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Alexander Komech

Alexander Komech

Overview

Alexander Komech is affiliated with the University of Vienna in Austria. Their research primarily spans the fields of Mathematics and Physics and Astronomy, with a significant focus on Mathematical Physics, Statistical and Nonlinear Physics, and Applied Mathematics. Additional subfields include Control and Systems Engineering as well as Numerical Analysis.

The scientist's work centers around several key topics, notably Advanced Mathematical Physics Problems, Nonlinear Waves and Solitons, Nonlinear Photonic Systems, Stability and Controllability of Differential Equations, Navier-Stokes equation solutions, Numerical methods for differential equations, and Quantum chaos and dynamical systems.

Alexander Komech has contributed to multiple research papers, with recent publications including the following:

  • On quantum jumps and attractors of the Maxwell-Schrödinger equations, 2021, Annales mathématiques du Québec
  • On the Hamilton-Poisson structure and solitons for the Maxwell-Lorentz equations with spinning particle, 2023, Journal of Mathematical Analysis and Applications
  • On the Stability of Solitons for the Maxwell-Lorentz Equations with Rotating Particle, 2023, Milan Journal of Mathematics
  • On momentum map for the Maxwell-Lorentz equations with spinning particle, 2024, International Journal of Geometric Methods in Modern Physics

Several frequent co-authors collaborating with Alexander Komech include:

  • Elena Kopylova
  • Andrew Comech
  • M. M. Vishik
  • M. I. Vishik
  • Anatoli Merzon

The scientist publishes regularly in venues such as arXiv (Cornell University), Journal of Mathematical Physics, Annales mathématiques du Québec, Journal of Mathematical Analysis and Applications, and the International Journal of Geometric Methods in Modern Physics.

Alexander Komech also has authored several books published by notable academic publishers. These include:

  • Lectures on Quantum Mechanics and Attractors, 2021, World Scientific
  • Attractors of Hamiltonian Nonlinear Partial Differential Equations, 2021, Cambridge University Press
  • Partial Differential Equations and Functional Analysis, 2023, Springer Nature

Best Publications

  • Long-time asymptotics for a classical particle interacting with a scalar wave field

    A. Komech;H. Spohn;M. Kunze

  • Linear Partial Differential Equations with Constant Coefficients

    A. I. Komech

  • Long—time asymptotics for the coupled maxwell—lorentz equations

    Alexander Komech;Herbert Spohn

  • Effective Dynamics for a Mechanical Particle Coupled to a Wave Field

    Alexander Komech;Markus Kunze;Herbert Spohn

  • SOME MATHEMATICAL PROBLEMS OF STATISTICAL HYROMECHANICS

    M I Vishik;A I Komech;A V Fursikov

  • On Stabilization of String-Nonlinear Oscillator Interaction

    A.I. Komech

  • Soliton-like asymptotics for a classical particle interacting with a scalar wave field

    Alexander Komech;Herbert Spohn

  • On the convergence to statistical equilibrium for harmonic crystals

    T. V. Dudnikova;A. I. Komech;H. Spohn

  • Dispersive Estimates for 1D Discrete Schrodinger and Klein-Gordon Equations

    A. I. Komech;E. A. Kopylova;M. Kunze

  • On Scattering of Solitons for the Klein–Gordon Equation Coupled to a Particle

    Valery Imaikin;Alexander Komech;Boris Vainberg

  • On Asymptotic Stability of Kink for Relativistic Ginzburg–Landau Equations

    E. A. Kopylova;A. I. Komech

  • Elements of the modern theory of partial differential equations

    I︠u︡. V. Egorov;A. I. Komech;M. A. Shubin

  • Global Attractor for a Nonlinear Oscillator Coupled to the Klein–Gordon Field

    Alexander Komech;Andrew Komech

  • On Asymptotic Stability of Solitary Waves in Schrödinger Equation Coupled to Nonlinear Oscillator

    V. S. Buslaev;A. I. Komech;E. A. Kopylova;D. Stuart

  • Dispersion Decay and Scattering Theory

    A. I Komech;Elena Kopylova

  • Soliton-Type Asymptotics for the Coupled Maxwell-Lorentz Equations

    Valery Imaikin;Alexander Komech;Norbert Mauser

  • On Transitions to Stationary States in One‐Dimensional Nonlinear Wave Equations

    Alexander Komech

  • On Sommerfeld representation and uniqueness in scattering by wedges

    A. I. Komech;N. J. Mauser;A. E. Merzon

  • SCATTERING THEORY FOR A PARTICLE COUPLED TO A SCALAR FIELD

    Valery Imaikin;Alexander Komech;Herbert Spohn

  • Rotating Charge Coupled to the Maxwell Field: Scattering Theory and Adiabatic Limit

    Valery Imaikin;Alexander Komech;Herbert Spohn

Frequent Co-Authors

Herbert Spohn
Herbert Spohn Technical University of Munich
Patrick Joly
Patrick Joly École Nationale Supérieure de Techniques Avancées
Vladimir Maz'ya
Vladimir Maz'ya Linköping University
Peter A. Markowich
Peter A. Markowich King Abdullah University of Science and Technology
Alain Bensoussan
Alain Bensoussan The University of Texas at Dallas
Peter Kuchment
Peter Kuchment Texas A&M University
Mark Freidlin
Mark Freidlin University of Maryland, College Park

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