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Träfflista för sökning "WFRF:(Persson Anders) ;lar1:(miun);pers:(Olsson Marianne 1958)"

Search: WFRF:(Persson Anders) > Mid Sweden University > Olsson Marianne 1958

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1.
  • Flodén, Liselott, 1967-, et al. (author)
  • Detection of scales of heterogeneity and parabolic homogenization applying very weak multiscale convergence
  • 2011
  • In: Annals of Functional Analysis. - Mashdad, Iran : TSMG. - 2008-8752. ; 2:1, s. 84-99
  • Journal article (peer-reviewed)abstract
    • We apply a new version of multiscale convergence named very weak multiscale convergence to find possible frequencies of oscillation in an unknown coefficient of a diffeential equation from its solution. We also use thís notion to study homogenization of a certain linear parabolic problem with multiple spatial and temporal scales
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2.
  • Holmbom, Anders, 1958-, et al. (author)
  • A note on parabolic homogenization with a mismatch between the spatial scales
  • 2013
  • In: Abstract and Applied Analysis. - : Hindawi Publishing Corporation. - 1085-3375 .- 1687-0409. ; , s. Art. no. 329704-
  • Journal article (peer-reviewed)abstract
    • We consider the homogenization of the linear parabolic problem rho(x/epsilon(2))partial derivative(t)u(epsilon)(x,t) - del . (a(x/epsilon(1), t/epsilon(2)(1))del u(epsilon) (x,t)) = f(x,t) which exhibits a mismatch between the spatial scales in the sense that the coefficient a(x/epsilon(1), t/epsilon(2)(1)) of the elliptic part has one frequency of fast spatial oscillations, whereas the coefficient rho(x/epsilon(2)) of the time derivative contains a faster spatial scale. It is shown that the faster spatialmicroscale does not give rise to any corrector termand that there is only one local problemneeded to characterize the homogenized problem. Hence, the problem is not of a reiterated type even though two rapid scales of spatial oscillation appear.
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  • Result 1-2 of 2
Type of publication
journal article (2)
Type of content
peer-reviewed (2)
Author/Editor
Holmbom, Anders, 195 ... (2)
Persson, Jens (1)
Flodén, Liselott (1)
Flodén, Liselott, 19 ... (1)
Persson, Jens, 1978- (1)
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Olsson Lindberg, Mar ... (1)
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English (2)
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Natural sciences (2)

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