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…
math.AP2026
Weakly nonlinear models for hydroelastic water waves
Diego Alonso-Orán, Rafael Granero-Belinchón, Juliana S. Ziebell
In this work, we derive reduced interface models for hydroelastic water waves coupled to a nonlinear viscoelastic plate. In a weakly nonlinear small-steepness regime we obtain bidi…
math.AP2015
On the Blow-up Criterion of Magnetohydrodynamics Equations in Homogeneous Sobolev Spaces
Diego Marcon, Wilberclay G. Melo, Lineia Schutz +1
In this paper, we obtain new lower bounds on the Homogeneous Sobolev--norms of the maximal solution of the Magnetohydrodynamics Equations. This gives us some insight on the blow-up…