World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
53
Citations
15161
World Ranking
886
National Ranking
425

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society

Overview

Gustavo Ponce is affiliated with the University of California, Santa Barbara in the United States. Their research primarily spans the fields of Mathematics and Physics and Astronomy, with significant contributions in areas such as Mathematical Physics, Statistical and Nonlinear Physics, and Geometry and Topology.

The scientist's research focuses on advanced mathematical physics problems, particularly in nonlinear waves and solitons, nonlinear photonic systems, and spectral theory in mathematical physics. Their interests also include algebraic structures, combinatorial models, and numerical methods applied to inverse problems.

Frequent publication venues for Gustavo Ponce include:

  • arXiv (Cornell University)
  • Vietnam Journal of Mathematics
  • Proceedings of the American Mathematical Society
  • Journal of Cleaner Production
  • SIAM Journal on Mathematical Analysis

Notable recent papers by Gustavo Ponce include:

  • Unique continuation properties for solutions to the Camassa-Holm equation and related models, 2020, Proceedings of the American Mathematical Society
  • Process design and evaluation of syngas-to-ethanol conversion plants, 2020, Journal of Cleaner Production
  • On the Long Time Behavior of Solutions to the Intermediate Long Wave Equation, 2021, SIAM Journal on Mathematical Analysis
  • Extension and Representation of Divergence-free Vector Fields on Bounded Domains, 2021, UNC Libraries
  • Asymptotic Behavior of Solutions of the Dispersion Generalized Benjamin-Ono Equation, 2020, Journal of Dynamics and Differential Equations

Gustavo Ponce has collaborated frequently with several researchers including:

  • Felipe Linares
  • Luis Vega
  • Christian Hong
  • Carlos E. Kenig
  • Didier Pilod

In 2013, Gustavo Ponce was recognized as a Fellow of the American Mathematical Society, a distinction that reflects involvement in the mathematical community.

Best Publications

  • Commutator estimates and the euler and navier‐stokes equations

    Tosio Kato;Gustavo Ponce

  • Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle

    Carlos E. Kenig;Gustavo Ponce;Luis Vega

  • A bilinear estimate with applications to the KdV equation

    Carlos Kenig;Gustavo Ponce;Luis Vega

  • Oscillatory integrals and regularity of dispersive equations

    C. E. Kenig;G. Ponce;L. Vega

  • Well-posedness of the initial value problem for the Korteweg-de Vries equation

    Carlos E. Kenig;Gustavo Ponce;Luis Vega

  • Introduction to Nonlinear Dispersive Equations

    Felipe Linares;Gustavo Ponce

  • On the ill-posedness of some canonical dispersive equations

    Carlos E. Kenig;Gustavo Ponce;Luis Vega

  • The Cauchy problem for the Korteweg-de Vries equation in Sobolev spaces of negative indices

    Carlos E. Kenig;Gustavo Ponce;Luis Vega

  • Global existence of small solutions to a class of nonlinear evolution equations

    Gustavo Ponce

  • Global, small amplitude solutions to nonlinear evolution equations

    S. Klainerman;Gustavo Ponce

  • Small solutions to nonlinear Schrödinger equations

    Carlos E. Kenig;Gustavo Ponce;Luis Vega

  • Persistence Properties and Unique Continuation of Solutions of the Camassa-Holm Equation

    A. Alexandrou Himonas;Gerard Misiołek;Gustavo Ponce;Yong Zhou

  • Smoothing effects and local existence theory for the generalized nonlinear Schrödinger equations

    Carlos E. Kenig;Gustavo Ponce;Luis Vega

  • On the global well-posedness of the Benjamin-Ono equation

    Gustavo Ponce

  • On the (generalized) Korteweg-de Vries equation

    Carlos E. Kenig;Gustavo Ponce;Luis Vega

  • Quadratic forms for the 1-D semilinear Schrödinger equation

    Carlos E. Kenig;Gustavo Ponce;Luis Vega

  • Local regularity of nonlinear wave equations in three space dimensions

    Gustavo Ponce;Thomas C. Sideris

  • The Cauchy problem for quasi-linear Schrödinger equations

    Carlos E. Kenig;Gustavo Ponce;Luis Vega

  • Global Stability of Large Solutions to the 3D Navier-Stokes Equations

    G. Ponce;R. Racke;T. C. Sideris;E. S. Titi;E. S. Titi

  • Well-Posedness of the Euler and Navier-Stokes Equations in the Lebesgue Spaces $L^p_s(\mathbb R^2)$

    Tosio Kato;Gustavo Ponce

Frequent Co-Authors

Carlos E. Kenig
Carlos E. Kenig University of Chicago
Luis Vega
Luis Vega University of the Basque Country
Luis Escauriaza
Luis Escauriaza University of the Basque Country
Tosio Kato
Tosio Kato University of California, Berkeley
Jean-Claude Saut
Jean-Claude Saut University of Paris-Saclay
A. Alexandrou Himonas
A. Alexandrou Himonas University of Notre Dame
Jerry L. Bona
Jerry L. Bona University of Illinois at Chicago
Edriss S. Titi
Edriss S. Titi Texas A&M University
Michael Cowling
Michael Cowling University of New South Wales
Barry Simon
Barry Simon California Institute of Technology

If you think any of the details on this page are incorrect, let us know.

Report an issue

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Related Online Degrees & Career Pathways

For students pursuing Mathematics in the USA, expanding into related online degrees can open diverse career opportunities. Many find that business-oriented programs complement their analytical skills well. For example, the easiest mba program to get into offers a practical way to enhance leadership and management abilities without extensive barriers to entry.

Moreover, those seeking flexible learning options should explore the easiest mba online pathways, which provide the convenience of studying remotely while gaining crucial business insights. This can be particularly beneficial for mathematicians aiming to transition into corporate roles.

For advanced research and executive positions, pursuing a Doctor of Business Administration is worth considering. The dba programs available online offer a balance of affordability and academic rigor, preparing graduates for leadership and consultancy roles in various industries.

Additionally, an online masters in finance is another popular choice for Mathematics graduates, as it leverages strong quantitative skills and opens pathways in banking, investment, and financial analysis. Carefully considering these related degrees can greatly enhance career flexibility and growth in today's competitive market.

Best Scientists Citing Gustavo Ponce

Trending Scientists

Recently Published Articles