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SUMMARY:Long-wave instability of periodic shear flows for the 2D Navier-St
 okes equations
DTSTART:20250926T141500
DTSTAMP:20261002T233536Z
UID:3d143db5228179f1ef56035219382a8e837a34766c2cca7b50e7e7a0
CATEGORIES:Conferences - Seminars
DESCRIPTION:Dr. Paolo Ventura (EPFL - AMCV)\nAbstract:\nI will present a r
 ecent result regarding the long-wave instability of general shear flows. U
 nder the sole condition that the H^{-1} norm of the steady velocity profil
 e exceeds the kinematic viscosity\, we are able to prove the onset of unst
 able spectrum for the linearized Navier-Stokes equations.\n\nThis instabil
 ity mechanism is derived through two independent approaches: a spectrum-or
 iented adaptation of Kato perturbative techniques and a conjugation-orient
 ed normal-form reduction. Unlike in many other applications of these metho
 ds\, both proofs deal with the presence of a peculiar term in the lineariz
 ed operator that is singular with respect to the long-wave parameter. This
  work was carried out in joint collaboration with Maria Colombo\, Michele 
 Dolce and Riccardo Montalto.
LOCATION:MA B1 11 https://plan.epfl.ch/?room==MA%20B1%2011
STATUS:CONFIRMED
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