojciech M.
Publication year - 1996
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/(sici)1099-1476(199602)19:3<235::aid-mma772>3.0.co;2-4
Subject(s) - polytropic process , mathematics , euler equations , mathematical analysis , bounded function , semi implicit euler method , measure (data warehouse) , compressibility , domain (mathematical analysis) , euler's formula , limit (mathematics) , compressible flow , ideal gas , boundary value problem , ideal (ethics) , backward euler method , classical mechanics , physics , mechanics , philosophy , epistemology , database , computer science
The existence of global measure‐valued solutions to the Euler equations describing the motion of an ideal compressible and heat conducting fluid is proved. The motion is considered in a bounded domain Ω⊂ℝ 3 with impermeable boundary. The solution is a limit of an approximate solution obtained by adding the sixth‐order elliptic operator in the equation of momentum.