Research output per year
Research output per year
Personal profile
Research Overview
Professor Markowich's primary research interests are in the mathematical and numerical analysis of partial differential equations (PDEs) and their application in physics, biology and engineering. In particular he is interested in:
classical and quantum mechanical kinetic theory
analytical and numerical problems occurring in highly oscillatory PDEs (like semi classical asymptotics)
Wigner transforms
nonlinear PDEs describing dispersive and, resp., diffusive phenomena
singular perturbations and long-time asymptotics
generalized Sobolev inequalities
inverse problems in solid state physics
image processing using PDEs
Key Research Areas
Functional Biology, Applied Mathematics and Computational Science
Expertise related to UN Sustainable Development Goals
In 2015, UN member states agreed to 17 global Sustainable Development Goals (SDGs) to end poverty, protect the planet and ensure prosperity for all. This person’s work contributes towards the following SDG(s):
Education
Applied and Numerical Mathematics, Habilitation, Vienna University of Technology
1984
Award Date: Jan 1 1984
Dr. Techn., Vienna University of Technology
1980
Award Date: Jan 1 1980
Engineering, M.S., Vienna University of Technology
1979
Award Date: Jan 1 1979
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Collaborations and top research areas from the last five years
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SELF-REGULATED BIOLOGICAL TRANSPORTATION STRUCTURES WITH GENERAL ENTROPY DISSIPATIONS, PART I: THE 1D CASE
Astuto, C., Haskovec, J., Markowich, P. & Portaro, S., 2024, In: Journal of Dynamics and Games. 11, 1, p. 76-99 24 p.Research output: Contribution to journal › Article › peer-review
Open Access1 Scopus citations -
Asymmetry and Condition Number of an Elliptic-Parabolic System for Biological Network Formation
Astuto, C., Boffi, D., Haskovec, J., Markowich, P. & Russo, G., 2023, (Accepted/In press) In: Communications on Applied Mathematics and Computation.Research output: Contribution to journal › Article › peer-review
1 Scopus citations -
EMERGENCE OF BIOLOGICAL TRANSPORTATION NETWORKS AS A SELF-REGULATED PROCESS
Haskovec, J., Markowich, P. & Portaro, S., Mar 2023, In: Discrete and Continuous Dynamical Systems- Series A. 43, 3-4, p. 1499-1515 17 p.Research output: Contribution to journal › Article › peer-review
Open Access3 Scopus citations -
Preface
Bao, W., Markowich, P. A., Perthame, B. & Tadmor, E., Feb 7 2023, Modeling and Simulation for Collective Dynamics. World Scientific, p. IX-XIIResearch output: Chapter in Book/Report/Conference proceeding › Chapter
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The Mathematical Theory of Hughes’ Model: A Survey of Results
Amadori, D., Andreianov, B., Di Francesco, M., Fagioli, S., Girard, T., Goatin, P., Markowich, P., Pietschmann, J. F., Rosini, M. D., Russo, G., Stivaletta, G. & Wolfram, M. T., 2023, Modeling and Simulation in Science, Engineering and Technology. Birkhauser, p. 9-53 45 p. (Modeling and Simulation in Science, Engineering and Technology; vol. Part F1951).Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review
Open Access1 Scopus citations -
Comparison of Two Aspects of a PDE Model for Biological Network Formation
Astuto, C., Boffi, D., Haskovec, J. & Markowich, P. A., Oct 17 2022, In: Mathematical and Computational Applications. 27, 5, p. 87Research output: Contribution to journal › Article › peer-review
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Tensor PDE model of biological network formation
Haskovec, J., Markowich, P. A. & Pilli, G., Apr 11 2022, In: Communications in Mathematical Sciences. 20, 4, p. 1173-1191 19 p.Research output: Contribution to journal › Article › peer-review
3 Scopus citations -
Selection dynamics for deep neural networks
Liu, H. & Markowich, P. A., Sep 21 2020, In: Journal of Differential Equations. 269, 12, p. 11540-11574 35 p.Research output: Contribution to journal › Article › peer-review
8 Scopus citations
Prizes
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Corresponding Member of the Austrian Academy of Sciences
Markowich, P. (Recipient), 2005
Prize: Award or Honor › Learned Society
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Distinguished Lecture in the "Adventures in Theory" Lecture Series
Markowich, P. (Recipient), 2016
Prize: Award or Honor › Distinguished Lecturer
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Distinguished Lecture Series, UCLA
Markowich, P. (Recipient), 2014
Prize: Award or Honor › Distinguished Lecturer
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Elected Fellow of the European Academy of Sciences (EurASc)
Markowich, P. (Recipient), 2020
Prize: Award or Honor › Learned Society
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Excellence Chair at Jiaotong University, Shanghai, China
Markowich, P. (Recipient), 2012
Prize: Award or Honor › Awarded grant
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Excellence Chair of the Fondation Sciences Mathématiques de Paris
Markowich, P. (Recipient), 2011
Prize: Award or Honor › Awarded grant
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Frontier Lecture, CSRC Beijing
Markowich, P. (Recipient), 2015
Prize: Award or Honor › Distinguished Lecturer
Press/Media
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King Abdullah University of Science and Technology (KAUST) Researchers Report on Findings in Mathematics (Comparison of Two Aspects of a PDE Model for Biological Network Formation)
Astuto, C., Markowich, P., Haskovec, J. & Boffi, D.
11/4/22
1 item of Media coverage
Press/Media: Press / Media
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Mathematician Peter Markowich named 2022 AMS Fellow
11/3/21
1 item of Media coverage
Press/Media: Press / Media
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KAUST mathematician named Fellow to European Academy of Sciences
07/29/20
1 item of Media coverage
Press/Media: Press / Media