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UID:news1995@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20260312T171907
DTSTART;TZID=Europe/Zurich:20260319T121500
SUMMARY:Bernoullis Tafelrunde: Lucio Rosi (Universität Basel)
DESCRIPTION:Abstract [t3://file?uid=4146]\\r\\nThe Complex Ginzburg-Landau 
 (CGL) equation is a fundamental nonlinear partial differential equation (P
 DE) frequently used to model a wide variety of evolution phenomena in a wi
 de range of physical systems. It is also being studied as a model equation
  for other different nonlinear PDEs\, like the incompressible Navier-Stoke
 s equation in fluid dynamics.\\r\\nIn this talk\, we will present a numeri
 cal investigation into the existence\, stability\, and uniqueness of self-
 similar solutions to the CGL equation in the supercritical regime. The pri
 mary focus is on forward-in-time solutions in self-similar coordinates who
 se initial condition correspond to the blow-up profiles of backward-in-tim
 e self-similar solutions. The investigation seeks to determine whether the
  evolution of this forward profile from the singularity is unique. 
X-ALT-DESC:<p><a href="t3://file?uid=4146">Abstract</a></p>\n<p>The Complex
  Ginzburg-Landau (CGL) equation is a fundamental nonlinear partial differe
 ntial equation (PDE) frequently used to model a wide variety of evolution 
 phenomena in a wide range of physical systems. It is also being studied as
  a model equation for other different nonlinear PDEs\, like the incompress
 ible Navier-Stokes equation in fluid dynamics.</p>\n<p>In this talk\, we w
 ill present a numerical investigation into the existence\, stability\, and
  uniqueness of self-similar solutions to the CGL equation in the supercrit
 ical regime. The primary focus is on forward-in-time solutions in self-sim
 ilar coordinates whose initial condition correspond to the blow-up profile
 s of backward-in-time self-similar solutions. The investigation seeks to d
 etermine whether the evolution of this forward profile from the singularit
 y is unique.<br />&nbsp\;</p>
DTEND;TZID=Europe/Zurich:20260319T130000
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