P. Plotnikov

发表

Boundary value problems for transport equations

J. Sokolowski, P. Plotnikov, J. Sokołowski, 2012 .

HOPF SOLUTIONS TO A FLUID-ELASTIC INTERACTION MODEL

P. Plotnikov, M. Guidorzi, M. Padula, 2008 .

Compressible Navier-Stokes equations

Jan Sokolowski, Pavel I. Plotnikov, J. Sokolowski, 2012 .

Shape Sensitivity Analysis of the Work Functional for the Compressible Navier–Stokes Equations

J. Sokolowski, P. Plotnikov, J. Sokołowski, 2014 .

Numerical method for drag minimization in compressible flows

J. Sokolowski, P. Plotnikov, A. Zochowski, 2010, 2010 15th International Conference on Methods and Models in Automation and Robotics.

Shape Optimization for Navier-Stokes Equations

J. Sokolowski, P. Plotnikov, J. Sokołowski, 2007 .

Shape Differentiability of Drag Functional for Compressible Navier-Stokes Equations

E. V. Ruban, J. Sokolowski, P. Plotnikov, 2009 .

Stationary solutions of Navier-Stokes equations for diatomic gases

J. Sokolowski, P. Plotnikov, J. Sokołowski, 2007 .

On a certain class of curves arising in a free boundary problem for stokes flows

P. Plotnikov, 1995 .

Strain-gradient theory of hydroelastic travelling waves and young measures of their singular limits

J. Toland, P. Plotnikov, 2012 .

Ill-posedness of the nonlinear problem of the development of Taylor instability

P. Plotnikov, 1983 .

Asymmetrical Three-Dimensional Travelling Gravity Waves

G. Iooss, P. Plotnikov, 2011 .

On the Energy of a Hydroelastic System: Blood Flow in an Artery with a Cerebral Aneurysm

P. Plotnikov, A. Chupakhin, A. Khe, 2019, Journal of Applied Mechanics and Technical Physics.

Global solution to a quasistationary Penrose-Fife model

P. Plotnikov, P. Colli, 2005 .

Numerical experiments in drag minimization for compressible Navier-Stokes flows in bounded domains

J. Sokolowski, P. Plotnikov, A. Zochowski, 2009 .

Mathematical Modeling of Neo-Hookean Material Growth

P. Plotnikov, 2021, Doklady Mathematics.

Modeling the isotropic growth of incompressible neo-Hookean material

P. Plotnikov, 2021, Sibirskii zhurnal industrial'noi matematiki.

Nonconvex Model of Material Growth: Mathematical Theory

P. Plotnikov, J. Ganghoffer, J. Sokołowski, 2018, Archive for Rational Mechanics and Analysis.

Mathematical modeling of volumetric material growth

P. Plotnikov, J. Ganghoffer, J. Sokołowski, 2014, Archive of Applied Mechanics.

Mathematical Modeling of Volumetric Material Growth in Thermoelasticity

P. Plotnikov, J. Ganghoffer, J. Sokołowski, 2014 .

On the Energy of a Hydroelastic System: Blood Flow in an Artery with a Cerebral Aneurysm

P. Plotnikov, A. Chupakhin, A. Khe, 2019, Journal of Applied Mechanics and Technical Physics.

Existence of three-dimensional waves on the surface of an ideal fluid

P. Plotnikov, 1983 .

EXISTENCE OF THREE-DIMENSIONAL ON THE SURFACE OF AN IDEAL FLUID

P. Plotnikov, 1983 .

Nash-Moser Theory for Standing Water Waves

Pavel I. Plotnikov, J. Toland, P. Plotnikov, 2001 .

Small Divisor Problem in the Theory of Three-dimensional Water Gravity Waves

G. Iooss, P. Plotnikov, 2006, math/0601551.

Standing Waves on an Infinitely Deep Perfect Fluid Under Gravity

Pavel I. Plotnikov, G. Iooss, J. Toland, 2005 .

Kinetic equation method for problems of viscous gas dynamics with rapidly oscillating density distributions

P. Plotnikov, S. Sazhenkov, 2013 .

Mathematical modeling of volumetric material growth

P. Plotnikov, J. Ganghoffer, J. Sokołowski, 2014 .

A FUNCTION THEORY METHOD IN BOUNDARY VALUE PROBLEMS IN THE PLANE. I: THE SMOOTH CASE

P. Plotnikov, N. Zhura, M. Sirazhudinov, 2017 .

Concentrations of Solutions to Time-Discretizied Compressible Navier-Stokes Equations

P. Plotnikov, J. Sokołowski, 2005 .

Stefan Problem with Surface Tension as a Limit of the Phase Field Model

P. Plotnikov, V. Starovoitov, 1992 .

Stationary Boundary Value Problems for Compressible Navier-Stokes equations ?

P. Plotnikov, J. Sokolowski, P. I. Plotnikov, 2008 .

Domain Dependence of Solutions to Compressible Navier--Stokes Equations

J. SOKOLOWSKI, P. I. PLOTNIKOV, P. Plotnikov, 2006, SIAM Journal of Control and Optimization.

On Compactness, Domain Dependence and Existence of Steady State Solutions to Compressible Isothermal Navier–Stokes Equations

Pavel I. Plotnikov, P. Plotnikov, J. Sokolowski, 2005 .

Stationary boundary value problems for Navier-Stokes equations with adiabatic index γ < 3/2

P. Plotnikov, J. Sokolowski, P. I. Plotnikov, 2004 .

A Proof of H\'elein's Conjecture on Boundedness of Conformal Factors when n=3.

J. Toland, P. Plotnikov, 2020, 2010.15017.

Compressible Navier-Stokes Equations: Theory and Shape Optimization

Jan Sokołowski, Pavel I. Plotnikov, P. Plotnikov, 2012 .

V All-Russian Conference with Foreign Participants "Free Boundary Problems: Theory, Experiment and Applications"

G. V. Leonov, S. V. Alekseenko, A. G. Knyazeva, 2014 .

Variational problems in the theory of hydroelastic waves

J. Toland, P. Plotnikov, 2018, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

Isothermal Navier-Stokes Equations and Radon Transform

Pavel I. Plotnikov, W. Weigant, P. Plotnikov, 2014, SIAM J. Math. Anal..

NONUNIQUENESS OF SOLUTIONS OF THE PROBLEM OF SOLITARY WAVES AND BIFURCATION OF CRITICAL POINTS OF SMOOTH FUNCTIONALS

P. Plotnikov, 1992 .

EXISTENCE OF A COUNTABLE SET OF PERIODIC SOLUTIONS OF THE PROBLEM OF FORCED OSCILLATIONS FOR A WEAKLY NONLINEAR WAVE EQUATION

P. Plotnikov, 1989 .

Geometric Aspects of Shape Optimization

P. Plotnikov, J. Sokołowski, 2023, The Journal of Geometric Analysis.

Convexity of Stokes Waves of Extreme Form

J. Toland, P. Plotnikov, 2004 .

The Fourier Coefficients of Stokes’ Waves

J. Toland, P. Plotnikov, 2002 .

Inhomogeneous Boundary Value Problems for Compressible Navier-Stokes Equations: Well-Posedness and Sensitivity Analysis

Jan Sokolowski, E. V. Ruban, Pavel I. Plotnikov, 2008, SIAM J. Math. Anal..

Kolmogorov’s theorem for low-dimensional invariant tori of hamiltonian systems

P. Plotnikov, I. Kuznetsov, 2011, 1506.00383.

Nonconvex Model of Material Growth: Mathematical Theory

P. Plotnikov, J. Ganghoffer, J. Sokołowski, 2018 .

Refinement of Hélein’s conjecture on boundedness of conformal factors when n=3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{doc

J. Toland, P. Plotnikov, 2023, Annali di Matematica Pura ed Applicata (1923 -).

Phase transitions with a minimal number of jumps in the singular limits of higher order theories

J. Toland, P. Plotnikov, 2010 .

Shape Sensitivity Analysis for Compressible Navier-Stokes Equations

Jan Sokolowski, E. V. Ruban, Pavel I. Plotnikov, 2007, System Modelling and Optimization.

Concentrations Problem for Solutions to Compressible Navier–Stokes Equations

P. Plotnikov, 2020, Doklady. Mathematics.

Volumetric material growth: Mathematical theory

P. Plotnikov, J. Ganghoffer, J. Sokołowski, 2016, Doklady. Mathematics.

Initial-boundary value problem for isothermal viscous gas equations

P. Plotnikov, W. Weigant, 2014 .

A Proof of the Stokes Conjecture in the Theory of Surface Waves

P. Plotnikov, 2002 .

Multimodal Standing Gravity Waves: a Completely Resonant System

G. Iooss, P. Plotnikov, 2005 .

Existence of a directional Stokes drift in asymmetrical three-dimensional travelling gravity waves

G. Iooss, P. Plotnikov, 2009 .

Optimal shape control of airfoil in compressible gas flow governed by Navier-Stokes equations

P. Plotnikov, J. Sokołowski, 2013 .

Properties of the solution of a variational problem concerning the motion of a rigid body in a Stokes fluid

P. Plotnikov, V. Starovoitov, B. N. Starovoitova, 2012 .

Shape Derivative of Drag Functional

Jan Sokolowski, Pavel I. Plotnikov, P. Plotnikov, 2010, SIAM J. Control. Optim..