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Zdzisław Brzeźniak

Zdzisław Brzeźniak

D-Index & Metrics

Mathematics

D-Index
40
Citations
5518
World Ranking
2088
National Ranking
139

Overview

Zdzisław Brzeźniak is affiliated with the University of York in the United Kingdom. Their research spans multiple aspects of mathematics with strong intersections in economics, econometrics, and finance. The main fields of study include Mathematics and Economics, Econometrics and Finance. Subfields of particular focus are Finance, Mathematical Physics, Applied Mathematics, Control and Systems Engineering, and Computational Theory and Mathematics.

The scientist's work concentrates on several main topics, including stochastic processes and financial applications, stability and controllability of differential equations, advanced mathematical modeling in engineering, Navier-Stokes equation solutions, advanced mathematical physics problems, stochastic processes and statistical mechanics, and advanced mathematical theories.

Recent papers authored by Zdzisław Brzeźniak highlight contributions to stochastic and nonlinear differential equations and their applications. Some notable publications are:

  • Stochastic Tamed Navier-Stokes Equations on ℝ³: The Existence and the Uniqueness of Solutions and the Existence of an Invariant Measure, 2020, Journal of Mathematical Fluid Mechanics
  • Well-posedness of the 3D stochastic primitive equations with multiplicative and transport noise, 2021, Journal of Differential Equations
  • Ergodic results for the stochastic nonlinear Schrödinger equation with large damping, 2023, Journal of Evolution Equations
  • The stochastic Strichartz estimates and stochastic nonlinear Schrödinger equations driven by Lévy noise, 2021, Journal of Functional Analysis
  • Uniqueness of martingale solutions for the stochastic nonlinear Schrödinger equation on 3d compact manifolds, 2022, Stochastic Partial Differential Equations Analysis and Computations

Zdzisław Brzeźniak frequently publishes in venues such as arXiv (Cornell University), Journal of Differential Equations, Journal of Evolution Equations, Journal of Mathematical Fluid Mechanics, and Journal of Functional Analysis. The total number of publications in these is highest in arXiv with 24, followed by 8 in the Journal of Differential Equations.

The scientist collaborates extensively, with frequent co-authors including Paul André Razafimandimby, Gaurav Dhariwal, Benedetta Ferrario, Margherita Zanella, and Nimit Rana, evidencing ongoing cooperative research efforts.

Best Publications

  • On stochastic convolution in banach spaces and applications

    Zdzisław Brzeźniak

  • Stochastic partial differential equations in M-type 2 Banach spaces

    Zdzisław Brzeźniak

  • Asymptotic compactness and absorbing sets for 2D stochastic Navier-Stokes equations on some unbounded domains

    Unknown

  • Existence of global solutions and invariant measures for stochastic differential equations driven by Poisson type noise with non-Lipschitz coefficients

    Sergio Albeverio;Zdzisław Brzeźniak;Jiang-Lun Wu

  • Existence of a martingale solution of the stochastic Navier–Stokes equations in unbounded 2D and 3D domains

    Zdzisław Brzeźniak;Elżbieta Motyl

  • Stochastic nonlinear beam equations

    Zdzisław Brzeźniak;Bohdan Maslowski;Jan Seidler

  • Stochastic Navier-stokes equations with multiplicative noise

    Z. Brzeźniak;M. Capiński;F. Flandoli

  • Strong solutions for SPDE with locally monotone coefficients driven by Lévy noise

    Zdzisław Brzeźniak;Wei Liu;Wei Liu;Jiahui Zhu

  • Fundamental Solution of the Heat and Schrödinger Equations with Point Interaction

    S. Albeverio;Z. Brzezniak;L. Dabrowski

  • Stochastic two dimensional euler equations

    Unknown

  • Space-time continuous solutions to SPDE's driven by a homogeneous Wiener process

    Zdzisław Brzeźniak;Szymon Peszat

  • Ito's formula in UMD Banach spaces and regularity of solutions of the Zakai equation

    Z. Brzeźniak;J.M.A.M. van Neerven;M.C. Veraar;L. Weis

  • STOCHASTIC PARTIAL DIFFERENTIAL EQUATIONS AND TURBULENCE

    Z. Brzeźniak;M. Capiński;F. Flandoli

  • Almost sure approximation of Wong-Zakai type for stochastic partial differential equations

    Zdzisław Brzeźniak;Franco Flandoli

  • Invariant measures for stochastic nonlinear beam and wave equations

    Zdzisław Brzeźniak;Martin Ondreját;Jan Seidler

  • On the Stochastic Strichartz Estimates and the Stochastic Nonlinear Schrödinger Equation on a Compact Riemannian Manifold

    Z. Brzeźniak;A. Millet

  • Regularity of Ornstein–Uhlenbeck Processes Driven by a Lévy White Noise

    Zdzisław Brzeźniak;Jerzy Zabczyk

  • 2D stochastic Navier–Stokes equations driven by jump noise

    Zdzisław Brzeźniak;Erika Hausenblas;Jiahui Zhu;Jiahui Zhu

  • Invariant measure for the stochastic Navier–Stokes equations in unbounded 2D domains

    Zdzisław Brzeźniak;Elżbieta Motyl;Martin Ondrejat

  • Finite-element-based discretizations of the incompressible Navier–Stokes equations with multiplicative random forcing

    Zdzislaw Brzeźniak;Erich Carelli;Andreas Prohl

  • Stochastic convolution in separable Banach spaces and the stochastic linear Cauchy problem

    Zdzisław Brzeźniak;Jan van Neerven

  • Finite Dimensional Approximation Approach to Oscillatory Integrals and Stationary Phase in Infinite Dimensions

    S. Albeverio;Z. Brzezniak

  • Strong solutions for SPDE with locally monotone coefficients driven by L'{e}vy noise

    Zdzisław Brzeźniak;Wei Liu;Jiahui Zhu

Frequent Co-Authors

Franco Flandoli
Franco Flandoli Scuola Normale Superiore di Pisa
Sergio Albeverio
Sergio Albeverio University of Bonn
Andreas Prohl
Andreas Prohl University of Tübingen
Viorel Barbu
Viorel Barbu Alexandru Ioan Cuza University
Jerzy Zabczyk
Jerzy Zabczyk Polish Academy of Sciences
Lutz Weis
Lutz Weis Karlsruhe Institute of Technology
José A. Langa
José A. Langa University of Seville
Massimiliano Gubinelli
Massimiliano Gubinelli University of Oxford
Tomás Caraballo
Tomás Caraballo University of Seville
José Real
José Real University of Seville

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