71 citations · 278 across the 57 of their papers we have counts for
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The primitive equations of the atmosphere in presence of vapor saturation
Michele Coti Zelati, Aimin Huang, Igor Kukavica +2
A modification of the classical primitive equations of the atmosphere is considered in order to take into account important phase transition phenomena due to air saturation and con…
On the inviscid limit of the Navier-Stokes equations
Peter Constantin, Igor Kukavica, Vlad Vicol
We consider the convergence in the norm, uniformly in time, of the Navier-Stokes equations with Dirichlet boundary conditions to the Euler equations with slip boundary condit…
On the local well-posedness of the Prandtl and the hydrostatic Euler equations with multiple monotonicity regions
Igor Kukavica, Nader Masmoudi, Vlad Vicol +1
We find a new class of data for which the Prandtl boundary layer equations and the hydrostatic Euler equations are locally in time well-posed. In the case of the Prandtl equations,…