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Pregled bibliografske jedinice broj: 206000

Homogenization of a nonlinear convection-diffusion equation with rapidly oscillating coefficients and strong convection


Marušić-Paloka, Eduard; Piatnitski, Andrey L.
Homogenization of a nonlinear convection-diffusion equation with rapidly oscillating coefficients and strong convection // Journal of the London Mathematical Society, 72 (2005), 2; 391-409 doi:10.1112/S0024610705006824 (međunarodna recenzija, članak, znanstveni)


CROSBI ID: 206000 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
Homogenization of a nonlinear convection-diffusion equation with rapidly oscillating coefficients and strong convection

Autori
Marušić-Paloka, Eduard ; Piatnitski, Andrey L.

Izvornik
Journal of the London Mathematical Society (0024-6107) 72 (2005), 2; 391-409

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
homogenization ; convection-diffusion equation ; rapidly oscillating cofficients ; two-scale convergence

Sažetak
A Cauchy problem for a nonlinear convection-diffusion equation with periodic rapidly oscillating coefficients is studied. Under the assumption that the convection term is large, it is proved that the limit (homogenized) equation is a nonlinear diffusion equation which shows dispersion effects. The convergence of the homogenization procedure is justified by using a new version of a two-scale convergence technique adapted to rapidly moving coordinates.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekti:
0037116

Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb

Profili:

Avatar Url Eduard Marušić-Paloka (autor)

Citiraj ovu publikaciju:

Marušić-Paloka, Eduard; Piatnitski, Andrey L.
Homogenization of a nonlinear convection-diffusion equation with rapidly oscillating coefficients and strong convection // Journal of the London Mathematical Society, 72 (2005), 2; 391-409 doi:10.1112/S0024610705006824 (međunarodna recenzija, članak, znanstveni)
Marušić-Paloka, E. & Piatnitski, A. (2005) Homogenization of a nonlinear convection-diffusion equation with rapidly oscillating coefficients and strong convection. Journal of the London Mathematical Society, 72 (2), 391-409 doi:10.1112/S0024610705006824.
@article{article, author = {Maru\v{s}i\'{c}-Paloka, Eduard and Piatnitski, Andrey L.}, year = {2005}, pages = {391-409}, DOI = {10.1112/S0024610705006824}, keywords = {homogenization, convection-diffusion equation, rapidly oscillating cofficients, two-scale convergence}, journal = {Journal of the London Mathematical Society}, doi = {10.1112/S0024610705006824}, volume = {72}, number = {2}, issn = {0024-6107}, title = {Homogenization of a nonlinear convection-diffusion equation with rapidly oscillating coefficients and strong convection}, keyword = {homogenization, convection-diffusion equation, rapidly oscillating cofficients, two-scale convergence} }
@article{article, author = {Maru\v{s}i\'{c}-Paloka, Eduard and Piatnitski, Andrey L.}, year = {2005}, pages = {391-409}, DOI = {10.1112/S0024610705006824}, keywords = {homogenization, convection-diffusion equation, rapidly oscillating cofficients, two-scale convergence}, journal = {Journal of the London Mathematical Society}, doi = {10.1112/S0024610705006824}, volume = {72}, number = {2}, issn = {0024-6107}, title = {Homogenization of a nonlinear convection-diffusion equation with rapidly oscillating coefficients and strong convection}, keyword = {homogenization, convection-diffusion equation, rapidly oscillating cofficients, two-scale convergence} }

Časopis indeksira:


  • Current Contents Connect (CCC)
  • Web of Science Core Collection (WoSCC)
    • Science Citation Index Expanded (SCI-EXP)
    • SCI-EXP, SSCI i/ili A&HCI
  • Scopus


Uključenost u ostale bibliografske baze podataka::


  • MathSciNet
  • Zentrallblatt für Mathematik/Mathematical Abstracts
  • Mathematical Reviews


Citati:





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