All Stories

  1. Trapped Modes in a Planar Waveguide with a Small Rigid Obstacle

    Article • January 2026, Springer Science + Business Media

    Professor Peter Zhevandrov

  2. Discrete and Embedded Trapped Modes in a Plane Quantum Waveguide with a Small Obstacle: Exact Solutions

    Article • Acta Applicandae Mathematicae, March 2025, Springer Science + Business Media

    Professor Peter Zhevandrov

  3. Trapped modes and resonances for thin horizontal cylinders in a two-layer fluid

    Article • Wave Motion, November 2021, Elsevier

    Professor Peter Zhevandrov

  4. Water waves trapped by thin submerged cylinders in a two‐layer fluid: Discrete eigenvalue

    Article • Mathematical Methods in the Applied Sciences, June 2018, Wiley

    Professor Peter Zhevandrov

  5. Bound states in weakly deformed waveguides: numerical versus analytical results

    Article • ANZIAM Journal, January 2018, Australian Mathematical Publishing Association, Inc.

    Ph.D. paolo amore, Professor Peter Zhevandrov

  6. BOUND STATES IN WEAKLY DEFORMED WAVEGUIDES: NUMERICAL VERSUS ANALYTICAL RESULTS

    Article • The ANZIAM Journal, October 2017, Cambridge University Press

    Ph.D. paolo amore, Professor Peter Zhevandrov

  7. Water waves trapped by thin submerged cylinders: Exact solutions

    Article • Russian Journal of Mathematical Physics, April 2015, Pleiades Publishing Ltd

    Professor Peter Zhevandrov

  8. Trapped modes and scattering for oblique waves in a two-layer fluid

    Article • Journal of Fluid Mechanics, July 2014, Cambridge University Press

    Professor Peter Zhevandrov

  9. On the convergence of the amplitude of the diffracted nonstationary wave in scattering by wedges

    Article • Russian Journal of Mathematical Physics, July 2012, Pleiades Publishing Ltd

    Professor Peter Zhevandrov

  10. Scattering and embedded trapped modes for an infinite nonhomogeneous Timoshenko beam

    Article • Journal of Engineering Mathematics, June 2012, Springer Science + Business Media

    Professor Peter Zhevandrov

  11. Non-uniform Euler-Bernoulli beams´ natural frequencies

    Article • Ingeniería e Investigación, January 2011, Universidad Nacional de Colombia

    Professor Peter Zhevandrov

  12. Trapped modes and resonances for water waves over a slightly perturbed bottom

    Article • Russian Journal of Mathematical Physics, September 2010, Pleiades Publishing Ltd

    Professor Peter Zhevandrov

  13. Frequencies of Trapped Modes and Resonances for Water Waves in Infinite Channels

    Article • January 2009, American Institute of Physics

    Professor Peter Zhevandrov

  14. High-frequency asymptotics of waves trapped by underwater ridges and submerged cylinders

    Article • Journal of Computational and Applied Mathematics, July 2007, Elsevier

    Professor Peter Zhevandrov

  15. Waves Trapped by Submerged Obstacles at High Frequencies

    Article • Journal of Applied Mathematics, January 2007, Wiley

    Professor Peter Zhevandrov

  16. SHALLOW POTENTIAL WELLS FOR THE SCHRÖDINGER EQUATION AND WATER WAVES

    Article • August 2003, World Scientific Pub Co Pte Lt

    Professor Peter Zhevandrov

  17. Shallow Potential Wells for the Discrete Schrödinger Equation

    Article • January 2003, Springer Science + Business Media

    Professor Peter Zhevandrov

  18. Singular boundary perturbations for some eigenvalue problems

    Article • Journal of Mathematical Physics, May 2000, American Institute of Physics

    Professor Peter Zhevandrov

  19. On the Neumann problem for the Helmholtz equation in a plane angle

    Article • Mathematical Methods in the Applied Sciences, January 2000, Wiley

    Professor Peter Zhevandrov

  20. Stability of entrained surface waves under small perturbations of the density of the upper layer

    Article • Mathematical Notes, December 1998, Springer Science + Business Media

    Professor Peter Zhevandrov

  21. Устойчивость захваченных поверхностных волн при малых возмущениях плотности верхнего слоя

    Article • Математические заметки, January 1998, Steklov Mathematical Institute

    Professor Peter Zhevandrov

  22. High-Frequency Asymptotics of Edge Waves on a Beach of Nonconstant Slope

    Article • SIAM Journal on Applied Mathematics, January 1998, Society for Industrial & Applied Mathematics (SIAM)

    Professor Peter Zhevandrov

  23. Semiclassical approximation for bound states of the Schrödinger equation with a Coulomb-like potential

    Article • Journal of Mathematical Physics, April 1994, American Institute of Physics

    Professor Peter Zhevandrov

  24. Semiclassical asymptotics for a radial Schr�dinger equation with singular potential

    Article • Theoretical and Mathematical Physics, January 1994, Springer Science + Business Media

    Professor Peter Zhevandrov

  25. Asymptotics of the solution of the Cauchy-Poisson problem in a layer of nonconstant thickness

    Article • Mathematical Notes, June 1993, Springer Science + Business Media

    Professor Peter Zhevandrov

  26. Caustics of a Light Beam Passing Through a Time-varying Dielectric Wedge

    Article • Journal of Modern Optics, July 1992, Taylor & Francis

    Professor Peter Zhevandrov

  27. Asymptotic Theory of Propagation of Nonstationary Surface and Internal Waves over Uneven Bottom

    Article • January 1992, Springer Science + Business Media

    Professor Peter Zhevandrov

  28. Edge waves on a gently sloping beach: uniform asymptotics

    Article • Journal of Fluid Mechanics, December 1991, Cambridge University Press

    Professor Peter Zhevandrov

  29. Asymptotic fast-decreasing solutions of linear, strictly hyperbolic systems with variable coefficients

    Article • Mathematical Notes, April 1991, Springer Science + Business Media

    Professor Peter Zhevandrov

  30. Cauchy-Poisson problem for a two-layer fluid of variable depth

    Article • Mathematical Notes, June 1990, Springer Science + Business Media

    Professor Peter Zhevandrov

  31. ON MASLOV'S METHOD FOR CONSTRUCTING COMBINED ASYMPTOTICS FOR h -PSEUDODIFFERENTIAL EQUATIONS

    Article • Mathematics of the USSR-Izvestiya, April 1990, Turpion-Moscow Limited

    Professor Peter Zhevandrov

  32. Ship waves on the surface of a floating liquid

    Article • USSR Computational Mathematics and Mathematical Physics, January 1988, Elsevier

    Professor Peter Zhevandrov

  33. The cauchy-poisson problem for gravitational-capillary waves on water of variable depth

    Article • USSR Computational Mathematics and Mathematical Physics, January 1987, Elsevier

    Professor Peter Zhevandrov

  34. Non-local non-linear equations of wind waves over an uneven bottom

    Article • Journal of Applied Mathematics and Mechanics, January 1987, Elsevier

    Professor Peter Zhevandrov

  35. Nonstandard characteristics and Maslov's operatorial method in linear problems concerning unsteady water waves

    Article • Functional Analysis and Its Applications, January 1986, Springer Science + Business Media

    Professor Peter Zhevandrov