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SUMMARY:Day of seminar talks in analysis
DTSTART:20260417T080000Z
DTEND:20260417T150000Z
DTSTAMP:20260501T113900Z
UID:indico-event-5808@agenda.irmp.ucl.ac.be
DESCRIPTION:Speakers: Hidde Schönberger (UCLouvain)\, Stefano Almi (Naple
 s)\, Anastasia Molchanova (Vienna)\, Alan Pinoy (ULB)\n\n\n10h00-11h00  S
 tefano Almi (Naples) : Nonlocal approximation of a Griffith-type energyAb
 stract: We prove that De Giorgi`s conjecture for nonlocal approximation of
  free discontinuity problems extends to the case of functionals defined in
  terms of the symmetric gradient of the admissible field. For a suitable c
 lass of continuous finite difference functionals\, we show the compactness
  of deformations with equibounded energies\, as well as their Gamma conver
 gence. The compactness (and closure) analysis builds on a Fréchet-Kolmogo
 rov approach and a novel characterization of GSBD.\n\n \n11h15-12h15 Anas
 tasia Molchanova (Vienna) : Hyperelastic Capacitor: A Mixed Lagrangian-Eu
 lerian Variational ModelAbstract: This work investigates the interplay be
 tween elastic deformations and electrostatic capacitance in charged elasti
 c materials. We introduce a variational model where the electroelastic ene
 rgy couples the elastic response with a capacitary term naturally defined 
 in Eulerian coordinates\, yielding a mixed Lagrangian-Eulerian energy. We 
 establish the continuity of this capacitary term under suitable convergenc
 e of deformations and prove the existence of minimizers in the space of fi
 nite‑energy deformations.\n12h15-14h30 Lunch break\n14h30-15h30 Alan Pin
 oy (ULB) : A hyperbolic positive mass theorem for asymptotically hyperbol
 ic 3-manifolds via Potential theoryAbstract: In this talk\, we will consi
 der some complete non-compact Riemannian manifolds whose geometry near inf
 inity is strongly constrained and resembles that of a fixed model (the euc
 lidean space or the hyperbolic space). These manifolds naturally arise in 
 a variety of areas in geometric analysis and in mathematical relativity. W
 e will define and motivate a geometric invariant\, the mass\, that quantif
 ies the default for those manifolds to be close the the model. Utilising t
 he Green function for the Laplacian\, we will then study this invariant\, 
 and answer the following question: can we deform the model in such a way t
 hat it does not decrease the curvature?\n\n\n\n15h30-16h00 Coffee break\n\
 n\n\n \n16.00h-17.00h Hidde Schönberger (UCLouvain) : Homogenization of
  nonlocal exchange energies in micromagnetics\n\n\nAbstract: We study the 
 homogenization of nonlocal micromagnetic functionals incorporating both sy
 mmetric and antisymmetric exchange contributions under the physical constr
 aint that the magnetization field takes values in the unit sphere. Assumin
 g that the nonlocal interaction range and the scale of heterogeneities van
 ish simultaneously\, we capture the asymptotic behavior of the nonlocal en
 ergies by identifying their Γ-limit\, leading to an effective local funct
 ional expressed through a tangentially constrained nonlocal cell problem. 
 A main ingredient for the proof is a new characterization of two-scale lim
 its of nonlocal difference quotients\, yielding a nonlocal analog of the c
 lassical limit decomposition result for gradient fields. To deal with the 
 manifold constraint of the magnetization\, we additionally prove that the 
 microscopic oscillations in the two-scale limit are constrained to lie in 
 the tangent space of the sphere.\nBased on a joint work with Rossella Gior
 gio (TU Wien) and Leon Happ (U. Autónoma de Madrid)\n\n\n\nhttps://agenda
 .irmp.ucl.ac.be/event/5808/
LOCATION:B/2nd floor-B.203 - Seminar room (Marc de Hemptinne (chemin du Cy
 clotron\, 2\, Louvain-la-Neuve))
URL:https://agenda.irmp.ucl.ac.be/event/5808/
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