Mini-symposium 11: Issues for Partial Differential Equations with Fractional Derivatives, Interface, and other Features
Organizers: Slimane Adjerid, Virginia Tech
Yiqun Li, University of South Carolina
Tao Lin, Virginia Tech
Hong Wang, University of South Carolina
MS description: In many modern problems, material properties may suffer from abrupt changes due to internal/external reasons, which results in jump discontinuities of the coefficients in their governing equations. This leads to interface problems. Similarly, when the material properties demonstrate strong heterogeneity, the corresponding problems may exhibit nonlocal effects, leading to fractional/nonlocal models. The aim of this minisymposium is to discuss the recent development in modeling, simulation, application, and analysis in these fields.
Saturday, March 25, 10:00 am - 12:00 pm, Part I of III
Room: Pamplin 1003
- 10:00-10:30 Romesh C. Batra , Virginia Tech, Loading devices and Non-Classical Boundary Conditions
- 10:30-11:00 Paul Cazeaux, Virginia Tech, Topologically protected transport across moir\'e pattern junctions and network in gated twisted bilayer graphene
- 11:00-11:30 Johann Rudi, Virginia Tech, Nonlinear Stokes Flow with Heterogeneous Viscosities and Viscoplastic Rheology for Convection in Earth's Mantle
- 11:30-12:00 McKenzie Black, University of South Carolina, Asymptotic Behaviors For The Compressible Euler System With Nonlinear Velocity Alignment
Saturday, March 25, 3:30 pm - 5:30 pm, Part II of III
Room: Pamplin 1003
- 3:30-4:00 Xiaobing Feng, University of Tennessee, A new theory of fractional differential calculus and fractional Sobolev spaces and applications
- 4:00-4:30 Zhen Li, Clemson University, Deep neural operator for learning transient response of composites subject to mechanical loading
- 4:30-5:00 Hong Wang, University of South Carolina, An optimal control constrained by a variable-order fractional PDE
- 5:00-5:30 Yiqun Li, University of South Carolina, A viscoelastic Timoshenko beam: Model development, analysis, and investigation
Sunday, March 26, 10:00 am - 12:00 pm, Part III of III
Room: Pamplin 1003
- 10:00-10:30 Slimane Adjerid, Virginia Tech, High-order Immersed Finite Elements for Nonlinear Interface Problems
- 10:30-11:00 Xu Zhang, Oklahoma State University, An Enriched Immersed Finite Element Method for Three-Dimensional Interface Problems
- 11:00-11:30 Haroun Meghaichi, Virginia Tech, A unified error analysis for one dimensional interface problems
- 11:30-12:00 Tao Lin, Virginia Tech, Immersed Finite Element Methods for Interface Inverse Problems
