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UID:8727@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20250909T110000
DTEND;TZID=Europe/Paris:20250909T120000
DTSTAMP:20250905T085037Z
URL:https://www.i2m.univ-amu.fr/evenements/speed-limits-of-time-almost-per
 iodic-traveling-waves-for-rapidly-slowly-oscillating-reaction-diffusion-eq
 uations/
SUMMARY:Ding Weiwei  ( ): Speed limits of time almost periodic traveling wa
 ves for rapidly/ slowly oscillating reaction-diffusion equations
DESCRIPTION:Ding Weiwei : This talk is concerned with the wave propagation 
 dynamics of time almost periodic reaction-diffusion equations. Assuming th
 e existence of a time almost periodic traveling wave connecting two stable
  steady states\, we focus on the asymptotic behavior of wave speeds in bot
 h rapidly and slowly oscillating environments. We prove that\, in the rapi
 dly oscillating case\, the average speed of the time almost periodic wave 
 converges to the constant wave speed of the homogenized equation. On the o
 ther hand\, in the slowly oscillating case\, the average speed converges t
 o the arithmetic mean of the wave speeds for a family of equations with fr
 ozen coefficients. These explicit formulas for the limits of speeds also s
 how the significant influences of temporal variations on wave propagation 
 phenomena. Even in the periodic environment\, it can alter the sign of bis
 table wave speeds.
CATEGORIES:Séminaire,Analyse Appliquée
LOCATION:I2M Saint-Charles - Salle de séminaire\, Université Aix-Marseill
 e\, Campus Saint-Charles\, 3 Place Victor Hugo\, Marseille\, 13003\, Franc
 e
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Université Aix-Marseille\,
  Campus Saint-Charles\, 3 Place Victor Hugo\, Marseille\, 13003\, France;X
 -APPLE-RADIUS=100;X-TITLE=I2M Saint-Charles - Salle de séminaire:geo:0,0
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