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Estimate of the travelling wave speed for an integro-differential equation.

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Title: Estimate of the travelling wave speed for an integro-differential equation.
Authors: Bessonov, N.1, Beuter, A.2,3, Trofimchuk, S.4, Volpert, V.1,5,6,7,8
Source: Applied Mathematics Letters. Feb2019, Vol. 88, p103-110. 8p.
Subjects: Wave equation, Heat equation, Chebyshev approximation, Computer simulation, Integro-differential equations
Abstract: Abstract Travelling waves for nonlocal reaction–diffusion equations are studied. The minimax representation of the wave speed is obtained. It is used to obtain analytical estimates and asymptotic values of the speed. Two regimes of wave propagation are identified. One of them is dominated by diffusion and another one by the nonlocal interaction. [ABSTRACT FROM AUTHOR]
Copyright of Applied Mathematics Letters is the property of Pergamon Press - An Imprint of Elsevier Science and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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Header DbId: egs
DbLabel: Engineering Source
An: 132289312
AccessLevel: 6
PubType: Academic Journal
PubTypeId: academicJournal
PreciseRelevancyScore: 0
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  Data: Estimate of the travelling wave speed for an integro-differential equation.
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  Data: <searchLink fieldCode="AR" term="%22Bessonov%2C+N%2E%22">Bessonov, N.</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Beuter%2C+A%2E%22">Beuter, A.</searchLink><relatesTo>2,3</relatesTo><br /><searchLink fieldCode="AR" term="%22Trofimchuk%2C+S%2E%22">Trofimchuk, S.</searchLink><relatesTo>4</relatesTo><br /><searchLink fieldCode="AR" term="%22Volpert%2C+V%2E%22">Volpert, V.</searchLink><relatesTo>1,5,6,7,8</relatesTo>
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  Data: <searchLink fieldCode="JN" term="%22Applied+Mathematics+Letters%22">Applied Mathematics Letters</searchLink>. Feb2019, Vol. 88, p103-110. 8p.
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  Data: <searchLink fieldCode="DE" term="%22Wave+equation%22">Wave equation</searchLink><br /><searchLink fieldCode="DE" term="%22Heat+equation%22">Heat equation</searchLink><br /><searchLink fieldCode="DE" term="%22Chebyshev+approximation%22">Chebyshev approximation</searchLink><br /><searchLink fieldCode="DE" term="%22Computer+simulation%22">Computer simulation</searchLink><br /><searchLink fieldCode="DE" term="%22Integro-differential+equations%22">Integro-differential equations</searchLink>
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  Data: Abstract Travelling waves for nonlocal reaction–diffusion equations are studied. The minimax representation of the wave speed is obtained. It is used to obtain analytical estimates and asymptotic values of the speed. Two regimes of wave propagation are identified. One of them is dominated by diffusion and another one by the nonlocal interaction. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
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  Data: <i>Copyright of Applied Mathematics Letters is the property of Pergamon Press - An Imprint of Elsevier Science and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1016/j.aml.2018.07.037
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      – Code: eng
        Text: English
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        PageCount: 8
        StartPage: 103
    Subjects:
      – SubjectFull: Wave equation
        Type: general
      – SubjectFull: Heat equation
        Type: general
      – SubjectFull: Chebyshev approximation
        Type: general
      – SubjectFull: Computer simulation
        Type: general
      – SubjectFull: Integro-differential equations
        Type: general
    Titles:
      – TitleFull: Estimate of the travelling wave speed for an integro-differential equation.
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            NameFull: Bessonov, N.
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            NameFull: Beuter, A.
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              Text: Feb2019
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              Y: 2019
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              Value: 88
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            – TitleFull: Applied Mathematics Letters
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