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St. Petersburg Mathematical Journal

This journal is a cover-to-cover translation into English of Algebra i Analiz, published six times a year by the mathematics section of the Russian Academy of Sciences.

ISSN 1547-7371 (online) ISSN 1061-0022 (print)

The 2020 MCQ for St. Petersburg Mathematical Journal is 0.68.

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Solution asymptotics for the system of Landau–Lifshitz equations under a saddle-node dynamical bifurcation
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by L. A. Kalyakin
Translated by: S. V. Kislyakov
St. Petersburg Math. J. 33 (2022), 223-242
DOI: https://doi.org/10.1090/spmj/1698
Published electronically: March 4, 2022
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Abstract:

A system of two nonlinear differential equations with slowly varying coefficients is treated. The asymptotics in the small parameter for the solutions that have a narrow transition layer is studied. Such a layer occurs near the moment where the number of roots of the corresponding algebraic system of equations changes. To construct the asymptotics, the matching method involving three scales is used.
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Bibliographic Information
  • L. A. Kalyakin
  • Affiliation: Institute of Mathematics with V. Ts. UFITS RAS, 112 ul. Chernyshevskogo, 450008, Ufa, Russia
  • Email: klenru@mail.ru
  • Received by editor(s): May 4, 2020
  • Published electronically: March 4, 2022
  • Additional Notes: This research was done under the support of a grant of the Russian Science Foundation (project no. 20-11-19995)

    • Dedicated: Dedicated to Vasiliĭ Mikhaĭlovich Babich on the occasion of his 90th birthday
  • © Copyright 2022 American Mathematical Society
  • Journal: St. Petersburg Math. J. 33 (2022), 223-242
  • MSC (2020): Primary 53A04; Secondary 52A40, 52A10
  • DOI: https://doi.org/10.1090/spmj/1698
  • MathSciNet review: 4445757