[seminar] SUTRA Seminar Dr. Joshua Feinberg (petak, 21.09., 12 sati c.t)

[Blazenka Melic]

INSTITUT "Ruder Boskovic"
ZAVOD ZA TEORIJSKU FIZIKU
Bijenicka c. 54, Zagreb, Hrvatska

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                SEMINAR TEORIJSKE  FIZIKE
  (Zajednicki seminari Zavoda za fiziku PMF-a i
       Zavoda za teorijsku fiziku  IRB-a)

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                                http://thphys.irb.hr/Seminar/seminar.htm


Joshua Feinberg

Department of Physics, Technion-Israel Institute of Technology, Haifa
Department of Physics, Oranim-University of Haifa, Tivon, Israel


"Does the complex extension of the Riemann equation exhibit shocks?"

  Datum: 21. rujna 2007. (petak)
  Vrijeme: 12 sati c.t.
  Mjesto: IRB, predavaonica I krila


Sazetak:


Recently, there has been some interest in $PT$-invariant complex
extensions of nonlinear equations of fluid dynamics, such as the KdV
equation. I shall briefly review this activity. In this talk I will
focus on the Riemann equation.
The Riemann equation $u_t+uu_x=0$, which describes a one-dimensional
accelerationless perfect fluid, possesses solutions that typically
develop
shocks in a finite time. This equation is $PT$ symmetric.
A one-parameter $PT$-invariant complex extension of this equation
has the form $u_t-iu(iu_x)^\epsilon=0$. In this paper this complex
equation is solved exactly using the method of characteristic strips and
it is shown that for real initial conditions shocks cannot develop
unless $\epsilon$ is an odd integer.



  2007-09-13

  Voditeljica seminara:
  dr. Blazenka Melic (melic at thphys.irb.hr)