Nonlocal PDEs: Modeling, Analysis, Control and Beyond

Abstract

The research proposal aims at making significant contributions to the broad area of analysis, dynamics, control and numerical approximations of models involving nonlocal Partial Differential Equations (PDEs) by addressing some key issues that remain poorly understood or unsolved and that appear systematically in real-life applications including but not limited to: collective behavior, wave propagation in heterogeneous media with high contrast, viscoelasticity, denoising algorithms and nonlocal image processing, anomalous transport and diffusion. This ambitious research program has been developed at the intersection of three areas that have evolved rapidly in the last decades: PDEs, Control and Numerics.

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Document Details

Document Type
Technical Report
Publication Date
Mar 11, 2024
Accession Number
AD1230394

Entities

People

  • Mahamadi Warma
  • Valentin Keyantuo

Organizations

  • George Mason University
  • University of Puerto Rico

Tags

Readers

  • Quantum Dot Semiconductor Device Photonics and Graphene Optoelectronic Materials and THz Physics.
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  • Theoretical Analysis.