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Engineering and Technology
Romania
2026
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Mathematics
Romania
2026

D-Index & Metrics

Mathematics

D-Index
53
Citations
15208
World Ranking
885
National Ranking
1

Engineering and Technology

D-Index
49
Citations
13523
World Ranking
4219
National Ranking
1

Research.com Recognitions

  • 2026 - Research.com Engineering and Technology in Romania Leader Award
  • 2026 - Research.com Mathematics in Romania Leader Award
  • 2025 - Research.com Engineering and Technology in Romania Leader Award
  • 2025 - Research.com Mathematics in Romania Leader Award
  • 2008 - Member of the European Academy of Sciences

Overview

Viorel Barbu is affiliated with Alexandru Ioan Cuza University in Romania. Their research spans several interconnected fields, primarily focusing on mathematics, physics and astronomy, as well as economics, econometrics, and finance. Within these domains, their work notably addresses applied mathematics, statistical and nonlinear physics, and finance, with significant contributions in mathematical physics and computational mechanics.

The topics central to their research include stochastic processes and financial applications, statistical mechanics and entropy, gas dynamics and kinetic theory, nonlinear partial differential equations, advanced thermodynamics and statistical mechanics, advanced mathematical physics problems, and Navier-Stokes equation solutions.

Barbu has authored multiple recent papers, with the following notable publications:

  • The evolution to equilibrium of solutions to nonlinear Fokker-Planck equation (2023), Indiana University Mathematics Journal
  • Uniqueness for nonlinear Fokker-Planck equations and for McKean-Vlasov SDEs: The degenerate case (2023), Journal of Functional Analysis
  • From nonlinear Fokker-Planck equations to solutions of distribution dependent SDE (2020), The Annals of Probability
  • Optimal Control of Nonlinear Stochastic Differential Equations on Hilbert Spaces (2020), SIAM Journal on Control and Optimization
  • Nonlinear Fokker-Planck Equations with Time-Dependent Coefficients (2023), SIAM Journal on Mathematical Analysis

Frequent collaborators include Michael Röckner, with whom Barbu has written extensively, as well as Deng Zhang, Marco Rehmeier, and José Luís da Silva. Their contributions are often published in venues such as arXiv (Cornell University), SIAM Journal on Control and Optimization, Journal of Functional Analysis, Journal of Differential Equations, and Stochastic Partial Differential Equations Analysis and Computations.

Barbu has also contributed to academic books, publishing titles through publishers like Springer Nature and World Scientific. Their books include "Nonlinear Fokker-Planck Flows and their Probabilistic Counterparts" (2024) and "Semigroup Approach to Nonlinear Diffusion Equations" (2021).

In recognition of their work, Barbu was named a Member of the European Academy of Sciences in 2008.

Best Publications

  • Nonlinear semigroups and differential equations in Banach spaces

    Viorel Barbu

  • Convexity and optimization in Banach spaces

    Viorel Barbu;Theodor Precupanu

  • Nonlinear Differential Equations of Monotone Types in Banach Spaces

    Viorel Barbu

  • Analysis and control of nonlinear infinite dimensional systems

    Viorel Barbu

  • Optimal control of variational inequalities

    Viorel Barbu

  • Mathematical Methods in Optimization of Differential Systems

    Viorel Barbu

  • Hamilton-Jacobi equations in Hilbert spaces

    Viorel Barbu;Giuseppe Da Prato

  • Optimal Control of Population Dynamics

    V. Barbu;M. Iannelli

  • Internal stabilization of Navier-Stokes equations with finite-dimensional controllers

    Viorel Barbu;Roberto Triggiani

  • Exact Controllability of the Superlinear Heat Equation

    V. Barbu

  • Tangential boundary stabilization of Navier-Stokes equations

    Viorel Barbu;Irena Lasiecka;Roberto Triggiani

  • Partial Differential Equations and Boundary Value Problems

    Viorel Barbu

  • CONTROLLABILITY OF PARABOLIC AND NAVIER-STOKES EQUATIONS

    Viorel Barbu

  • From nonlinear Fokker–Planck equations to solutions of distribution dependent SDE

    Viorel Barbu;Michael Röckner

  • Abstract settings for tangential boundary stabilization of Navier–Stokes equations by high- and low-gain feedback controllers

    Viorel Barbu;Irena Lasiecka;Roberto Triggiani

  • Carleman Estimates and Controllability of Linear Stochastic Heat Equations

    Viorel Barbu;Aurel Răşcanu;Gianmario Tessitore

  • Feedback stabilization of Navier–Stokes equations

    Viorel Barbu

  • Stabilization of Navier-Stokes Flows

    Viorel Barbu

  • Existence of strong solutions for stochastic porous media equation under general monotonicity conditions

    Viorel Barbu;Giuseppe Da Prato;Michael Röckner

  • Principles of differential and integral equations : C. Corduneanu. 202 pages, diagrams, 6x9 in. Boston, Mass., Allyn & Bacon, 1971. Price, $16.95 (approx. £7·05).

    Unknown

  • Differential equations in Banach spaces

    Viorel Barbu

Frequent Co-Authors

Michael Röckner
Michael Röckner Bielefeld University
Giuseppe Da Prato
Giuseppe Da Prato Scuola Normale Superiore di Pisa
Irena Lasiecka
Irena Lasiecka University of Memphis
Pierluigi Colli
Pierluigi Colli University of Pavia
Francesco Russo
Francesco Russo École Nationale Supérieure de Techniques Avancées
Roberto Triggiani
Roberto Triggiani University of Memphis
Zdzisław Brzeźniak
Zdzisław Brzeźniak University of York
Sergio Albeverio
Sergio Albeverio University of Bonn
Elisabetta Rocca
Elisabetta Rocca University of Pavia
Karl Kunisch
Karl Kunisch University of Graz

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