Gustavo Ponce

12.2k total citations · 5 hit papers
109 papers, 7.6k citations indexed

About

Gustavo Ponce is a scholar working on Mathematical Physics, Statistical and Nonlinear Physics and Applied Mathematics. According to data from OpenAlex, Gustavo Ponce has authored 109 papers receiving a total of 7.6k indexed citations (citations by other indexed papers that have themselves been cited), including 79 papers in Mathematical Physics, 55 papers in Statistical and Nonlinear Physics and 50 papers in Applied Mathematics. Recurrent topics in Gustavo Ponce's work include Advanced Mathematical Physics Problems (77 papers), Nonlinear Waves and Solitons (52 papers) and Navier-Stokes equation solutions (26 papers). Gustavo Ponce is often cited by papers focused on Advanced Mathematical Physics Problems (77 papers), Nonlinear Waves and Solitons (52 papers) and Navier-Stokes equation solutions (26 papers). Gustavo Ponce collaborates with scholars based in United States, Spain and Brazil. Gustavo Ponce's co-authors include Luis Vega, Carlos E. Kenig, Tosio Kato, Felipe Linares, Sergiù Klainerman, Thomas C. Sideris, Gerard Misiołek, A. Alexandrou Himonas, Luis Escauriaza and Yong Zhou and has published in prestigious journals such as SHILAP Revista de lepidopterología, Journal of Cleaner Production and Energy.

In The Last Decade

Gustavo Ponce

104 papers receiving 6.8k citations

Hit Papers

5 papers align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

Commutator estimates and the euler and navier‐stokes equations

1988 1.2k citations Gustavo Ponce et al. profile →
Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle

1993 831 citations Carlos E. Kenig, Gustavo Ponce et al. profile →
A bilinear estimate with applications to the KdV equation

1996 525 citations Carlos E. Kenig, Gustavo Ponce et al. Journal of the American Mathematical Society profile →
Well-posedness of the initial value problem for the Korteweg-de Vries equation

1991 426 citations Carlos E. Kenig, Gustavo Ponce et al. Journal of the American Mathematical Society profile →
Introduction to Nonlinear Dispersive Equations

2014 136 citations Felipe Linares, Gustavo Ponce profile →

Peers

Countries citing papers authored by Gustavo Ponce

Since Specialization

Citations

This map shows the geographic impact of Gustavo Ponce's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Gustavo Ponce with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Gustavo Ponce more than expected).

Fields of papers citing papers by Gustavo Ponce

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Gustavo Ponce. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Gustavo Ponce. The network helps show where Gustavo Ponce may publish in the future.

Co-authorship network of co-authors of Gustavo Ponce

This figure shows the co-authorship network connecting the top 25 collaborators of Gustavo Ponce. A scholar is included among the top collaborators of Gustavo Ponce based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Gustavo Ponce. Gustavo Ponce is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

#	Work	Indexed citations
1	Propagation of regularity and decay of solutions to nonlinear dispersive equations 2023 ·Matemática Contemporânea ·Felipe Linares, Gustavo Ponce	1
2	Unique continuation properties for solutions to the Camassa-Holm equation and related models 2020 ·Proceedings of the American Mathematical Society ·Felipe Linares, Gustavo Ponce	20
3	Simulation and Feasibility Evaluation of a Tipical Levulinic Acid (la) Plant Using Biomass as Substrate. 2019 ·SHILAP Revista de lepidopterología ·(unknown), Gustavo Ponce, (unknown), Víktor Oswaldo Cárdenas Concha	1
4	Properties of solutions to the Camassa-Holm equation on the line in a\n class containing the peakons 2016 ·eScholarship (California Digital Library) ·Felipe Linares, Gustavo Ponce, Thomas C. Sideris	7
5	Simulation, Analysis and Optimization of Sugar Concentration in an In Situ Gas Stripping Fermentation Process for Bioethanol Production 2015 ·SHILAP Revista de lepidopterología ·Gustavo Ponce, (unknown), Rubens Maciel Filho, Rafael Andrade, Maria Regina Wolf Maciel	4
6	Simulation, Optimization and Analysis of a Syngas to Ethanol and other Oxygenates Production Plant Using a Rh-Based Catalyst 2015 ·SHILAP Revista de lepidopterología ·(unknown), Gustavo Ponce, Harvey Arellano‐García, Rubens Maciel Filho, Maria Regina Wolf Maciel	2
7	Simulation, Analysis and Optimization of an In Situ Gas Stripping Fermentation Process in a Laboratory Scale for Bioethanol Production 2014 ·SHILAP Revista de lepidopterología ·Gustavo Ponce, (unknown), (unknown), (unknown), Rubens Maciel Filho, Rafael Andrade, (unknown)	4
8	Dispersive blow-up for nonlinear Schrödinger equations revisited 2014 ·Journal de Mathématiques Pures et Appliquées ·Jerry L. Bona, Gustavo Ponce, Jean‐Claude Saut, Christof Sparber	31
9	ON THE PERSISTENCE PROPERTIES OF SOLUTIONS OF NONLINEAR DISPERSIVE EQUATIONS IN WEIGHTED SOBOLEV SPACES (Harmonic Analysis and Nonlinear Partial Differential Equations) 2011 ·Kyoto University Research Information Repository (Kyoto University) ·(unknown), Gustavo Ponce	1
10	The IVP for the Benjamin–Ono equation in weighted Sobolev spaces II 2011 ·Journal of Functional Analysis ·(unknown), Felipe Linares, Gustavo Ponce	30
11	Well-posedness for a higher-order Benjamin–Ono equation 2010 ·Journal of Differential Equations ·Felipe Linares, Didier Pilod, Gustavo Ponce	11
12	The IVP for the Benjamin–Ono equation in weighted Sobolev spaces 2010 ·Journal of Functional Analysis ·(unknown), Gustavo Ponce	33
13	On the decay properties of solutions to a class of Schrödinger equations 2008 ·Proceedings of the American Mathematical Society ·(unknown), (unknown), Gustavo Ponce	24
14	Variable coefficient Schrödinger flows for ultrahyperbolic operators 2004 ·Advances in Mathematics ·Carlos E. Kenig, Gustavo Ponce, (unknown), Luis Vega	23
15	Control biológico, un método ambientalmente amigable 2003 ·M. H. Badii, Adriana E. Flores, R. Foroughbakhch, Gustavo Ponce, (unknown)	1
16	On the Zakharov and Zakharov-Schulman Systems 1995 ·Journal of Functional Analysis ·Carlos E. Kenig, Gustavo Ponce, Luis Vega	59
17	Higher-order nonlinear dispersive equations 1994 ·Proceedings of the American Mathematical Society ·Carlos E. Kenig, Gustavo Ponce, Luis Vega	64
18	On the generalized Benjamin-Ono equation 1994 ·Transactions of the American Mathematical Society ·Carlos E. Kenig, Gustavo Ponce, Luis Vega	54
19	Lax Pairs and Higher Order Models for Water Waves 1993 ·Journal of Differential Equations ·Gustavo Ponce	53
20	Well-Posedness of the Initial Value Problem for the Korteweg-de Vries Equation 1991 ·Journal of the American Mathematical Society ·Carlos E. Kenig, Gustavo Ponce, Luis Vega	81

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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