Vanishing viscosity limit of the 3D incompressible Oldroyd-B model

  • Ruizhao Zi

    School of Mathematics and Statistics & Hubei Key Laboratory of Mathematical Sciences, Central China Normal University, Wuhan 430079, PR China
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Abstract

Consider the vanishing viscosity limit of the 3D incompressible Oldroyd-B model. It is shown that this set of equations admits a unique global solution with small analytic data uniformly in the coupling parameter close to that corresponds to the inviscid case. We justify the limit from the Oldroyd-B model to the inviscid case for all time. Moreover, if the nonlinear term is ignored, similar results hold without resorting to the analytic regularity.

Cite this article

Ruizhao Zi, Vanishing viscosity limit of the 3D incompressible Oldroyd-B model. Ann. Inst. H. Poincaré Anal. Non Linéaire 38 (2021), no. 6, pp. 1841–1867

DOI 10.1016/J.ANIHPC.2021.02.003