Hausdorff Dimension of Concentration for Isentropic Compressible Navier–Stokes Equations
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
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Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 375–416 |
| Journal / Publication | Archive for Rational Mechanics and Analysis |
| Volume | 234 |
| Issue number | 1 |
| Online published | 23 Apr 2019 |
| Publication status | Published - Oct 2019 |
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Abstract
The concentration phenomenon of the kinetic energy, ρ |u|2, associated to isentropic compressible Navier–Stokes equations, is addressed in Rn with n = 2, 3 and the adiabatic constant γ ∈ [1, n/2]. Except for a space-time set with a Hausdorff dimension of less than or equal to Γ(n) + 1 with
Γ(n) = max {γ(n), n - (nγ/(γ(n) + 1)} and γ(n) = (n(n - 1) - nγ)/(n - γ),
no concentration phenomenon occurs.
Γ(n) = max {γ(n), n - (nγ/(γ(n) + 1)} and γ(n) = (n(n - 1) - nγ)/(n - γ),
no concentration phenomenon occurs.
Citation Format(s)
Hausdorff Dimension of Concentration for Isentropic Compressible Navier–Stokes Equations. / HU, Xianpeng.
In: Archive for Rational Mechanics and Analysis, Vol. 234, No. 1, 10.2019, p. 375–416.
In: Archive for Rational Mechanics and Analysis, Vol. 234, No. 1, 10.2019, p. 375–416.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
