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DTSTAMP:20260405T153417Z
UID:65f75041e48c8240988623@ist.ac.at
DTSTART:20240325T154500
DTEND:20240325T164500
DESCRIPTION:Speaker: Nicolas Clozeau\nhosted by Laszlo Erdös\, Jan Maas\nA
 bstract: The aim of this talk is to present some recent developments in th
 e theory of quantitative stochastic homogenization of non-linear problems 
 arising in mechanics. In a first part\, I will discuss a quantitative homo
 genization theory for non-linear elliptic PDEs of p-Laplacian\, that can b
 e seen as the Euler-Lagrange equation of the energy of an elastic body wit
 h random microstructure (in the case of small deformations). In particular
 \, I will present two results : optimal rates for the convergence towards 
 the homogenized problem\; and a work in progress concerning a large-scale 
 regularity theory for such non-linear elliptic PDEs. The is based on joint
  works with Antoine Gloria and Mathias Schffner.In a second part\, I will 
 move forward variational problems arising in fracture mechanics that are d
 escribed by Griffith-type energies. Based on a work by Dal Maso\, Scardia 
 and Zeppieri that identifies qualitatively the effective fracture toughnes
 s by means of a cell-formula\; I will present a recent result that establi
 shes rates for the convergence of the cell-formula towards the effective q
 uantity. This is based on a joint work with Antonio Agresti and Julian Fis
 cher.
LOCATION:Central Bldg / O1 / Mondi 2a (I01.O1.008)\, ISTA
ORGANIZER:boosthui@ist.ac.at
SUMMARY:Nicolas Clozeau: Quantitative stochastic homogenization of non-line
 ar problems arising in mechanics
URL:https://talks-calendar.ista.ac.at/events/4867
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