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Artikel Jurnal :: Kembali

Dynamic projection operator method in the theory of hyperbolic systems of partial differential equations with variable coefficients

Sergey Leble, Irina Vereshchagina (TASK, 2017)

 Abstrak

ABSTRAK
We consider a generalization of the projection operator method for the case of the Cauchy problem in 1D space for systems of evolution differential equations of first order with variable coefficients. It is supposed that the dependence of coefficients on the only variable𝑥is weak, that is described by the introduction of a small parameter. Such problem corresponds, for example, to the case of wave propagation in a weakly inhomogeneous medium. As an example, we specify the problem to adiabatic acoustics in waveguides with a variable cross section. Projection operators are constructed for the Cauchy problem to fix unidirectional modes. The method of successive approximations perturbation theory is developed and based on the pseudodifferential operators theory. The application of projection operators adapted for the case under consideration allows deriving approximate evolution equations corresponding to the separated directed waves.

 Metadata

No. Panggil : 600 SBAG 21:2 (2017)
Entri utama-Nama orang :
Entri tambahan-Nama orang :
Penerbitan : [Place of publication not identified]: TASK, 2017
Sumber Pengatalogan : LibUI eng rda
ISSN : 14286394
Majalah/Jurnal : Scientific Bulletin of Academic Computer Centre in Gdanks
Volume : Vol. 21, No. 2, April 2017 : hal. 109-120
Tipe Konten : text
Tipe Media : unmediated
Tipe Carrier : volume
Akses Elektronik :
Institusi Pemilik : Universitas Indonesia
Lokasi : Perpustakaan UI, Lantai 4, R. Koleksi Jurnal
  • Ketersediaan
  • Ulasan
No. Panggil No. Barkod Ketersediaan
600 SBAG 21:2 (2017) 03-19-830178639 TERSEDIA
Ulasan:
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