Liouville-type theorems for stationary Navier–Stokes equations with Lebesgue spaces of variable exponent

Key Points

• Weak solutions exhibit uniqueness under specific conditions on velocity fields, contributing to the understanding of fluid dynamics.
• This work establishes connections to traditional spaces like morrey and bmo^-1, emphasizing the role of variable exponent lebesgue spaces.
• The approach involves analyzing stationary 3D navier-stokes equations with a flexible framework for variable exponents.
• Findings suggest that variable exponent spaces may broaden the scope of solutions for complex fluid behavior.