World's Best Scientists 2026 revealed!

Overview

Andrey Piatnitski is affiliated with the University of Tromsø - The Arctic University of Norway. Their research primarily spans the fields of Mathematics, Computer Science, and Engineering with a strong focus on applied and computational aspects.

The main areas of study include:

  • Computational Theory and Mathematics
  • Mathematical Physics
  • Applied Mathematics
  • Computational Mechanics
  • Mechanics of Materials

The scientist's work covers several advanced topics such as:

  • Advanced Mathematical Modeling in Engineering
  • Numerical methods in inverse problems
  • Nonlinear Partial Differential Equations
  • Advanced Numerical Methods in Computational Mathematics
  • Composite Material Mechanics
  • Spectral Theory in Mathematical Physics
  • Stochastic processes and financial applications

Andrey Piatnitski has contributed to a variety of scholarly papers, with recent notable publications including:

  • "On operator estimates in homogenization of nonlocal operators of convolution type," 2023, Journal of Differential Equations
  • "Homogenization of random convolution energies," 2021, Journal of the London Mathematical Society
  • "Homogenization of immiscible compressible two-phase flow in random porous media," 2020, arXiv (Cornell University)
  • "Topological Singularities in Periodic Media: Ginzburg-Landau and Core-Radius Approaches," 2021, Archive for Rational Mechanics and Analysis
  • "On the spectrum of convolution operator with a potential," 2022, Journal of Mathematical Analysis and Applications

The scientist has also authored a book titled A Variational Theory of Convolution-Type Functionals, published in 2023 under SpringerBriefs on PDEs and Data Science.

Frequent collaborators in their research projects include:

  • Е. Г. Жижина
  • Andrea Braides
  • Roberto Alicandro
  • Nadia Ansini
  • Antonio Tribuzio

Andrey Piatnitski's publications often appear in journals and venues such as:

  • arXiv (Cornell University)
  • Journal of Differential Equations
  • Archive for Rational Mechanics and Analysis
  • Mathematical Methods in the Applied Sciences
  • Nonlinear Analysis Real World Applications

Best Publications

  • Approximations of effective coefficients in stochastic homogenization

    Alain Bourgeat;Andrey Piatnitski;Andrey Piatnitski

  • Quenched invariance principles for random walks on percolation clusters

    P. Mathieu;A. L. Piatnitski

  • The Boundary-value Problem in Domains with Very Rapidly Oscillating Boundary☆

    Gregory A. Chechkin;Avner Friedman;Andrey L. Piatnitski

  • Homogenization of the Schrödinger Equation and Effective Mass Theorems

    Grégoire Allaire;Andrey Piatnitski

  • Homogenization: Methods and Applications

    G. A. Chechkin;A. L. Piatnitski;A. S. Shamev

  • Two-scale expansion with drift approach to the Taylor dispersion for reactive transport through porous media

    Grégoire Allaire;Robert Brizzi;Andro Mikelic;Andrey Piatnitski

  • Estimates in probability of the residual between the random and the homogenized solutions of one‐dimensional second‐order operator

    A. Bourgeat;A. Piatnitski;P. Michelon

  • HOMOGENIZATION APPROACH TO THE DISPERSION THEORY FOR REACTIVE TRANSPORT THROUGH POROUS MEDIA

    Grégoire Allaire;Andro Mikelic;Andrey L. Piatnitski

  • Homogenization of a singular random one-dimensional PDE

    Bogdan Iftimie;Étienne Pardoux;Andrey Piatnitski

  • Homogenization of surface and length energies for spin systems

    Andrea Braides;Andrey Piatnitski;Andrey Piatnitski

  • Homogenization of the linearized ionic transport equations in rigid periodic porous media

    Grégoire Allaire;Andro Mikelic;Andrey L. Piatnitski;Andrey L. Piatnitski

  • Homogenization of Boundary-Value Problem in a Locally Periodic Perforated Domain

    Gregory A. Chechkin;Andrey L. Piatnitski

  • Homogenization of Immiscible Compressible Two-Phase Flow in Porous Media: Application to Gas Migration in a Nuclear Waste Repository

    Brahim Amaziane;Stanislav N. Antontsev;Leonid Pankratov;Andrey Piatnitski

  • Homogenization of a nonlinear convection-diffusion equation with rapidly oscillating coefficients and strong convection

    Eduard Marušić-Paloka;Andrey L. Piatnitski

  • Khasminskii–Whitham averaging for randomly perturbed KdV equation

    Sergei B. Kuksin;Sergei B. Kuksin;Andrey L. Piatnitski;Andrey L. Piatnitski

  • Homogenization of a nonlinear random parabolic partial differential equation

    E. Pardoux;A.L. Piatnitski

  • Homogenization of Periodic Systems with Large Potentials

    Grégoire Allaire;Yves Capdeboscq;Andrey Piatnitski;Vincent Siess

  • Periodic Homogenization of Nonlocal Operators with a Convolution-Type Kernel

    Andrey L. Piatnitski;Elena A. Zhizhina

  • Ion transport in porous media: derivation of the macroscopic equations using up-scaling and properties of the effective coefficients

    Grégoire Allaire;Robert Brizzi;Jean-François Dufrêche;Andro Mikelić

  • Periodic homogenization of non-local operators with a convolution type kernel

    Andrey Piatnitski;Elena Zhizhina

Frequent Co-Authors

Grégoire Allaire
Grégoire Allaire École Polytechnique
Andrea Braides
Andrea Braides University of Rome Tor Vergata
Andro Mikelić
Andro Mikelić Claude Bernard University Lyon 1
Etienne Pardoux
Etienne Pardoux Aix-Marseille University
Stanislav Molchanov
Stanislav Molchanov University of North Carolina at Charlotte
Alexander Grigor'yan
Alexander Grigor'yan Bielefeld University
Vladimir I. Bogachev
Vladimir I. Bogachev National Research University Higher School of Economics
Igor Chueshov
Igor Chueshov V. N. Karazin Kharkiv National University
Martin Hairer
Martin Hairer Imperial College London
Yakov G. Sinai
Yakov G. Sinai Princeton University

If you think any of the details on this page are incorrect, let us know.

Report an issue

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Related Online Degrees & Career Pathways

For those studying Mathematics in the USA, expanding skills through related online degrees can open diverse career opportunities. For example, pursuing one of the shortest online MBA programs offers a quick transition into management roles, combining analytical prowess with leadership skills.

Similarly, a master's degree in marketing can complement mathematical knowledge with strategic market insights, boosting career prospects in data-driven marketing and analytics.

For professionals aiming for accelerated career growth, exploring one year MBA programs offers an intensive curriculum without extended time commitment, ideal for blending quantitative skills with business strategy.

Additionally, flexibility in education is crucial. Many students benefit from programs that accommodate prior learning through policies on can you transfer MBA programs, helping reduce time and costs while advancing their careers efficiently.

Best Scientists Citing Andrey Piatnitski

Trending Scientists

Recently Published Articles