Time-asymptotics of physical vacuum free boundaries for compressible inviscid flows with damping
نویسندگان
چکیده
In this paper, we prove the leading term of time-asymptotics moving vacuum boundary for compressible inviscid flows with damping to be that Barenblatt self-similar solutions corresponding porous media equations obtained by simplifying momentum via Darcy’s law plus possible shift due movement center mass, in one-dimensional and three-dimensional spherically symmetric motions, respectively. This gives a complete description large time asymptotic behavior free problems. The results work are first ones concerning physical boundaries fluids, best our knowledge.
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ژورنال
عنوان ژورنال: Calculus of Variations and Partial Differential Equations
سال: 2022
ISSN: ['0944-2669', '1432-0835']
DOI: https://doi.org/10.1007/s00526-021-02161-9