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Department of Computer Science and Computational Engineering andrey.piatnitski@uit.no +4776966127 You can find me here

Andrei Piatnitski



  • Andrei Piatnitski, Alexey Shamaev, Elena Zhizhina :
    Mathematical multi-scale model of water purification
    Mathematical Methods in the Applied Sciences 30. November 2023 ARKIV / DOI
  • Andrei Piatnitski, Vladimir Sloushch, Tatiana Suslina, Elena Zhizhina :
    On operator estimates in homogenization of nonlocal operators of convolution type
    Journal of Differential Equations 2023 ARKIV / DOI
  • Andro Mikelić, Andrei Piatnitski :
    Homogenization of the linearized ionic transport equations in random porous media
    Nonlinearity 2023 ARKIV / DOI
  • Andrei Piatnitski, Elena Zhizhina :
    Homogenization of Non-Autonomous Operators of Convolution Type in Periodic Media
    Markov Processes and Related Fields 2023 ARKIV / DOI
  • D.I. Borisov, Andrei Piatnitski, Elena Zhizhina :
    Spectrum of One-Dimensional Potential Perturbed by a Small Convolution Operator: General Structure
    Mathematics 2023 ARKIV / DOI
  • Brahim Amaziane, Andrei Piatnitski, Elena Zhizhina :
    HOMOGENIZATION OF DIFFUSION IN HIGH CONTRAST RANDOM MEDIA AND RELATED MARKOV SEMIGROUPS
    Discrete and continuous dynamical systems. Series B 2023 DOI
  • Marina Kleptsyna, Andrei Piatnitski, Alexandre Popier :
    Asymptotic decomposition of solutions to parabolic equations with a random microstructure
    Pure and Applied Functional Analysis 2022
  • Andrea Braides, Andrei Piatnitski :
    Homogenization of Ferromagnetic Energies on Poisson Random Sets in the Plane
    Archive for Rational Mechanics and Analysis 2022 ARKIV / DOI
  • D.I. Borisov, Andrei Piatnitski, E.A. Zhizhina :
    On the spectrum of convolution operator with a potential
    Journal of Mathematical Analysis and Applications 2022 ARKIV / DOI
  • Andrei Piatnitski, Sergei Pirogov, Elena Zhizhina :
    Large deviations for Markov jump processes in periodic and locally periodic environments
    The Annals of Applied Probability 2022 ARKIV / DOI
  • Roberto Alicandro, Andrea Braides, Marco Cicalese, Lucia De Luca, Andrey Piatnitski :
    Topological Singularities in Periodic Media: Ginzburg–Landau and Core-Radius Approaches
    Archive for Rational Mechanics and Analysis 2021 ARKIV / DOI
  • Brahim Amaziane, M. Jurak, Leonid Pankratov, Andrei Piatnitski :
    Homogenization of nonisothermal immiscible incompressible two-phase flow in double porosity media
    Nonlinear Analysis: Real world applications 2021 DOI
  • Brahim Amaziane, L. Pankratov, Andrei Piatnitski :
    Homogenization of immiscible compressible two–phase flow in random porous media
    Journal of Differential Equations 2021 DOI
  • Andrea Braides, Andrey Piatnitski :
    Homogenization of random convolution energies
    Journal of the London Mathematical Society 2021 DOI
  • Andrey Piatnitski, Mariya Ptashnyk :
    Homogenization of biomechanical models of plant tissues with randomly distributed cells
    Nonlinearity 2020 ARKIV / DOI
  • Yuri Kondratiev, Andrey Piatnitski, Elena Zhizhina :
    Asymptotics of fundamental solutions for time fractional equations with convolution kernels
    Fractional Calculus and Applied Analysis 2020 ARKIV / DOI
  • Andrea Braides, Andrey Piatnitski :
    Homogenization of quadratic convolution energies in periodically perforated domains
    Advances in Calculus of Variations 2020 DOI
  • Andrey Piatnitski, Elena Zhizhina :
    Homogenization of biased convolution type operators
    Asymptotic Analysis 2019 ARKIV / OMTALE / DOI
  • Andrey Piatnitski, Elena Zhizhina :
    Stochastic homogenization of convolution type operators
    Journal des Mathématiques Pures et Appliquées 2019 DATA / DOI
  • Moritz Kassmann, Andrey Piatnitski, Elena Zhizhina :
    Homogenization of Levy-type operators with oscillating coefficients
    SIAM Journal on Mathematical Analysis 2019 ARKIV / OMTALE / DOI
  • Andrey Piatnitski, Volodymyr Rybalko :
    Singularly perturbed spectral problems in a thin cylinder with fourier conditions on its bases
    Journal of Mathematical Physics, Analysis, Geometry 2019 ARKIV / DOI
  • Andrey Piatnitski, S Pirogov, E Zhizhina :
    Limit behaviour of diffusion in high-contrast periodic media and related Markov semigroups
    Applicable Analysis 2019 ARKIV / FULLTEKST / DOI
  • Yuri Kondratiev, Stanislav Molchanov, Andrey Piatnitski, Elena Zhizhina :
    Resolvent bounds for jump generators
    Applicable Analysis 2018 ARKIV / DOI
  • Andrey Piatnitski, Gregory A. Chechkin, Rustem R Gadyl'shin :
    On the asymptotic behaviour of eigenvalues of a boundary-value problem in a planar domain of Steklov sieve type
    Izvestiya: Mathematics 2018 DOI
  • P Mathieu, Andrey Piatnitski :
    Steady States, Fluctuation?Dissipation Theorems and Homogenization for Reversible Diffusions in a Random Environment
    Archive for Rational Mechanics and Analysis 2018 ARKIV / FULLTEKST / DOI
  • Andrea Braides, Andrea Causin, Andrey Piatnitski, Margherita Solci :
    Asymptotic Behaviour of Ground States for Mixtures of Ferromagnetic and Antiferromagnetic Interactions in a Dilute Regime
    Journal of statistical physics 2018 ARKIV / DOI
  • Brahim Amaziane, Murat Jurak, Leonid Pankratov, Andrey Piatnitski :
    Homogenization of nonisothermal immiscible incompressible two-phase flow in porous media
    Nonlinear Analysis: Real world applications 2018 FULLTEKST / ARKIV / DOI
  • Alexander Grigor'yan, Yuri Kondratiev, Andrey Piatnitski, Elena Zhizhina :
    Pointwise estimates for heat kernels of convolution-type operators
    Proceedings of the London Mathematical Society 2018 ARKIV / DOI
  • Irina Pettersson, Andrey Piatnitski :
    Stationary convection-diffusion equation in an infinite cylinder
    Journal of Differential Equations 2017 ARKIV / DOI
  • Grégoire Allaire, Andrey Piatnitski :
    On the asymptotic behaviour of the kernel of an adjoint convection-diffusion operator in a long cylinder
    Revista matemática iberoamericana 2017 DOI
  • Andrey Piatnitski, Elena Zhizhina :
    Scaling limit of symmetric random walk in high-contrast periodic environment
    Journal of statistical physics 2017 DOI
  • Andrey Piatnitski, Elena Zhizhina :
    Periodic homogenization of nonlocal operators with a convolution-type kernel
    SIAM Journal on Mathematical Analysis 2017 ARKIV / DOI
  • Andrey Piatnitski, Mariya Ptashnyk :
    Homogenization of biomechanical models for plant tissues
    Multiscale Modeling & simulation 2017 ARKIV / DOI
  • Brahim Amaziane, Leonid Pankratov, Andrey Piatnitski :
    An improved homogenization result for immiscible compressible two-phase flow in porous media
    Networks and Heterogeneous Media 2017 DOI
  • Brahim Amaziane, Mladen Jurac, Leonid Pankratov, Andrey Piatnitski :
    An existence result for nonisothermal immiscible incompressible 2-phase flow in heterogeneous porous media
    Mathematical Methods in the Applied Sciences 2017 DOI
  • Alexei Heintz, Andrey Piatnitski :
    Osmosis for non-electrolyte solvents in permeable periodic porous media
    Networks and Heterogeneous Media 2016 ARKIV / DOI
  • Andrey Piatnitski, Vasily Zhikov :
    Homogenization of random Navier–Stokes-type system for electrorheological fluid
    Journal of Differential Equations 2016 ARKIV / DOI
  • Antonio Gaudiello, Grigory Panasenko, Andrey Piatnitski :
    Asymptotic analysis and domain decomposition for a biharmonic problem in a thin multi-structure
    Communications in Contemporary Mathematics 2016 DOI
  • Rustem R. Gadyl'shin, Andrey Piatnitski, Gregory Chechkin :
    Spectral problem with Steklov condition on a thin perforated interface
    Doklady. Mathematics 2016 DOI
  • Youcef Amirat, Olivier Bodart, Gregory Chechkin, Andrey Piatnitski :
    Asymptotics of a spectral-sieve problem
    Journal of Mathematical Analysis and Applications 2016 ARKIV / DOI
  • Andrey Piatnitski, V Rybalko :
    On the first eigenpair of singularly perturbed operators with oscillating coefficients
    Communications in Partial Differential Equations 2015 DOI
  • Andrea Braides, Valeria Chiado Piat, Andrey Piatnitski :
    Homogenization of discrete high-contrast energies
    SIAM journal on computing (Print) 2015 DOI
  • Rita Ferreira, M. Luisa Mascarenhas, Andrey Piatnitski :
    Spectral analysis in thin tubes with axial heterogeneities
    Portugaliae Mathematica 2015 DOI
  • Andrey Piatnitski, A Rybalko, V Rybalko :
    Singularly perturbed spectral problems with Neumann boundary conditions
    Complex Variables and Elliptic Equations 2015 ARKIV / DOI
  • M. Kleptsyna, Andrei Piatnitski, A. Popier :
    Homogenization of random parabolic operators. Diffusion approximation
    Stochastic Processes and their Applications 2015 DOI
  • Brahim Amaziane, Leonid Pankratov, Andrey Piatnitski :
    Homogenization of immiscible compressible two-phase flow in highly heterogeneous porous media with discontinuous capillary pressures
    Mathematical Models and Methods in Applied Sciences 2014 DOI
  • GA Chechkin, C D'Apice, U De Maio, Andrey Piatnitski :
    On the rate of convergence of solutions in domain with random multilevel oscillating boundary
    Asymptotic Analysis 2014 DOI
  • Andrei Piatnitski, Elena Zhizhina :
    Remembering Nikita: Life Devoted to Friendship. Section 4.
    Markov Processes and Related Fields 2023 FULLTEKST
  • Grégoire Allaire, Brahim Amaziane, Robert Gilbert, Willy Jäger, Andrei Piatnitski, Bogdan Vernescu :
    Introduction to the Andro Mikelic memorial volume
    Applicable Analysis 2022 DOI
  • Denis Borisov, Andrei Piatnitski, Elena Zhizhina :
    Spectrum of a convolution operator with potential
    Russian Mathematical Surveys 2022 DOI

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