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Global solution to the ideal compressible heat conductive multipolar fluid. (English) Zbl 0702.35205
The authors consider an ideal heat conductive, viscous, compressible multipolar flow (polarity $$k\geq 4)$$. They include higher order stress tensors so that the Navier-Stokes equations are of order 2k. The relation between stress tensors and derivatives of the velocity are assumed to be linear. They prove global solvability, uniqueness and regularity of the solution.
Reviewer: R.Sperb

##### MSC:
 35Q35 PDEs in connection with fluid mechanics 76N10 Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics