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Dihtorteknologiija ja meroštanvuđot inšenevrafágaid instituhtta andrey.piatnitski@uit.no +4776966127 Narvik NARVIK_BL-D D3490

Piatnitski, Andrei



  • Andrea Braides, Andrei Piatnitski :
    Homogenization of Ferromagnetic Energies on Poisson Random Sets in the Plane
    Archive for Rational Mechanics and Analysis 2022 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 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
  • Andrea Braides, Andrey Piatnitski :
    Homogenization of random convolution energies
    Journal of the London Mathematical Society 2021 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
  • 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, Mariya Ptashnyk :
    Homogenization of biomechanical models of plant tissues with randomly distributed cells
    Nonlinearity 2020 ARKIV / DOI
  • Andrey Piatnitski, Elena Zhizhina :
    Stochastic homogenization of convolution type operators
    Journal des Mathématiques Pures et Appliquées 2019 DATA / 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, Elena Zhizhina :
    Homogenization of biased convolution type operators
    Asymptotic Analysis 2019 ARKIV / OMTALE / 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, S Pirogov, E Zhizhina :
    Limit behaviour of diffusion in high-contrast periodic media and related Markov semigroups
    Applicable Analysis 2019 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
  • 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
  • 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
  • Yuri Kondratiev, Stanislav Molchanov, Andrey Piatnitski, Elena Zhizhina :
    Resolvent bounds for jump generators
    Applicable Analysis 2018 ARKIV / 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
  • 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
  • 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
  • G Allaire, Robert Brizzi, J-F Dufreche, A Mikelic, Andrey Piatnitski :
    Role of non-ideality for the ion transport in porous media: Derivation of the macroscopic equations using upscaling
    Physica D : Non-linear phenomena 2014 DOI
  • Andrey Piatnitski, A Rybalko, Volodymyr Rybalko :
    Ground states of singularly perturbed convection-diffusion equation with oscillating coefficients
    E S A I M: Control, Optimisation and Calculus of Variations 2014 DOI
  • Martin Hairer, Etienne Pardoux, Andrey Piatnitski :
    Random homogenisation of a highly oscillatory singular potential
    Stochastics and Partial Differential Equations: Analysis and Computations 2013 DOI
  • Grégoire Allaire, Robert Brizzi, Jean-François Dufrêche, Andro Mikelic, Andrey Piatnitski :
    Ion transport in porous media: derivation of the macroscopic equations using upscaling and properties of the effective coefficients
    Computational Geosciences 2013 DOI
  • VC Piat, Iryna Pankratova, Andrey Piatnitski :
    LOCALIZATION EFFECT FOR A SPECTRAL PROBLEM IN A PERFORATED DOMAIN WITH FOURIER BOUNDARY CONDITIONS
    SIAM Journal on Mathematical Analysis 2013 DOI
  • G Allaire, JF Dufreche, A Mikelic, Andrey Piatnitski :
    Asymptotic analysis of the Poisson-Boltzmann equation describing electrokinetics in porous media
    Nonlinearity 2013 DOI
  • Brahim Amaziane, Leonid Pankratov, Andrey Piatnitski :
    The existence of weak solutions to immiscible compressible two-phase flow in porous media: The case of fields with different rock-types
    Discrete and continuous dynamical systems. Series B 2013 DOI
  • Andrea Braides, Andrey Piatnitski :
    Homogenization of surface and length energies for spin systems
    Journal of Functional Analysis 2013 DOI
  • Nina Gantert, Pierre Mathieu, Andrey Piatnitski :
    Einstein relation for reversible diffusions in a random environment
    Communications on Pure and Applied Mathematics 2012 DOI
  • Grégoire Allaire, Iryna Pankratova, Andrey Piatnitski :
    Homogenization and concentration for a diffusion equation with large convection in a bounded domain
    Journal of Functional Analysis 2012 DOI
  • Valeria Chiado Piat, Sergey Nazarov, Andrey Piatnitski :
    Steklov problems in perforated domains with a coefficient of indefinite sign
    Networks and Heterogeneous Media 2012 FULLTEKST / DOI
  • Grégoire Allaire, Brahim Amaziane, Robert Gilbert, Willy Jäger, Andrei Piatnitski, Bogdan Vernescu :
    Introduction to the Andro Mikelic memorial volume
    Applicable Analysis 2022 DOI

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