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Mathematics

D-Index
33
Citations
3179
World Ranking
3081
National Ranking
32

Overview

Felipe Linares is affiliated with the Instituto Nacional de Matemática Pura e Aplicada in Brazil. Their research primarily spans Mathematics and Physics and Astronomy, with a focus on mathematical problems related to physical phenomena.

The scientist has contributed extensively to the study of advanced mathematical physics topics. Their work often intersects the fields of Mathematical Physics and Statistical and Nonlinear Physics, with applications in areas such as nonlinear waves and solitons.

Main topics of Felipe Linares' research include:

  • Advanced Mathematical Physics Problems
  • Nonlinear Waves and Solitons
  • Navier-Stokes equation solutions
  • Nonlinear Photonic Systems
  • Spectral Theory in Mathematical Physics
  • Algebraic structures and combinatorial models
  • Advanced Harmonic Analysis Research

Their publications have appeared in various specialized journals and venues where they have an ongoing presence, such as:

  • arXiv (Cornell University)
  • Annales de l Institut Henri Poincaré C Analyse Non Linéaire
  • SIAM Journal on Mathematical Analysis
  • Bulletin of the Brazilian Mathematical Society New Series
  • Vietnam Journal of Mathematics

Selected recent papers authored by Felipe Linares include:

  • "Unique continuation properties for solutions to the Camassa-Holm equation and related models" (2020), published in Proceedings of the American Mathematical Society
  • "The Cauchy problem for the L2-critical generalized Zakharov-Kuznetsov equation in dimension 3" (2021), published in Communications in Partial Differential Equations
  • "Asymptotic Behavior of Solutions of the Dispersion Generalized Benjamin-Ono Equation" (2020), published in Journal of Dynamics and Differential Equations
  • "On Long Time Behavior of Solutions of the Schrödinger--Korteweg--de Vries System" (2021), published in SIAM Journal on Mathematical Analysis

Frequent collaborators include Gustavo Ponce, João P. G. Ramos, Argenis J. Mendez, Didier Pilod, and Christian Klein. These coauthors have worked with Felipe Linares on multiple research projects, contributing to their publication record.

Best Publications

  • Global Existence of Small Solutions for a Generalized Boussinesq Equation

    Unknown

  • The Cauchy Problem for the Euler–Poisson System and Derivation of the Zakharov–Kuznetsov Equation

    David Lannes;Felipe Linares;Jean-Claude Saut

  • Well-Posedness for the Two-Dimensional Modified Zakharov-Kuznetsov Equation

    Unknown

  • Ill-posedness for the derivative Schrödinger and generalized Benjamin-Ono equations

    Unknown

  • On the Davey-Stewartson systems

    Felipe Linares;Gustavo Ponce

  • The Cauchy problem for the 3D Zakharov-Kuznetsov equation

    Felipe Linares;Jean-Claude Saut

  • Well-Posedness for the ZK Equation in a Cylinder and on the Background of a KdV Soliton

    Felipe Linares;Ademir Pastor;Jean-Claude Saut

  • On a Degenerate Zakharov System

    F. Linares;G. Ponce;J-C. Saut

  • Well-posedness for the Schrödinger-Korteweg-de Vries system

    Unknown

  • GLOBAL WELL-POSEDNESS FOR THE MODIFIED KORTEWEG-DE VRIES EQUATION

    German Fonsecal;Felipe Linares;Gustavo Ponce

  • On Whitham and Related Equations

    Christian Klein;Felipe Linares;Didier Pilod;Jean-Claude Saut

  • Asymptotic behavior of solutions of a generalized Boussinesq type equation

    Unknown

  • The IVP for the dispersion generalized Benjamin–Ono equation in weighted Sobolev spaces

    Germán Fonseca;Felipe Linares;Gustavo Ponce

  • Global existence for the critical generalized KdV equation

    G. Fonseca;F. Linares;G. Ponce

  • L2Global Well-Posedness of the Initial Value Problem Associated to the Benjamin Equation

    Unknown

  • Well-posedness Results for the Modified Zakharov-Kuznetsov Equation

    Unknown

  • A higher-order nonlinear Schrödinger equation with variable coefficients

    Unknown

  • Well-Posedness of Strongly Dispersive Two-Dimensional Surface Wave Boussinesq Systems

    Felipe Linares;Didier Pilod;Jean-Claude Saut

  • The supercritical generalized KdV equation: Global well-posedness in the energy space and below

    Luiz Gustavo Farah;Felipe Linares;Ademir Pastor

  • Scaling, stability and singularities for nonlinear, dispersive wave equations: the critical case

    J Angulo;J L Bona;F Linares;M Scialom

  • The Cauchy Problem for the Fractional Kadomtsev--Petviashvili Equations

    Felipe Linares;Didier Pilod;Jean-Claude Saut

  • Remarks on the orbital stability of ground state solutions of fKdV and related equations

    Felipe Linares;Didier Pilod;Jean-Claude Saut

  • Unique continuation properties for solutions to the Camassa-Holm equation and related models

    Felipe Linares;Gustavo Ponce

  • On the Propagation of Regularity and Decay of Solutions to the k-Generalized Korteweg-de Vries Equation

    Pedro Isaza;Felipe Linares;Gustavo Ponce

  • Control and Stabilization of the Benjamin-Ono Equation on a Periodic Domain

    Felipe Linares;Lionel Rosier

  • On the regularity of solutions to a class of nonlinear dispersive equations

    Felipe Linares;Gustavo Ponce;Derek L. Smith

  • On the propagation of regularities in solutions of the Benjamin-Ono equation

    Pedro Isaza;Felipe Linares;Gustavo Ponce

  • On decay properties of solutions of the $k$-generalized KdV equations

    Pedro Isaza;Felipe Linares;Gustavo Ponce

Frequent Co-Authors

Gustavo Ponce
Gustavo Ponce University of California, Santa Barbara
Jean-Claude Saut
Jean-Claude Saut University of Paris-Saclay
Lionel Rosier
Lionel Rosier PSL University
James D. Wright
James D. Wright Rutgers, The State University of New Jersey
Carlos E. Kenig
Carlos E. Kenig University of Chicago
Nikolay Tzvetkov
Nikolay Tzvetkov École Normale Supérieure de Lyon
Luis Vega
Luis Vega University of the Basque Country

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