Title: Lagrangian uncertainty quantification and information inequalities in stochastic flows  Abstract: We develop a systematic information-theoretic framework for quantification and...

Title: Unsaturated poromechanics: Modeling, analysis, and numerical solution Abstract: Flow in deformable porous media is highly relevant in many applications, ranging from subsurface to...

Title: Sharp Lower Bounds for the Vector Allen-Cahn Energy and Qualitative Properties of Minimizers Abstract: We study minimizers Uε of J(U)=Integral over Ω of (ε|grad U| + (1/ε)W(U))dx, W>0...

Title: Recent advances in population and epidemic models of Markov pure jump and piecewise-deterministic processes (PJMP and PDMP) Abstract: Markov pure jump processes and Markov...

Title: Utility maximization in incomplete markets and sensitivity with respect to models Abstract: We will review the problem of optimal investment in general semi-martingale markets. Then, we...

Title Modeling and Analysis of Layered Elastic Systems Abstract: Beams and plates equations are approximations of 3-dimensional elasticity that describe motions of a centerline (for a beam) or...

Title: Stokes-Biot modeling of fluid-poroelastic structure interaction  Abstract: We study mathematical models and their finite element approximations  for solving the coupled problem arising in...

Title: Fluctuations in local quantum unique ergodicity for generalized Wigner matrices Abstract: I will discuss some recent results on the structure of eigenvectors of random matrices. These...

Title: Sparseness and regularity of Navier-Stokes flows Abstract: In a series of papers Grujic and collaborators have developed a novel regularity theory for the 3D Navier-Stokes equations...

Title: Multiscale/multiphysics modeling: applications in ophthalmology and cardiology   Abstract: Physically-based models combine fundamental principles of physics, engineering, mathematics and...