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Mathematics

D-Index
39
Citations
5123
World Ranking
2239
National Ranking
943

Research.com Recognitions

  • 2010 - Fellow of Alfred P. Sloan Foundation

Overview

Monica Visan is affiliated with the University of California, Los Angeles in the United States. Their research primarily spans the fields of Physics and Astronomy as well as Mathematics, with a notable focus on subfields such as Statistical and Nonlinear Physics, Mathematical Physics, Atomic and Molecular Physics and Optics, Applied Mathematics, and Nuclear and High Energy Physics.

The main topics covered in Monica Visan's work include:

  • Advanced Mathematical Physics Problems
  • Nonlinear Waves and Solitons
  • Nonlinear Photonic Systems
  • Black Holes and Theoretical Physics
  • Navier-Stokes equation solutions
  • Seismic Imaging and Inversion Techniques
  • Quantum Mechanics and Non-Hermitian Physics

Monica Visan has been published frequently in several venues, including:

  • arXiv (Cornell University)
  • Nonlinearity
  • Pure and Applied Analysis
  • Inventiones mathematicae
  • SIAM Journal on Mathematical Analysis

Their recent papers include:

  • "Sharp well-posedness for the Benjamin-Ono equation" (2024) published in Inventiones mathematicae
  • "On the well-posedness problem for the derivativenonlinear Schrödinger equation" (2023) published in Analysis & PDE
  • "Global Well-Posedness for the Fifth-Order KdV Equation in H-1(ℝ)" (2021) published in Annals of PDE
  • "Sharp well-posedness for the cubic NLS and mKdV in" (2024) published in Forum of Mathematics Pi
  • "Scattering for the Cubic-Quintic NLS: Crossing the Virial Threshold" (2021) published in SIAM Journal on Mathematical Analysis

Monica Visan has collaborated extensively with several researchers. Their frequent co-authors include Rowan Killip, Benjamin Harrop-Griffiths, Jason Murphy, Thierry Laurens, and Maria Ntekoume.

Among awards received, Monica Visan is recognized as a Fellow of the Alfred P. Sloan Foundation since 2010.

Best Publications

  • The Nonlinear Schrödinger Equation with Combined Power-Type Nonlinearities

    Terence Tao;Monica Visan;Xiaoyi Zhang

  • Global well-posedness and scattering for the defocusing energy-critical nonlinear Schrödinger equation in R1+4

    E. Ryckman;Monica Visan

  • The defocusing energy-critical nonlinear Schrödinger equation in higher dimensions

    Monica Visan

  • The cubic nonlinear Schrödinger equation in two dimensions with radial data

    Rowan Killip;Terence Tao;Monica Visan

  • The focusing energy-critical nonlinear Schrödinger equation in dimensions five and higher

    Rowan Killip;Monica Visan

  • STABILITY OF ENERGY-CRITICAL NONLINEAR SCHR¨ ODINGER EQUATIONS IN HIGH DIMENSIONS

    Terence Tao;Monica Visan

  • Global well-posedness and scattering for the defocusing mass-critical nonlinear Schrödinger equation for radial data in high dimensions

    Terence Tao;Monica Visan;Xiaoyi Zhang

  • Minimal-mass blowup solutions of the mass-critical NLS

    Terence Tao;Monica Visan;Xiaoyi Zhang

  • THE MASS-CRITICAL NONLINEAR SCHRÖDINGER EQUATION WITH RADIAL DATA IN DIMENSIONS THREE AND HIGHER

    Rowan Killip;Monica Visan;Xiaoyi Zhang

  • Solitons and Scattering for the Cubic–Quintic Nonlinear Schrödinger Equation on $${\mathbb{R}^3}$$ R 3

    Rowan Killip;Tadahiro Oh;Oana Pocovnicu;Monica Vişan

  • KdV is well-posed in $H^{-1}$

    Rowan Killip;Monica Vişan

  • The mass-critical nonlinear Schr"odinger equation with radial data in dimensions three and higher

    Rowan Killip;Monica Visan;Xiaoyi Zhang

  • The defocusing energy-critical nonlinear Schr"odinger equation in higher dimensions

    Monica Visan

  • Dispersive Equations and Nonlinear Waves

    Herbert Koch;Daniel Tataru;Monica Vişan

  • The defocusing energy-supercritical nonlinear wave equation in three space dimensions

    Rowan Killip;Monica Visan

  • Low regularity conservation laws for integrable PDE

    Rowan Killip;Monica Vişan;Xiaoyi Zhang

  • Sobolev spaces adapted to the Schrödinger operator with inverse-square potential

    R. Killip;C. Miao;M. Visan;J. Zhang

  • Energy-Supercritical NLS: Critical [Hdot] s -Bounds Imply Scattering

    Rowan Killip;Monica Visan

  • The radial defocusing energy-supercritical nonlinear wave equation in all space dimensions

    Rowan Killip;Monica Visan

  • On the mass-critical generalized KdV equation

    Rowan Killip;Soonsik Kwon;Shuanglin Shao;Monica Visan

  • The nonlinear Schr"odinger equation with combined power-type nonlinearities

    Terence Tao;Monica Visan;Xiaoyi Zhang

  • Sobolev spaces adapted to the Schr"odinger operator with inverse-square potential

    R. Killip;C. Miao;M. Visan;J. Zhang

Frequent Co-Authors

Rowan Killip
Rowan Killip University of California, Los Angeles
Daniel Tataru
Daniel Tataru University of California, Berkeley
Terence Tao
Terence Tao University of California, Los Angeles
Changxing Miao
Changxing Miao Institute of Applied Physics and Computational Mathematics
James Colliander
James Colliander University of British Columbia

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