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PDEs in Fluid Mechanics and Atmospheric Sciences

Schedule

The conference will take place in Hodges Hall (Second Floor).

Saturday, April 13, 2024

Time Event Title / Speaker / Details

8:00 AM – 8:30 AM

Registration and Breakfast

8:30 AM – 9:15 AM

Uniqueness and error estimates for 1D hyperbolic conservation laws
Alberto Bressan, The Pennsylvania State University
Hodges Hall 202

9:15 AM – 10:00 AM

Viscous perturbations to discontinuous solutions of the compressible Euler equation
Alex F. Vasseur, The University of Texas at Austin
Hodges Hall 202

10:00 AM – 10:20 AM 

Coffee Break

10:20 AM – 11:05 AM 

Dynamics of gaseous stars
Juhi Jang, University of Southern California
Hodges Hall 202

11:05 AM – 11:50 AM

Gravity wave-borne vortices
Samuel Walsh, University of Missouri
Hodges Hall 202

12:00 PM – 2:00 PM

Poster Session and Lunch

2:00 PM – 2:45 PM

Self-similar solutions to two-dimensional Riemann problems involving transonic shocks
Mikhail Feldman, University of Wisconsin-Madison
Hodges Hall 202

2:45 PM – 3:00 PM

Coffee Break

3:00 PM – 3:25 PM

Accuracy of the finite volume approximations to nonlocal conservation laws
Ganesh Kiran Vaidya, The Pennsylvania State University
Hodges Hall 202


On a thermodynamically consistent model for magnetoviscoelastic fluids in 3D
Hengrong Du, Vanderbilt University
Hodges Hall 210

3:25 PM – 3:50 PM

Piecewise Smooth Solutions to Scalar Balance Laws with Singular Source Terms
Evangelia Ftaka, North Carolina State University
Hodges Hall 202


Exploring global solutions for the quasi-linear mKdV equations
Fangchi Yan, Virginia Tech
Hodges Hall 210

3:50 PM – 4:15 PM

Asymptotics of Helmholtz-Kirchhoff Point-Vortices in the Phase Space
Trinh Nguyen, University of Wisconsin-Madison
Hodges Hall 202


Interface problem for the two-phase magnetohydrodynamic flows
Tian Jing, University of Michigan
Hodges Hall 210

4:15 PM – 4:40 PM

Low Regularity Solutions for the Surface Quasi-Geostrophic Front Equation
Albert Ai, University of Wisconsin-Madison
Hodges Hall 202


Analysis of a multiscale interface coupling describing fluid flow between a deformable porous media and a lumped hydraulic circuit
Matthew Broussard, North Carolina State University
Hodges Hall 210

4:40 PM – 5:05 PM

A Singular Family of 3D Quasi-Geostrophic Equation
Yiran Hu, University of Texas at Austin
Hodges Hall 202


Singularity for symmetric form of Ericksen-Leslie system of nematic liquid crystal flows in semi-linear case
Xiang Xu, University of Kansas
Hodges Hall 210

5:05 PM-5:30 PM

On self-similar converging shock waves
Jiaqi Liu, University of Southern California
Hodges Hall 202

Sunday, April 14, 2024

Time Event Title / Speaker / Details

8:00 AM – 8:30 AM

Breakfast

8:30 AM – 9:15 AM

Hyperbolic and mixed-type problems in gas dynamics and geometry
Dehua Wang, University of Pittsburgh
Hodges Hall 202

9:15 AM – 10:00 AM 

Multiscale Interface Coupling of PDEs and ODEs for Tissue Perfusion
Lorena Bociu, North Carolina State University
Hodges Hall 202

10:00 AM – 10:45 AM 

Global classical solution and singularity formation for supersonic expanding solution for compressible Euler equations with radial symmetry
Geng Chen, University of Kansas
Hodges Hall 202

10:45 AM – 11:00 AM

Closing