Vlad Vicol

Courant  institute of Mathematical Sciences,NYU-USA

Mariel Sáez

Pontificia Universidad Católica de Chile.

Louis Tebou

Florida International University USA

14:00h – 14:40h

Interacting flexible structures with localized strong damping mecha-
nisms: Semigroup stability and regularity.

LAHCEN MANIAR

CADI AYYAD UNIVERSITY, MARRAKESH, MOROCCO

14:50h – 15:30h

PARABOLIC SYSTEM WITH BOUNDARY CONDITIONS:WELL-POSEDNESS AND NULL CONTROLLABILITY

In this talk, we present some results on wellposedness and (internal
and boundary) null controllability of the parabolic equation with dynamic
boundary conditions and drift terms

∂ty − d∆y + B(x).∇y + c(x).y = 1ωu + f in ΩT ,
∂tyΓ − δ∆ΓyΓ + d∂νy + b(x).∇ΓyΓ + l(x)yΓ = 1Γ0v +g on ΓT 

y|Γ(t, x) = yΓ(t, x) on ΓT ,

y(0, ·) = y0 in Ω,
y|Γ(0, ·) = y0,Γ on Γ,
where Ω is a bounded domain of RN , with smooth boundary Γ = ∂Ω of
class C2
, ν(x) is the outer unit normal field to Ω in the point M(x) of Γ,
∂νy := (ν.∇y)|Γ, d, δ are positive real numbers, c ∈ L∞(Ω), l ∈ L∞(Γ),
B ∈ L∞(Ω)N , b ∈ L∞(Γ)N , f ∈ L2((0, T) × Ω) and g ∈ L2((0, T) × Γ). The
functions u and v are internal and boundary controls, acting on small regions ω and Γ0, respectively.
We study first the wellposedness of the above system and its associated adjoint system. To obtain boundary and null controllability, we prove adequate observability inequalities, which are obtained by establishing new internal and boundary Carleman estimates for the backward adjoint problems.

Alessio Figalli

ETH Zurich | Department of Mathematics,Switzerland

14:00h – 14:40h

Free boundary regularity for the obstacle problem

Fabio Ramos

Universidade Federal do Rio de Janeiro,Brazil

14:50h – 15:30h

Controlled Latent Diffusion Models for 3D Porous Media Reconstruction

Inverse problems are pivotal in porous media analysis, demanding the reconstruction of subsurface microstructures from limited imaging data—critical for applications such as energy exploration, hydrocarbon recovery, and underground storage. While traditional approaches often rely on statistical or physics-based models, recent breakthroughs in deep generative methods—particular­ly diffusion-based approaches—present new avenues for enhanced accuracy and computational efficiency.

Carole Luis-Rose

Université des Antilles,Guadeloupe

  14:00h – 14:40h

Approximate controllability of a nonlocal hyperbolic coupled system

Angela Pistoia

University Pisa,italy

14:50h – 15:30h

Some properties of Steklov eigenfunctions

NOEMI WOLANSKI

Universidad de Buenos Aires-Argentina

  14:00h – 14:40h

MASYMPTOTIC BEHAVIOR OF A NONLOCAL DISPERSION PROBLEM IN R^N

Jose Raul Quintero

Universidad del Valle Colombia

14:50h – 15:30h

SOLITARY WAVE SOLUTIONS FOR A FIFTH ORDER
KAUP-KUPERSHMIDT-KDV TYPE EQUATION