Peter A. Markowich

12.3k total citations · 1 hit paper
198 papers, 8.1k citations indexed

About

Peter A. Markowich is a scholar working on Mathematical Physics, Statistical and Nonlinear Physics and Applied Mathematics. According to data from OpenAlex, Peter A. Markowich has authored 198 papers receiving a total of 8.1k indexed citations (citations by other indexed papers that have themselves been cited), including 64 papers in Mathematical Physics, 51 papers in Statistical and Nonlinear Physics and 51 papers in Applied Mathematics. Recurrent topics in Peter A. Markowich's work include Advanced Mathematical Modeling in Engineering (35 papers), Advanced Mathematical Physics Problems (29 papers) and Spectral Theory in Mathematical Physics (24 papers). Peter A. Markowich is often cited by papers focused on Advanced Mathematical Modeling in Engineering (35 papers), Advanced Mathematical Physics Problems (29 papers) and Spectral Theory in Mathematical Physics (24 papers). Peter A. Markowich collaborates with scholars based in Austria, Germany and United States. Peter A. Markowich's co-authors include Christian Schmeiser, Christian Ringhofer, Weizhu Bao, Shi Jin, Alexander Lorz, Norbert J. Mauser, Pierre Degond, Christof Sparber, Giuseppe Toscani and Dieter Jaksch and has published in prestigious journals such as Journal of Fluid Mechanics, Journal of Computational Physics and Mathematics of Computation.

In The Last Decade

Peter A. Markowich

194 papers receiving 7.3k citations

Hit 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.

Semiconductor Equations

1990 888 citations Peter A. Markowich, Christian Ringhofer et al. profile →

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
Peter A. Markowich Austria	46	2.5k	2.2k	2.0k	1.8k	1.4k	198	8.1k
F. W. J. Olver United States	26	2.1k 0.9×	1.2k 0.5×	1.8k 0.9×	1.3k 0.7×	459 0.3×	85	7.4k
Pierre Degond France	44	3.0k 1.2×	1.0k 0.5×	857 0.4×	939 0.5×	2.6k 1.8×	261	6.6k
Shi Jin United States	43	2.5k 1.0×	858 0.4×	901 0.4×	1.1k 0.6×	3.8k 2.7×	254	6.8k
H. Bateman	9	3.1k 1.3×	1.6k 0.7×	2.2k 1.1×	1.8k 1.0×	368 0.3×	10	9.2k
Richard A. Silverman United States	25	2.9k 1.2×	1.8k 0.8×	1.7k 0.8×	944 0.5×	1.6k 1.1×	42	9.5k
A. S. Fokas United Kingdom	61	1.2k 0.5×	3.8k 1.7×	2.1k 1.0×	10.7k 5.8×	546 0.4×	315	13.6k
Peter J. Olver United States	45	1.1k 0.4×	2.5k 1.1×	1.0k 0.5×	9.4k 5.1×	1.2k 0.9×	198	13.6k
Lothar Reichel United States	41	1.6k 0.6×	2.0k 0.9×	1.4k 0.7×	674 0.4×	1.5k 1.1×	348	6.9k
Vladimir I. Arnold Russia	48	2.3k 0.9×	3.1k 1.4×	1.2k 0.6×	5.1k 2.8×	1.2k 0.9×	200	13.0k
Tudor S. Raţiu Switzerland	40	1.4k 0.6×	2.2k 1.0×	680 0.3×	4.2k 2.3×	1.6k 1.1×	206	10.6k

Countries citing papers authored by Peter A. Markowich

Since Specialization

Citations

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

Fields of papers citing papers by Peter A. Markowich

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Peter A. Markowich. 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 Peter A. Markowich. The network helps show where Peter A. Markowich may publish in the future.

Co-authorship network of co-authors of Peter A. Markowich

This figure shows the co-authorship network connecting the top 25 collaborators of Peter A. Markowich. A scholar is included among the top collaborators of Peter A. Markowich 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 Peter A. Markowich. Peter A. Markowich 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

Jahdali, Rasha Al, et al.. (2024). Fully-Discrete Lyapunov Consistent Discretizations for Parabolic Reaction-Diffusion Equations with r Species. Communications on Applied Mathematics and Computation. 8(1). 195–231. 1 indexed citations

Boffi, Daniele, et al.. (2022). Comparison of Two Aspects of a PDE Model for Biological Network Formation. Mathematical and Computational Applications. 27(5). 87–87. 1 indexed citations

Antonelli, Paolo, et al.. (2019). On a dissipative Gross–Pitaevskii-type model for exciton-polariton condensates*. Nonlinearity. 32(11). 4317–4345. 5 indexed citations

Haškovec, Jan, et al.. (2017). Well posedness and maximum entropy approximation for the dynamics of quantitative traits. Physica D Nonlinear Phenomena. 376-377. 108–120. 3 indexed citations

Fellner, Klemens, et al.. (2015). A drift-diffusion-reaction model for excitonic photovoltaic bilayers: Photovoltaic bilayers: Asymptotic analysis and a 2D hdg finite element scheme. King Abdullah University of Science and Technology Repository (King Abdullah University of Science and Technology). 20 indexed citations

Caffarelli, Luis, Peter A. Markowich, & Jan‐Frederik Pietschmann. (2011). On a price formation free boundary model by Lasry and Lions. Comptes Rendus Mathématique. 349(11-12). 621–624. 8 indexed citations

Burger, Martin, et al.. (2011). Continuous limit of a crowd motion and herding model: Analysis and numerical simulations. Kinetic and Related Models. 4(4). 1025–1047. 30 indexed citations

Aoki, Kazuo, Ansgar Jüngel, & Peter A. Markowich. (2010). Small velocity andfinite temperature variations in kinetic relaxation models. Kinetic and Related Models. 3(1). 1–15. 1 indexed citations

Hsiao, Ling, Peter A. Markowich, & Shu Wang. (2003). The asymptotic behavior of globally smooth solutions of the multidimensional isentropic hydrodynamic model for semiconductors. Journal of Differential Equations. 192(1). 111–133. 66 indexed citations

10.

Sparber, Christof, Peter A. Markowich, & Norbert J. Mauser. (2003). Wigner functions versus WKB‐methods in multivalued geometrical optics. Asymptotic Analysis. 33(2). 153–187. 50 indexed citations

11.

Gasser, Ingenuin, Ling Hsiao, Peter A. Markowich, & Shu Wang. (2002). Quasi-neutral Limit of a Nonlinear Drift Diffusion Model for Semiconductors. Journal of Mathematical Analysis and Applications. 268(1). 184–199. 26 indexed citations

12.

Gabetta, Ester, Peter A. Markowich, & Andreas Unterreiter. (1999). A note on the entropy production of the radiative transfer equation. Applied Mathematics Letters. 12(4). 111–116. 6 indexed citations

13.

Gasser, Ingenuin, Peter A. Markowich, & Benoı̂t Perthame. (1999). Dispersion and Moment Lemmas Revisited. Journal of Differential Equations. 156(2). 254–281. 16 indexed citations

14.

Markowich, Peter A. & Frédéric Poupaud. (1996). The Maxwell equation in a periodic medium : homogenization of the energy density. French digital mathematics library (Numdam). 23(2). 301–324. 12 indexed citations

15.

Marcati, Pierangelo, Peter A. Markowich, & Roberto Natalini. (1995). Mathematical problems in semiconductor physics. Longman eBooks. 12 indexed citations

16.

Markowich, Peter A., et al.. (1993). Vacuum solutions of a stationary drift-diffusion model. French digital mathematics library (Numdam). 20(3). 371–386. 13 indexed citations

17.

Brezzi, Franco & Peter A. Markowich. (1991). The three‐dimensional wigner‐poisson problem: Existence, uniqueness and approximation. Mathematical Methods in the Applied Sciences. 14(1). 35–61. 96 indexed citations

18.

Degond, Pierre & Peter A. Markowich. (1990). On a one-dimensional steady-state hydrodynamic model for semiconductors. Applied Mathematics Letters. 3(3). 25–29. 147 indexed citations

19.

Markowich, Peter A. & Peter Szmolyan. (1989). A system of convection—diffusion equations with small diffusion coefficient arising in semiconductor physics. Journal of Differential Equations. 81(2). 234–254. 28 indexed citations

20.

Markowich, Peter A., et al.. (1982). A singularly perturbed boundary value problem modelling a semiconductor device. Unknow. 4 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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