Article ID Journal Published Year Pages File Type
7051129 European Journal of Mechanics - B/Fluids 2018 16 Pages PDF
Abstract
The compressible Euler equations are fundamental models in the study of fluids, plasmas, condensed matter and atmospheric dynamics. In this paper, we analyze the blowup phenomena of the weakened regular solutions (ρ,u→) and the C1 solutions for γ≥2 of the Euler equations in RN in an initial bounded region Ω(0). If maxx→0∈∂Ω̄(0)∑Ni=1ui2(0,x→0)0 is the total mass, then the corresponding solutions blow up in finite time. Our blowup development for the free boundary value problem partially complements the result for the fixed boundary problem (Makino et al. 1986).
Related Topics
Physical Sciences and Engineering Chemical Engineering Fluid Flow and Transfer Processes
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