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Mathematics
Saudi Arabia
2026

D-Index & Metrics

Mathematics

D-Index
59
Citations
18104
World Ranking
581
National Ranking
7

Research.com Recognitions

  • 2026 - Research.com Mathematics in Saudi Arabia Leader Award
  • 2025 - Research.com Mathematics in Saudi Arabia Leader Award

Overview

Peter A. Markowich is affiliated with King Abdullah University of Science and Technology in Saudi Arabia. Their research primarily focuses on the field of engineering, with significant contributions in biomedical engineering, modeling and simulation, and molecular biology. Additional subfields include statistical and nonlinear physics as well as computational theory and mathematics.

Their work covers a range of specialized topics, including:

  • Slime Mold and Myxomycetes Research
  • Mathematical Biology Tumor Growth
  • Gene Regulatory Network Analysis
  • Advanced Mathematical Modeling in Engineering
  • Protein Structure and Dynamics
  • Particle physics theoretical and experimental studies
  • Distributed and Parallel Computing Systems

Peter A. Markowich has published in various scholarly venues. Their frequent publication outlets include:

  • arXiv (Cornell University)
  • Communications on Applied Mathematics and Computation
  • Lecture notes series, Institute For Mathematical Sciences
  • SciPost Physics
  • Journal of Differential Equations

Significant book publications appear in the Lecture notes series by the Institute For Mathematical Sciences, where they authored two titles in 2022:

  • Models and Methods for Quantum Condensation and Fluids
  • Modeling and Simulation for Collective Dynamics

Their recent papers demonstrate a multidisciplinary approach spanning physics, biology, and computational mathematics. Selected works include:

  • "Reinterpretation of LHC Results for New Physics: Status and recommendations after Run 2" (2020), published in SciPost Physics
  • "Selection dynamics for deep neural networks" (2020), published in Journal of Differential Equations
  • "Implicit and Semi-implicit Numerical Schemes for the Gradient Flow of the Formation of Biological Transport Networks" (2020), published in SMAI Journal of Computational Mathematics
  • "Emergence of biological transportation networks as a self-regulated process" (2022), published in Discrete and Continuous Dynamical Systems
  • "Tensor PDE model of biological network formation" (2022), published in Communications in Mathematical Sciences

Collaboratively, Peter A. Markowich has worked frequently with several coauthors, including:

  • Jan Haškovec
  • Simone Portaro
  • Clarissa Astuto
  • Daniele Boffi
  • Weizhu Bao

Best Publications

  • Semiconductor equations

    Peter A. Markowich;Christian A. Ringhofer;Christian Schmeiser

  • A system of convection—diffusion equations with small diffusion coefficient arising in semiconductor physics

    Peter A Markowich;Peter Szmolyan

  • The Stationary Semiconductor Device Equations

    Peter A. Markowich

  • Numerical solution of the Gross--Pitaevskii equation for Bose--Einstein condensation

    Weizhu Bao;Dieter Jaksch;Peter A. Markowich

  • Homogenization limits and Wigner transforms

    Patrick Gérard;Peter A. Markowich;Norbert J. Mauser;Frédéric Poupaud

  • ON CONVEX SOBOLEV INEQUALITIES AND THE RATE OF CONVERGENCE TO EQUILIBRIUM FOR FOKKER-PLANCK TYPE EQUATIONS

    Anton Arnold;Peter Markowich;Giuseppe Toscani;Andreas Unterreiter

  • On time-splitting spectral approximations for the Schrödinger equation in the semiclassical regime

    Weizhu Bao;Shi Jin;Peter A. Markowich

  • Entropy dissipation methods for degenerate parabolic problems and generalized Sobolev inequalities

    J. A. Carrillo;A. Jüngel;P. A. Markowich;G. Toscani

  • Global Solutions to the Coupled Chemotaxis-Fluid Equations

    Renjun Duan;Alexander Lorz;Peter A. Markowich

  • Kinetic Models for Chemotaxis and their Drift-Diffusion Limits

    Fabio A. C. C. Chalub;Peter A. Markowich;Benoît Perthame;Christian Schmeiser

  • Numerical Study of Time-Splitting Spectral Discretizations of Nonlinear Schrödinger Equations in the Semiclassical Regimes

    Weizhu Bao;Shi Jin;Peter A. Markowich

  • Chemotaxis-fluid coupled model for swimming bacteria with nonlinear diffusion: Global existence and asymptotic behavior

    Marco Di Francesco;Alexander Lorz;Peter A. Markowich

  • Semiconductor device modelling from the numerical point of view

    SJ Polak;C den Heijer;Wha Wil Schilders;P Markowich

  • On a one-dimensional steady-state hydrodynamic model for semiconductors

    P. Degond;P.A. Markowich

  • Boltzmann and Fokker–Planck equations modelling opinion formation in the presence of strong leaders

    Bertram Düring;Peter Markowich;Peter Markowich;Jan-Frederik Pietschmann;Marie-Therese Wolfram

  • Quantum hydrodynamics, Wigner transforms, the classical limit

    Ingenuin Gasser;Peter A. Markowich

  • ON THE TREND TO EQUILIBRIUM FOR THE FOKKER-PLANCK EQUATION : AN INTERPLAY BETWEEN PHYSICS AND FUNCTIONAL ANALYSIS

    P. A. Markowich;C. Villani

  • The three-dimensional Wigner-Poisson problem: existence, uniqueness and approximation

    Franco Brezzi;Peter A. Markowich

  • Mathematical and computational methods for semiclassical Schrödinger equations

    Shi Jin;Peter A. Markowich;Christof Sparber

  • A Wigner-function approach to (semi)classical limits: Electrons in a periodic potential

    P. A. Markowich;N. J. Mauser;F. Poupaud

Frequent Co-Authors

Christian Schmeiser
Christian Schmeiser University of Vienna
Pierre Degond
Pierre Degond Toulouse Mathematics Institute
Weizhu Bao
Weizhu Bao National University of Singapore
Giuseppe Toscani
Giuseppe Toscani University of Pavia
Jean Dolbeault
Jean Dolbeault Paris Dauphine University
José A. Carrillo
José A. Carrillo University of Oxford
Martin Burger
Martin Burger University of Erlangen-Nuremberg
Shi Jin
Shi Jin Shanghai Jiao Tong University
Michael Renardy
Michael Renardy Virginia Tech

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