SwePub
Sök i SwePub databas

  Extended search

Träfflista för sökning "L773:0973 5348 OR L773:1760 6101 srt2:(2013)"

Search: L773:0973 5348 OR L773:1760 6101 > (2013)

  • Result 1-2 of 2
Sort/group result
   
EnumerationReferenceCoverFind
1.
  • Ibragimov, Nail, et al. (author)
  • Bifurcation of Nonlinear Conservation Laws from the Classical Energy Conservation Law for Internal Gravity Waves in Cylindrical Wave Field
  • 2013
  • In: Mathematical Modelling of Natural Phenomena. - : EDP Sciences. - 0973-5348 .- 1760-6101. ; 8:5, s. 119-130
  • Journal article (peer-reviewed)abstract
    • New conservation laws bifurcating from the classical form of conservation laws are constructed to the nonlinear Boussinesq model describing internal Kelvin waves propagating in a cylindrical wave field of an uniformly stratified water affected by the earth's rotation. The obtained conservation laws are different from the well known energy conservation law for internal waves and they are associated with symmetries of the Boussinesq model. Particularly, it is shown that application of Lie group analysis provide three infinite sets of nontrivial integral conservation laws depending on two arbitrary functions, namely a(t, theta),b(t, r) and an arbitrary function c(t, theta, r) which is given implicitly as a nontrivial solution of a partial differential equation involving a(t, theta) and b(t,r).
  •  
2.
  • Ibragimov, Nail H., et al. (author)
  • Nonlinear Whirlpools Versus Harmonic Waves in a Rotating Column of Stratified Fluid
  • 2013
  • In: Mathematical Modelling of Natural Phenomena. - : EDP SCIENCES. - 0973-5348 .- 1760-6101. ; 8:1, s. 122-131
  • Journal article (peer-reviewed)abstract
    • Propagation of nonlinear baroclinic Kelvin waves in a rotating column of uniformly stratified fluid under the Boussinesq approximation is investigated. The model is constrained. by the Kelvin's conjecture saying that the velocity component normal to the interface between rotating fluid and surrounding medium (e.g. a seashore) is possibly zero everywhere in the domain of fluid motion, not only at the boundary. Three classes of distinctly different exact solutions for the nonlinear model are obtained. The obtained solutions are associated with symmetries of the Boussinesq model. It is shown that one class of the obtained solutions can be visualized as rotating whirlpools along which the pressure deviation from the mean state is zero, is positive inside and negative outside of the whirlpools. The angular velocity is zero at the center of the whirlpools and it is monotonically increasing function of radius of the whirlpools.
  •  
Skapa referenser, mejla, bekava och länka
  • Result 1-2 of 2
Type of publication
journal article (2)
Type of content
peer-reviewed (2)
Author/Editor
Ibragimov, Nail (1)
Ibragimov, Nail H. (1)
Ibragimov, R.N. (1)
Ibragimov, Ranis N. (1)
University
Blekinge Institute of Technology (2)
Language
English (2)
Research subject (UKÄ/SCB)
Natural sciences (2)
Year
2013 (2)Undo refine

Kungliga biblioteket hanterar dina personuppgifter i enlighet med EU:s dataskyddsförordning (2018), GDPR. Läs mer om hur det funkar här.
Så här hanterar KB dina uppgifter vid användning av denna tjänst.

 
pil uppåt Close

Copy and save the link in order to return to this view