TITLE

Shape optimization in two-dimensional viscous compressible fluids

AUTHOR(S)
Zhong Tan; Ying Hui Zhang
PUB. DATE
September 2010
SOURCE
Acta Mathematica Sinica;Sep2010, Vol. 26 Issue 9, p1793
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
We present a method for solving the optimal shape problems for profiles surrounded by viscous compressible fluids in two space dimensions. The class of admissible profiles is quite general including the minimal volume condition and a constraint on the thickness of the boundary. The fluid flow is modelled by the Navier-Stokes system for a general viscous barotropic fluid with the pressure satisfying p(ϱ) = aϱlog d(ϱ) for large ϱ. Here d > 1 and a > 0.
ACCESSION #
52837143

 

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