## THERMAL SCIENCE

International Scientific Journal

### GLOBAL WELL-POSEDNESS OF A CLASS OF DISSIPATIVE THERMOELASTIC FLUIDS BASED ON FRACTAL THEORY AND THERMAL SCIENCE ANALYSIS

**ABSTRACT**

Thermodynamics and fluid mechanics are used to study the mechanical properties of a class of thermoelastic fluid materials. Using the law of thermodynamics and the law of conservation of energy, thermal science analysis of dissipative thermoelastic fluid materials is performed in a planar 2-D flow field, and a corresponding mathematical model is established. Fractal theory, operator semi-group theory and fractional calculus are used to study the overall well-posedness of a dissipative thermoelastic flow.

**KEYWORDS**

PAPER SUBMITTED: 2018-05-01

PAPER REVISED: 2018-11-23

PAPER ACCEPTED: 2018-11-23

PUBLISHED ONLINE: 2019-09-14

**THERMAL SCIENCE** YEAR

**2019**, VOLUME

**23**, ISSUE

**4**, PAGES [2461 - 2469]

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