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Mathematics

D-Index
49
Citations
7433
World Ranking
1165
National Ranking
59

Overview

Nikolay Tzvetkov is affiliated with the École Normale Supérieure de Lyon in France. Their research portfolio spans multiple disciplines, with a primary focus in Medicine and Mathematics. The subfields contributing to their work include Mathematical Physics, Molecular Biology, Applied Mathematics, Pharmacology, and Hematology.

Their research covers a diverse range of main topics, including:

  • Advanced Mathematical Physics Problems
  • Stability and Controllability of Differential Equations
  • Black Holes and Theoretical Physics
  • Navier-Stokes equation solutions
  • Nonlinear Waves and Solitons
  • Phytochemicals and Antioxidant Activities
  • Stochastic processes and financial applications

Tzvetkov has contributed to journals and publication venues such as:

  • arXiv (Cornell University)
  • Current Research in Biotechnology
  • Frontiers in Pharmacology
  • Zeitschrift für Kristallographie - New Crystal Structures
  • Animal Science Papers and Reports

Their recent notable papers include:

  • "Natural products in drug discovery: advances and opportunities," 2021, published in Nature Reviews Drug Discovery
  • "Reactive Oxygen Species and Their Impact in Neurodegenerative Diseases: Literature Landscape Analysis," 2020, published in Antioxidants and Redox Signaling
  • "Randomized phase 2 trial of pevonedistat plus azacitidine versus azacitidine for higher-risk MDS/CMML or low-blast AML," 2021, published in Leukemia
  • "Lignans: Quantitative Analysis of the Research Literature," 2020, published in Frontiers in Pharmacology
  • "Natural products in diabetes research: quantitative literature analysis," 2020, published in Natural Product Research

Frequent collaborators in Tzvetkov's research include Atanas G. Atanasov, Luigi Milella, Jarosław Olav Horbańczuk, Maima Matin, and Maya G. Georgieva. This network of collaborators reflects interdisciplinary efforts intersecting pharmacology, biotechnology, and mathematical sciences.

Best Publications

  • Strichartz inequalities and the nonlinear Schrödinger equation on compact manifolds

    Nicolas Burq;P Gerard;N Tzvetkov

  • Random data Cauchy theory for supercritical wave equations I: local theory

    Nicolas Burq;Nicolas Burq;Nikolay Tzvetkov

  • Ill-Posedness Issues for the Benjamin--Ono and Related Equations

    Luc Molinet;Jean-Claude Saut;Nikolay Tzvetkov

  • Random data Cauchy theory for supercritical wave equations II: a global existence result

    Nicolas Burq;Nicolas Burq;Nikolay Tzvetkov

  • Bilinear eigenfunction estimates and the nonlinear Schrödinger equation on surfaces

    N. Burq;P. Gérard;N. Tzvetkov

  • Sharp well-posedness results for the BBM equation

    Jerry Bona;Nikolay Tzvetkov

  • An instability property of the nonlinear Schrödinger equation on $S^{d}$

    N. Burq;P. Gerard;N. Tzvetkov

  • Restrictions of the Laplace-Beltrami eigenfunctions to submanifolds

    N. Burq;P. Gérard;N. Tzvetkov

  • Well-posedness and ill-posedness results for the Kadomtsev-Petviashvili-I equation

    L. Molinet;J.-C. Saut;N. Tzvetkov

  • Nonlinear wave interactions for the Benjamin-Ono equation.

    Herbert Koch;Nikolay Tzvetkov

  • Invariant measures for the defocusing Nonlinear Schrödinger equation

    Nikolay Tzvetkov

  • Probabilistic well-posedness for the cubic wave equation

    Nicolas Burq;Nikolay Tzvetkov

  • On nonlinear Schrödinger equations in exterior domains

    N Burq;P Gérard;N Tzvetkov

  • Multilinear eigenfunction estimates and global existence for the three dimensional nonlinear Schrödinger equations

    Nicolas Burq;Patrick Gérard;Nikolay Tzvetkov

  • Global well-posedness of the energy critical Nonlinear Schr"odinger equation with small initial data in H^1(T^3)

    Sebastian Herr;Daniel Tataru;Nikolay Tzvetkov

  • Modified scattering for the cubic Schrödinger equation on product spaces and applications

    Zaher Hani;Benoit Pausader;Nikolay Tzvetkov;Nicola Visciglia

  • Construction of a Gibbs measure associated to the periodic Benjamin-Ono equation

    N. Tzvetkov

  • Long time dynamics for the one dimensional non linear Schrödinger equation

    Nicolas Burq;Laurent Thomann;Nikolay Tzvetkov

  • Transverse nonlinear instability for two-dimensional dispersive models

    Frédéric Rousset;Nikolay Tzvetkov

  • Global well-posedness for the KP-I equation

    L. Molinet;J.C. Saut;N. Tzvetkov

Frequent Co-Authors

Nicolas Burq
Nicolas Burq University of Paris-Saclay
Frédéric Rousset
Frédéric Rousset University of Paris-Saclay
Jean-Claude Saut
Jean-Claude Saut University of Paris-Saclay
Luc Molinet
Luc Molinet François Rabelais University
Fabrice Planchon
Fabrice Planchon Sorbonne University
Susanna Terracini
Susanna Terracini University of Turin

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