4 citations · 4 across the 4 of their papers we have counts for
4 papers
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…
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…
Decay Estimates for Solutions of Porous Medium Equations with Advection
Nicolau Matiel Lunardi Diehl, Lucineia Fabris, Juliana Sartori Ziebell
In this paper, we show that bounded weak solutions of the Cauchy problem for general degenerate parabolic equations of the form \begin{equation} \notag u_t \,+\; \mbox{div}\,f(x,t,…
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…