M
Marco Sammartino
Researcher at University of Palermo
Publications - 93
Citations - 2676
Marco Sammartino is an academic researcher from University of Palermo. The author has contributed to research in topics: Boundary layer & Prandtl number. The author has an hindex of 23, co-authored 90 publications receiving 2332 citations. Previous affiliations of Marco Sammartino include University of California, Los Angeles.
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Zero Viscosity Limit for Analytic Solutions, of the Navier-Stokes Equation on a Half-Space.I. Existence for Euler and Prandtl Equations
TL;DR: In this article, the authors prove short time existence theorems for the Euler and Prandtl equations with analytic initial data in either two or three spatial dimensions, using abstract Cauchy-Kowalewski theorem.
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Zero Viscosity Limit for Analytic Solutions of the Navier-Stokes Equation on a Half-Space. II. Construction of the Navier-Stokes Solution
TL;DR: In this article, the Navier-Stokes solution is constructed through a composite asymptotic expansion involving the solutions of the Euler and Prandtl equations, plus an error term.
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Well-Posedness of the Boundary Layer Equations
TL;DR: The short time existence and the uniqueness of the solution in the proper function space are proved by applying the abstract Cauchy--Kowalewski theorem to the boundary layer equations once the convection-diffusion operator is explicitly inverted.
Pattern formation driven by cross–diffusion in a 2D domain
TL;DR: In this paper, the authors investigated the process of pattern formation in a two dimensional domain for a reaction-diffusion system with nonlinear diffusion terms and the competitive Lotka-Volterra kinetics.