Title: Implicit Degenerate Evolution Equations & Bio-Biot Applications Abstract: In this talk we examine the theory of solutions for implicit, degenerate evolution equations of the form...

Title: Beauty and the Beast: The Flame Equation in 1D and 2D Abstract: The Kuramoto-Sivashinsky equation (KSE) is a beautiful and highly chaotic dynamical system that arises in flame fronts,...

Title: Robust architectures, initialization, and training for deep neural networks via the adaptive basis interpretation Abstract: Deep neural networks (DNNs) hold intriguing potential for...

Title: On robust numerical methods for multiple-network poroelasticity problems Abstract: Numerical methods for multiple-network poroelasticity (MPET) models are of great research interest...

Title: Analysis and Control of Porous Media Flows with Applications in Ocular Perfusion Abstract: Fluid flows through deformable porous media are relevant for many applications in biology,...

Title: Domain Decomposition and Local Time-Stepping Methods For Flow and Transport in Porous Media Abstract:  Domain decomposition (DD) methods provide a natural computational framework for...

Title: Introducing Novel PDE Models of Piezoelectric Devices and Investigating Related Controllability Scenarios   Abstract: In this talk, novel PDE models for single-layer and multi-layer...

Title: On the qualitative properties of a Compressible Flow-Elastic Solid Interaction  Abstract: We consider a compressible flow structure interaction (FSI) PDE system which is linearized...

Title. Advances in sampling methods for inverse scattering problems Abstract. Broadly speaking, inverse scattering problems are the problems of determining information about an object...

Title: Asymptotic Behavior of a Critical Fluid Model for Bandwidth Sharing with General File Size Distributions Abstract: This work concerns the asymptotic behavior of solutions to a critical...