María E. Schonbek

4.0k total citations
64 papers, 2.6k citations indexed

About

María E. Schonbek is a scholar working on Applied Mathematics, Mathematical Physics and Control and Systems Engineering. According to data from OpenAlex, María E. Schonbek has authored 64 papers receiving a total of 2.6k indexed citations (citations by other indexed papers that have themselves been cited), including 49 papers in Applied Mathematics, 42 papers in Mathematical Physics and 28 papers in Control and Systems Engineering. Recurrent topics in María E. Schonbek's work include Navier-Stokes equation solutions (48 papers), Advanced Mathematical Physics Problems (41 papers) and Stability and Controllability of Differential Equations (28 papers). María E. Schonbek is often cited by papers focused on Navier-Stokes equation solutions (48 papers), Advanced Mathematical Physics Problems (41 papers) and Stability and Controllability of Differential Equations (28 papers). María E. Schonbek collaborates with scholars based in United States, Spain and United Kingdom. María E. Schonbek's co-authors include Jerry L. Bona, Tomas Schonbek, Michael Wiegner, Dongho Chae, C. J. Amick, Lorenzo Brandolese, Clayton Bjorland, Tetsuro Miyakawa, Mimi Dai and Rodolfo R. Rosales and has published in prestigious journals such as PLoS ONE, Mathematics of Computation and Journal of Mathematical Analysis and Applications.

In The Last Decade

María E. Schonbek

63 papers receiving 2.4k citations

Peers

María E. Schonbek

CSE

SNP

Dongho Chae South Korea

Thomas C. Sideris United States

Alexis Vasseur United States

Huijiang Zhao China

Ling Hsiao China

Akitaka Matsumura Japan

Isabelle Gallagher France

Camillo De Lellis Switzerland

Eduard Feireisl Czechia

Feimin Huang China

Dongho Chae South Korea

María E. Schonbek

2.9k ×1.3

2.4k ×1.3

730 ×0.7

CSE

1.1k ×1.7

145 ×0.3

SNP

Citations per year, relative to María E. Schonbek María E. Schonbek (= 1×) peers Dongho Chae

Countries citing papers authored by María E. Schonbek

Since Specialization

Citations

This map shows the geographic impact of María E. Schonbek'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 María E. Schonbek with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites María E. Schonbek more than expected).

Fields of papers citing papers by María E. Schonbek

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by María E. Schonbek. 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 María E. Schonbek. The network helps show where María E. Schonbek may publish in the future.

Co-authorship network of co-authors of María E. Schonbek

This figure shows the co-authorship network connecting the top 25 collaborators of María E. Schonbek. A scholar is included among the top collaborators of María E. Schonbek 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 María E. Schonbek. María E. Schonbek 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

Sammartino, M., María E. Schonbek, & Vincenzo Sciacca. (2024). Dissipative 2D MHD equations with L1 vorticity and magnetic current. Journal of Hyperbolic Differential Equations. 21(3). 791–810.

Schonbek, María E. & Yoshihiro Shibata. (2018). Global well-posedness and decay for a Q tensor model of incompressible nematic liquid crystals in RN. Journal of Differential Equations. 266(6). 3034–3065. 5 indexed citations

Karch, Grzegorz, et al.. (2016). L2-asymptotic stability of singular solutions to the Navier–Stokes system of equations in R 3 . Journal de Mathématiques Pures et Appliquées. 108(1). 14–40. 13 indexed citations

Schonbek, María E. & Yoshihiro Shibata. (2016). On the global well-posedness of strong dynamics of incompressible nematic liquid crystals in $${\mathbb{R}^N}$$ R N. Journal of Evolution Equations. 17(1). 537–550. 6 indexed citations

Chae, Dongho & María E. Schonbek. (2013). On the temporal decay for the Hall-magnetohydrodynamic equations. Journal of Differential Equations. 255(11). 3971–3982. 118 indexed citations

Brandolese, Lorenzo & María E. Schonbek. (2012). Large time decay and growth for solutions of a viscous Boussinesq system. Transactions of the American Mathematical Society. 364(10). 5057–5090. 88 indexed citations

Dai, Mimi, Jie Qing, & María E. Schonbek. (2012). Asymptotic Behavior of Solutions to Liquid Crystal Systems in ℝ³. Communications in Partial Differential Equations. 37(12). 2138–2164. 30 indexed citations

Cañizo, José A., José A. Carrillo, & María E. Schonbek. (2011). Decay rates for a class of diffusive-dominated interaction equations. Journal of Mathematical Analysis and Applications. 389(1). 541–557. 4 indexed citations

Dai, Mimi, Jie Qing, & María E. Schonbek. (2011). Norm inflation for incompressible magneto-hydrodynamic system in $\dot{B}_{\infty}^{-1,\infty}$. Advances in Differential Equations. 16(7/8). 5 indexed citations

10.

Schonbek, María E.. (2006). Asymptotic behavior of solutions to viscous conservation laws with slowly varying external forces. Mathematische Annalen. 336(3). 505–538. 2 indexed citations

11.

Miyakawa, Tetsuro & María E. Schonbek. (2001). On optimal decay rates for weak solutions to the Navier-Stokes equations in $R^n$. Mathematica Bohemica. 126(2). 443–455. 62 indexed citations

12.

Schonbek, María E. & Geoffrey K. Vallis. (1999). Energy Decay of Solutions to the Boussinesq, Primitive, and Planetary Geostrophic Equations. Journal of Mathematical Analysis and Applications. 234(2). 457–481. 8 indexed citations

13.

Ogawa, Takayoshi, et al.. (1997). Energy Decay for a Weak Solution of the Navier–Stokes Equation with Slowly Varying External Forces. Journal of Functional Analysis. 144(2). 325–358. 32 indexed citations

14.

Bona, Jerry L., et al.. (1994). Models for propagation of bores. I. Two-dimensional theory. Differential and Integral Equations. 7(3-4). 23 indexed citations

15.

Amick, C. J., Jerry L. Bona, & María E. Schonbek. (1989). Decay of solutions of some nonlinear wave equations. Journal of Differential Equations. 81(1). 1–49. 162 indexed citations

16.

Majda, Andrew J., Rodolfo R. Rosales, & María E. Schonbek. (1988). A Canonical System of lntegrodifferential Equations Arising in Resonant Nonlinear Acoustics. Studies in Applied Mathematics. 79(3). 205–262. 40 indexed citations

17.

Bona, Jerry L. & María E. Schonbek. (1985). Travelling-wave solutions to the Korteweg-de Vries-Burgers equation. Proceedings of the Royal Society of Edinburgh Section A Mathematics. 101(3-4). 207–226. 130 indexed citations

18.

Schonbek, María E.. (1985). L2 decay for weak solutions of the Navier-Stokes equations. Archive for Rational Mechanics and Analysis. 88(3). 209–222. 367 indexed citations

19.

Schonbek, María E.. (1981). Existence of solutions for the boussinesq system of equations. Journal of Differential Equations. 42(3). 325–352. 65 indexed citations

20.

Schonbek, María E.. (1978). Boundary value problems for the Fitzhugh-Nagumo equations. Journal of Differential Equations. 30(1). 119–147. 23 indexed citations

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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