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SUMMARY:Interactions of a gasdynamic type. Two significant multidimensiona
 l examples of a constructive and classifying approach - Dinu\, L F (Instit
 ute of Mathematics of the Romanian Academy)
DTSTART:20140702T130000Z
DTEND:20140702T140000Z
UID:TALK53279@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:We associate each of the two mentioned examples of interaction
  with a pair of interactive gasdynamic elements: shock-turbulence or\, res
 pectively\, wave-wave. The nature of each exemplified interaction essentia
 lly depends on the presence of a shock discontinuity: which contributes as
  an interactive element or\, respectively\, as a precursory structuring el
 ement.\n\nThe first example constructs and describes\, in presence of a mi
 nimal nonlinearity [in the form of a nonlinear subconscious (following P.D
 . Lax and A.Majda)]\, a significant deterministic substructure reflecting 
 the shock-turbulence interaction. This example has essentially two objecti
 ves: (a) structuring [via identifying a gasdynamic inner coherence] an exp
 licit\, closed\, and optimal form for the interaction solution\, and (b) o
 ffering [via identifying some Lorentz type arguments of pseudo-relativisti
 c criticity] an exhaustively classifying characterization of this mentione
 d solution. \n\nThe second example uses\, in an anisentropic context [whic
 h reflects the structuring presence of a precursory shock wave]\, two genu
 inely nonlinear\, geometrical approaches [of a Burnat type\, respectively 
 of a Martin type] to construct two analogous classes of solutions -  of a 
 wave-wave regular interaction type. These two approaches are coincident in
  a very restrictive frame [isentropic context\; two independent variables]
 . We finally parallel the two anisentropic approaches by using various com
 parisons between the mentioned analogous classes: to identify some signifi
 cant consonances and\, concurrently\, some highly nontrivial contrasts: a 
 classifying aspect. \n
LOCATION:Seminar Room 2\, Newton Institute Gatehouse
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