Well-posedness of initial value problem for Euler equations of inviscid compressible adiabatic fluid
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The well-posedness of the initial value problem of the Euler equations was mainly discussed based on the stratification theory, and the necessary and sufficient conditions of well-posedness are presented for some representative initial or boundary value problem, thus the structure of solution space for local (exact) solution of the Euler equations is determined. Moreover the computation formulas of the analytical solution of the well-posed problem are also given.
Key wordsEuler equation initial or boundary value problem well-posedness stratification theory
Chinese Library ClassificationO175.29
2000 Mathematics Subject Classification35A27
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