TY - JOUR TI - Global well-posedness of a class of dissipative thermoelastic fluids based on fractal theory and thermal science analysis AU - Deng Shuxian AU - Li Huixu AU - Ge Xinxin JN - Thermal Science PY - 2019 VL - 23 IS - 4 SP - 2461 EP - 2469 PT - Article AB - 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.