On Weak Solvability for the Navier–Stokes–Voigt Thermal Model with Nonlinear Viscosity Coefficient

Key Points

• This research aims to explore the existence of weak solutions for a specific fluid model involving nonlinear viscosity.
• Studied an initial–boundary value problem for a Navier–Stokes–Voigt fluid model.
• Considered nonlinear viscosity and temperature impact in the model.
• Employed topological approximation approaches along with an iterative process for proof.
• Demonstrated the existence of weak solutions under the considered model.
• Showed that incorporating nonlinear viscosity affects fluid behavior.
• Highlighted the role of energy balance in the equations governing fluid motion.

Abstract