Some qualitative properties of the viscous compressible heat conductive multipolar fluid

Journal Article · Tue Jan 01 00:00:00 EST 1991 · Communications in Partial Differential Equations; (United States)

DOI:https://doi.org/10.1080/03605309108820757· OSTI ID:5436400

Necas, J ^[1]; Novotny, A

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1. Charles Univ. (Czechoslovakia)

This paper has been devoted to the solvability of the initial boundary value problem in bounded domains in two or three dimensions to the evolution equations of viscous multipolar compressible heat conductive fluid. Physical background to this problem is discussed in ref. 6. They were able to prove solvability for the polarity k {>=} 4. They will generalize these results to the case k {>=} 3. They will use the same method. The crucial point is a more detailed study of the characteristics to the continuity equation, which makes it possible to improve estimates of the density and consequently to prove existence of strong solutions. Further they deal with the uniqueness of these solutions. In the last section they derive some important estimates, energy and entropy estimates included, which has to be fulfilled by any solution.

• OSTI ID: 5436400
• Journal Information: Communications in Partial Differential Equations; (United States), Vol. 16:2-3; ISSN 0360-5302
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
HEAT TRANSFER FLUIDS
THERMODYNAMIC PROPERTIES
BOUNDARY-VALUE PROBLEMS
CALCULATION METHODS
DENSITY
ENTROPY
EQUATIONS OF STATE
TENSORS
THREE-DIMENSIONAL CALCULATIONS
TWO-DIMENSIONAL CALCULATIONS
VISCOSITY
EQUATIONS
FLUIDS
PHYSICAL PROPERTIES
665000* - Physics of Condensed Matter- (1992-)