Weak-strong uniqueness and vanishing viscosity for incompressible Euler equations in exponential spaces

In the class of admissible weak solutions, we prove a weak-strong uniqueness result for the incom-pressible Euler equations assuming that the symmetric part of the gradient belongs to Lac([0, +infinity); Lexp(Rd ; Rdxd)), where Lexp denotes the Orlicz space of exponentially integrable functions. Moreover, under the same assumptions on the limit solution to the Euler system, we obtain the convergence of vanishing-viscosity Leray-Hopf weak solutions of the Navier-Stokes equations.(c) 2023 Elsevier Inc. All rights reserved.