7 citations · 22 across the 24 of their papers we have counts for
24 papers · 1 filter
Dirichlet Problem for Degenerate Fractional Parabolic Hyperbolic Equations
Gerardo Huaroto, Wladimir Neves
We are concerned in this paper with the degenerate fractional diffusion advection equations posed in bounded domains. Due to a suitable formulation, we show the existence of weak e…
On a study and applications of the Concentration-compactness type principle for Systems with critical terms in
L. M. M. Bonaldo, E. J. Hurtado, W. Neves
In this paper, we obtain some important variants of the Lions and Chabrowski Concentration-compactness principle, in the context of fractional Sobolev spaces with variable exponent…
On Fractional Benney Type Systems
Wladimir Neves, Dionicio Orlando
This paper introduces fractional type evolutionary equations modeling the interaction between short waves and long waves. We consider a fractional Benney type system, which is give…
On a Characterization of the Rellich-Kondrachov Theorem on Groups
Vernny Ccajma, Wladimir Neves, Jean Silva
Motivated by an eigenvalue-eigenfunction problem posed in IR^n x Ω, where Ω is a probability space, we are concerned in this paper with the Sobolev space on groups. Hence it is est…
Solvability of the Fractional Hyperbolic Keller-Segel System
Gerardo Huaroto, Wladimir Neves
We study a new nonlocal approach to the mathematical modelling of the Chemotaxis problem, which describes the random motion of a certain population due a substance concentration. C…
Initial mixed-boundary value problem for anisotropic fractional degenerate parabolic equations
Gerardo Huaroto, Wladimir Neves
We consider an initial mixed-boundary value problem for anisotropic fractional type degenerate parabolic equations posed in bounded domains. Namely, we consider that the boundary o…
Stochastic transport equations with unbounded divergence
Wladimir Neves, Christian Olivera
We study in this article the existence and uniqueness of solutions to a class of stochastic transport equations with irregular coefficients and unbounded divergence. In the first r…
Homogenization of Schrodinger equations. Extended Effective Mass Theorems for non-crystalline matter
Vernny Ccajma, Wladimir Neves, Jean Silva
This paper concerns the homogenization of Schrodinger equations for non-crystalline matter, that is to say the coefficients are given by the composition of stationary functions wit…
Flows generated by divergence free vector fields with compact support
Olivier Kneuss, Wladimir Neves
We are concerned with the theory of existence and uniqueness of flows generated by divergence free vector fields with compact support. Hence, assuming that the velocity vector fiel…
Stochastic transport equation in bounded domains
Wladimir Neves, Christian Olivera
This paper is concerned with the initial-boundary value problem \; for stochastic transport equations in bounded domains. For a given stochastic perturbation of the drift vector fi…
The obstacle-mass constraint problem for hyperbolic conservation laws. Solvability
Paulo Amorim, Wladimir Neves, José Francisco Rodrigues
In this work we introduce the obstacle-mass constraint problem for a multidimensional scalar hyperbolic conservation law. We prove existence of an entropy solution to this problem…
On a generalized Muskat type problem
Nicolai Chemetov, Wladimir Neves
We show the solvability of a multidimensional Muskat type initial boundary value problem. The proposed mathematical model describing the transport phenomena of non-homogeneous flow…
Wellposedness for stochastic continuity equations with Ladyzhenskaya-Prodi-Serrin condition
Wladimir Neves, Christian Olivera
We consider the stochastic divergence-free continuity equations with Ladyzhenskaya-Prodi-Serrin condition. Wellposedness is proved meanwhile uniqueness may fail for the determinist…
The global solvability of initial-boundary value problem for nondiagonal parabolic systems
Wladimir Neves, Mikhail Vishnevskii
In this paper we study the quasilinear nondiagonal parabolic type systems. We assume that the principal elliptic operator, which is part of the parabolic system, has a divergence s…
Multi-Time Systems of Conservation Laws
Aldo Bazan, Paola Loreti, Wladimir Neves
Motivated by the work of P.L. Lions and J-C. Rochet [12], concerning multi-time Hamilton-Jacobi equations, we introduce the theory of multi-time systems of conservation laws. We sh…
A scaling approach to Caffarelli-Kohn-Nirenberg inequality
Aldo Bazan, Wladimir Neves
We mainly consider the general Caffarelli-Kohn-Nirenberg inequality in the Euclidean and Riemannian setting. In both cases, our proof relies mostly on a new parameter s convenientl…
Persistence property in weighted Sobolev spaces for nonlinear dispersive equations
Xavier Carvajal, Wladimir Neves
We generalize the Abstract Interpolation Lemma proved by the authors in [2]. Using this extension, we show in a more general context, the persistence property for the generalized K…
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…
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…
Hyperbolic conservation laws on manifolds. Error estimate for finite volume schemes
Philippe G. LeFloch, Wladimir Neves, Baver Okutmustur
Following Ben-Artzi and LeFloch, we consider nonlinear hyperbolic conservation laws posed on a Riemannian manifold, and we establish an L1-error estimate for a class of finite volu…