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Blowup of solutions for the initial boundary value problem of the 3‐dimensional compressible damped Euler equations
Author(s) -
Cheung Ka Luen
Publication year - 2018
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/mma.4928
Subject(s) - euler equations , mathematics , boundary value problem , compressibility , mathematical analysis , semi implicit euler method , euler's formula , backward euler method , initial value problem , euler method , compressible flow , class (philosophy) , function (biology) , mechanics , physics , artificial intelligence , computer science , evolutionary biology , biology
The blowup phenomenon of solutions is investigated for the initial boundary value problem of the 3‐dimensional compressible damped Euler equations. It is shown that if the initial functional associated with a general test function is large enough, the solutions of the damped Euler equations will blow up on finite time. Hence, a class of blowup conditions is established. Moreover, the blowup time could be estimated.