3 papers
physics.flu-dyn2026
A One-Dimensional Integral Equation for a Porous Horizontal Disc under Water Waves
Luiz Fernando de Moraes Campos Filho, Leandro Farina, Juliana Sartori Ziebell
Wave scattering by a thin, porous circular plate submerged in deep water is investigated. The problem is formulated as a second-kind hypersingular Fredholm integral equation over t…
physics.ao-ph2020
Spatio-temporal regularization of global ocean waves obtained from satellite and their graphical representation
Heitor Perotto, Leandro Farina, Nelson Violante-Carvalho
An algorithm for representing irregular satellite data obtained from advanced synthetic aperture radar (ASAR) uniformly in space and time is introduced and comparison with WAVEWATC…
math-ph2020
Love--Lieb integral equations: applications, theory, approximations, and computation
Leandro Farina, Guillaume Lang, P. A. Martin
This paper is concerned mainly with the deceptively simple integral equation \[ u(x) - \frac{1}π\int_{-1}^{1} \frac{α\, u(y)}{α^2+(x-y)^2} \, \rd y = 1, \quad -1 \leq x \leq 1, \]…