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SEARCDE 2024

Conference Schedule

Saturday November 10 Schedule

Time Event and Location
8:00 AM - 8:30 AM Registration and Breakfast
8:30 AM - 8:45 AM Introductory Remarks: Melanie Page
Associate Vice President for Creative and Scholarly Activities
West Virginia University
(Hodges Hall 202)
8:45 AM - 9:45 PM Plenary Speaker 1: Robert Pego
Carnegie Mellon University
Rigidly breaking potential flows and a countable Alexandrov theorem for polytopes
(Hodges Hall 202)
9:45 AM - 10:00 AM Coffee Break
10:00 AM - 12:00 PM Sections A1 to A7
12:00 PM - 01:00 PM Lunch
01:15 PM - 02:15 PM Plenary Speaker 2: Gheorghe Craciun
University of Wisconsin-Madison
Polynomial dynamical systems and reaction networks: persistence and global attractors
(Hodges Hall 202)
02:30 PM - 04:30 PM Sections B1 to B7
04:30 PM - 04:45 PM Coffee Break
04:45 PM - 05:45 PM Plenary Speaker 3: Jeff Calder
University of Minnesota
PDEs and graph-based semi-supervised learning
(Hodges Hall 202)

Saturday Sections A1 - A7

Section A1
Chair: Charis Tsikkou
(Hodges Hall 210)
Section A2
Chair: Adrian Tudorascu
(Hodges Hall 214)
Section A3
Chair: Dhruba Adhikari
(Hodges Hall 220)
Section A4
Chair: Casian Pantea
(Hodges Hall 301)
Section A5
Chair: Ryan Murray
(Hodges Hall 307)
Section A6
Chair: Adam Halasz
(Hodges Hall 308)
Section A7
Chair: Jaffar Ali Shahul Hameed
(Hodges Hall 312)
Maja Taskovic
Emory University

On the inhomogeneous wave kinetic equation and the associated hierarchy
Prerona Dutta
Xavier University of Louisiana

Well-posedness and continuity properties of the two-component Fornberg-Whitham system in Besov spaces
John Holmes
The Ohio State University

The Fokas transform method for Burgers' equation
Kushani De Silva
University of North Carolina at Greensboro

Exploring the Dynamics and Stability of Dengue Transmission: The Influence of Vector-Pathogen Interactions and Climatic Factors
Nasir Yasin
Old Dominion University

Flow Patterns Behind Stationary and Moving Bluff Bodies Utilizing the SRC-Lattice Boltzmann Method
Tahmineh Azizi
Washington University

An application of the Grünwald-Letinkov fractional derivative to a study of drug diffusion in pharmocokinetic compartmental models
John Gemmer
Wake Forest University

Tipping in a low-dimensional model of a tropical cyclone
Shalmali Bandyopadhyay
The University of Tennessee at Martin

Positive Solutions to Singular Second Order BVP on Time Scales
Maya Chhetri
University of North Carolina at Greensboro

An interpolation approach to L∞ a priori estimates for elliptic problems with nonlinearity on the boundary
Byungjae Son
Ohio Northern University

On positive solutions to double phase problems with strong singular weights and nonlinearities
Lorand Parajdi
"Babeș-Bolyai" University

Lower and Upper Solution Method for Control Problems: Application to an Allogeneic Bone Marrow Transplantation Model
Zhaiming Shen
Georgia Institute of Technology

Matrix Cross Approximation for Image Compression and Least Squares Approximation
Robert Ireri
Marshall University

A Numerical Method for Coefficient Reconstruction of a Periodic Inverse Source Problem
Shohreh Gholizadeh Siahmazgi
Wake Forest University

Mean Exit Times for Perturbed Gradient Systems
Ian Tice
Carnegie Mellon University

Traveling wave solutions to the free boundary Navier-Stokes equations
Teemu Saksala
North Carolina State University

Inverse Problem for Hyperbolic Partial Differential Operators on Riemannian Manifolds Without Boundary
Tom Cuchta
Marshall University

Periodic functions with nonuniform domains
Mohyeedden Sweidan
Concord University

Analysis of the Shortley-Weller Scheme for Variable Coefficient Boundary Problems: Applications to Tumor Growth Modeling in Heterogeneous Environments
Kayode Oluwasegun
Drexel University

Investigation of oceanic wave solutions to a modified (2 + 1)-dimensional coupled nonlinear Schrodinger system
Tom Lewis
University of North Carolina at Greensboro

Convergent methods for approximating sublinear semipositone reaction diffusion equations
Isabel Barrio Sanchez
University of Pittsburgh

Long-term H¹-Stability of Cauchy's Method for the Navier-Stokes Equations
Ming Chen
University of Pittsburgh

Bifurcation for hollow vortex desingularization
Tien Khai Nguyen
North Carolina State University

Generic properties of solutions to Hamilton-Jacobi equations
Md Ibrahim Kholil
Norfolk State University

A Uniqueness Theorem for Inverse Problems in Quasilinear Anisotropic Media
Divine Wanduku
Georgia Southern University

Mean-field differential equation ecological models with general survival lifetime distributions in a renewal process
Jeff Borggaard
Virginia Tech

Polynomial Feedback Control of Navier-Stokes Equations
Richard Williams
Marshall University

The Heat Equation on Discrete Time Scales

Saturday Sections B1 - B7

Section B1
Chair: Charis Tsikkou
(Hodges Hall 210)
Section B2
Chair: Adrian Tudorascu
(Hodges Hall 214)
Section B3
Chair: Ian Tice
(Hodges Hall 220)
Section B4
Chair: Casian Pantea
(Hodges Hall 301)
Section B5
Chair: Adam Halasz
(Hodges Hall 307)
Section B6
Chair: Loc Hoang Nguyen
(Hodges Hall 308)
Section B7
Chair: Tien Khai Nguyen
(Hodges Hall 312)
Dhruba Adhikari
Kennesaw State University

Nontrivial Solutions of Inclusions Involving Perturbations of Positively Homogeneous Maximal Monotone Operators
Madhumita Roy
North Carolina State University

Existence of global attractors for a semilinear wave equation with nonlinear boundary dissipation and nonlinear interior and boundary sources with critical exponents
T imothy Myers
Howard University

A Constructive Solution to The Ornstein-Uhlenbech Operator Equation on a Separable Banach Space
David Swigon
University of Pittsburgh

Qualitative inverse problems: mapping data to trajectory features of an ODE model
Ryan Murray
North Carolina State University

Regularization via Dirichlet energies for active learning
Md Mashud Parvez
Old Dominion University

A Strict Physicality-Preserving Scheme for a 2D Q-Tensor Flow with a Singular Potential
Kubilay Dagtoros
Norfolk State University

Direct and Indirect Simulation Techniques
Lili Yan
University of Minnesota, Twin Cities

Inverse boundary problems for elliptic operators on Riemannian manifolds
Pierre Aime Feulefack
University of Pennsylvania

Bifurcation results and multiple solutions for the fractional $(p,q)$-Laplace operator
Jonathan Stanfill
The Ohio State University

Factorizations and Power Weighted Rellich and Hardy-Rellich-Type Inequalities
Maya Mincheva
Northern Illinois University

Efficient computation of Hopf bifurcation points for mass action systems
Valentin Kunz
The Ohio State University

Several Complex Variables and the Quarter-Plane problem
Zhuoran Wang
University of Kansas

Convergence analysis of GMRES with inexact block triangular preconditioning for saddle point systems with application to WG FE approximation of Stokes flow
Qinying Chen
University of Delaware

Evaporation-driven tear film thinning and breakup in two space dimensions
Van Le
University of Tennessee, Knoxville

Existence and uniqueness of solutions to stationary Navier-Stokes equations in the upper-half plane
Antonio Pierrottet
Clemson University

Recovering all coefficients in the Schrödinger equation by finite sets of measurements
Evangelia Ftaka
North Carolina State University

Piecewise Regular Solutions to Scalar Balance Laws with Singular Nonlocal Sources
Balázs Boros
University of Wisconsin-Madison

The smallest bimolecular mass-action systems admitting Andronov-Hopf bifurcation
Rachel Morris
North Carolina State University

Uniform convergence guarantees for adversarially robust learning
Rebecca Oduro
Marshall University

First-order Nabla Riemann--Liouville fractional difference equations
Andrew Hicks
Carnegie Mellon University

Modeling and Simulation of the Cholesteric Landau-de Gennes
Junyuan Fang
University of Tennessee, Knoxville

Harnack inequality for degenerate parabolic equations in non-divergence form
FNU Shumaila
Miami University

Computation of K-Functional for Sobolev Spaces on Riemannian Manifolds
Andrew Shedlock
North Carolina State University

Lipschitz Stability of Travel Time Data
Jiaxin Jin
University of Louisiana at Lafayette

Infinitesimal Homeostasis in Mass-Action Systems
Rui Fang
University of Pittsburgh

Adaptive Parameter Selection in Nudging Based Data Assimilation
Jocelyn Quaintance
MCIT Online, University of Pennsylvania

Parabolic Compactification: Construction and Critical Points, Finite and at Infinity
Wasiu Sule
Marshall University

Gompertz distribution on time scales

Sunday November 11 Schedule

8:00 AM - 8:45 AM Breakfast
8:45 AM - 9:45 PM Plenary Speaker 4: Anna Mazzucato
The Pennsylvania State University
Direct and inverse problems for elastic dislocations in geophysics
(Hodges Hall 202)
9:45 AM - 10:00 AM Coffee Break
10:00 AM - 12:00 PM Sections C1 to C5
12:00 PM - 12:30 PM Closing Remarks
(Hodges Hall 202)

Sunday Sections C1 - C5

Section C1
Chair: Adrian Tudorascu
(Hodges Hall 210)
Section C2
Chair: Casian Pantea
(Hodges Hall 214)
Section C3
Chair: John Holmes
(Hodges Hall 220)
Section C4
Chair: Maja Taskovic
(Hodges Hall 301)
Section C5
Chair: Adam Halasz
(Hodges Hall 308)
Changhui Tan
University of South Carolina

Sticky particle dynamics with alignment interactions
Michael Aguadze
Norfolk State University

Using Machine Learning to Measure the Impact of Treatment as a Control for Marijuana Use
Joseph Paullet
Penn State Behrend

Generalized Boundary-Layer Flow Due to a Shrinking Permeable Sheet
Kanan Gupta
University of Pittsburgh

Nesterov acceleration despite very noisy gradients
Stephan Wojtowytsch
University of Pittsburgh

The 'accelerated Allen-Cahn equation' on Euclidean spaces and in machine learning
B oya Liu
North Dakota State University

Recovery of time-dependent coefficients in hyperbolic equations on Riemannian manifolds from partial data
Gleb Gribovskii
University of North Carolina at Greensboro

A Game-Theoretic Model of Optimal Condom Usage to Prevent Chlamydia Infections
Jaffar Ali Shahul Hameed
Florida Gulf Coast University

Positive Solutions for a Derivative Dependent $p$-Laplacian Equation with Integral Boundary Conditions
Jesse Paul
University of North Carolina at Greensboro

The Monge Ampere Equation and Prescribed Gaussian Curvature: Numerical Methods
Sanwar Ahmad
Virginia State University

On accelerating iterative gradient type methods for solving nonlinear optimization problem: application to Electrical Impedance Tomography problems
Mohamed El-Houssieny
Detroit Public Schools Community District

Comparison of Adomian Decomposition and Laplace Adomian Decomposition Methods
Rahnuma Islam
University of Pittsburgh

Stochastic Immunology model and its analysis
Wenlong Pei
The Ohio State University

The variable time-stepping DLN method for fluid models
Loc Nguyen
University of Carolina at Charlotte

The Carleman-contraction mapping approach for the inverse scattering problem
Hamza Adjerid
Virginia Tech

Nonlinear feedback control for Stokes-type DAEs
Vani Cheruvu
The University of Toledo

Haar wavelet based Quasilinearization Method
Sujan Pant
Norfolk State University

Understanding the Obesity Epidemic: A Mathematical Model
for the Dynamics between Insulin and Glucose
Adam Pickarski
North Carolina State University

Large data limits and scaling laws for tSNE
Matthew Broussard
North Carolina State University

Analysis and Comparison of Interface Conditions for a Coupling of Poroleastic Equations and Lumped Hydraulic Circuit
Shixu Meng
Virginia Tech

Exploring Low Rank Structures in Inverse Problems and PDEs