Global Well-Posedness and Vanishing Normal Stress Coefficients for the Hydrostatic Second-Grade Fluid Equations

.The present paper is devoted to investigating the second-grade fluid system in a strip domain \({ R}× T\). We obtain the global well-posedness result with small analytic initial datum and justify the limit strictly from the hydrostatic second-grade fluid system to the hydrostatic Navier–Stokes system.Keywordshydrostatic approximationsecond-grade fluid systemglobal well-posednessradius of analyticityMSC codes35Q3576A10