7 citations · 22 across the 24 of their papers we have counts for
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The generalized Buckley-Leverett System. Solvability
Nikolai Chemetov, Wladimir Neves
We propose a new approach to the mathematical modeling of the Buckley- Leverett system, which describes two-phase flows in porous media. Considering the initial-boundary value prob…
Optimal boundary holes for the Sobolev trace constant
Leandro Del Pezzo, Julian Fernandez Bonder, Wladimir Neves
In this paper we study the problem of minimizing the Sobolev trace Rayleigh quotient among functions that vanish in a set containe…
The Hardy and Caffarelli-Kohn-Nirenberg Inequalities Revisited
Aldo Bazan, Wladimir Neves
In this paper some important inequalities are revisited. First, as motivation, we give another proof of the Hardy's inequality applying convenient vector fields as introduced by Mi…
Operators that achieve the norm
Xavier Carvajal, Wladimir Neves
In this paper we study the theory of operators on complex Hilbert spaces, which achieve the norm in the unit sphere. We prove important results concerning the characterization of t…
Well-posedness of the Cauchy Problem on Torus to Electromagnetoelastic System
Wladimir Neves, Viatcheslav Priimenko, Mikhail Vishnevskii
We prove the well-posedness of the Cauchy problem on torus to an eletromagnetoelastic system. The physical model consists of three coupled partial differential equations, one of th…
Persistence of solutions to higher order nonlinear Schrödinger equation
Xavier Carvajal, Wladimir Neves
Applying an Abstract Interpolation Lemma, we can show persistence of solutions of the initial value problem to higher order nonlinear Schrödinger equation, also called Airy-Schrödi…
A geometric approach to error estimates for conservation laws posed on a spacetime
Paulo Amorim, Philippe G. LeFloch, Wladimir Neves
We consider a hyperbolic conservation law posed on an (N+1)-dimensional spacetime, whose flux is a field of differential forms of degree N. Generalizing the classical Kuznetsov's m…