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Research
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Research Interests
- Partial differential equations and
applied mathematics;
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Nonlinear problems in fluid dynamics, hyperbolic conservation laws,
geometry, kinetic theory, etc.
Research Papers
NSF-FRG Project
on multi-dimensional Euler equations and conservation laws (03-07)
NSF-EPSRC Collaborative Research: Stability Analysis for Nonlinear Partial Differential Equations Across Multiscale Applications (22-25)
Vice Chair, SIAM activity group of Analysis of Partial Differential Equations, 1/2025-12/2026.
Editorial Board
Conferences
- (Co-Organizer)
Workshop on PDEs in Fluid Dynamics, University of Pittsburgh, April 12-13, 2025.
- (Co-Organizer)
Workshop on Recent Advances in Hyperbolic PDEs and Applications, University of Pittsburgh, April 6-7, 2024.
- (Co-Organizer)
Workshop on Nonlinear PDEs: Stability Analysis and Multiscale Applications, University of Pittsburgh, April 21-23, 2023.
- (Co-Organizer)
Advances and Challenges in Hyperbolic Conservation Laws, ICERM, Brown University, May 17-21, 2021.
- (Co-Organizer)
Workshop on PDEs in Fluid Dynamics and Applications, University of Pittsburgh, May 8-9, 2021.
- (Co-Organizer)
PDE Forum: Modeling and Analysis, University of Pittsburgh, May 6, 2019.
- (Co-Organizer)
XVII International Conference on Hyperbolic Problems:
Theory, Numerics, Applications, June 25-29, 2018.
- (Co-Organizer)
Workshop on PDEs in Fluid Dynamics, University of Pittsburgh, November 3-5, 2017.
- (Co-Organizer)
Workshop on Nonlinear Waves: Analysis and Applications, University of Pittsburgh, March 17-19, 2017.
- (Co-Organizer)
Workshop on Stochastic PDEs, University of Pittsburgh, December 4-5, 2015.
- (Co-Organizer)
Conference on PDEs and Free Boundary Problems, University of Pittsburgh, March 11 - 14, 2015.
- (Co-Organizer)
Workshop on Hyperbolic Conservation Laws and Infinite-Dimensional Dynamical Systems,
University of Pittsburgh, University of Pittsburgh, March 30-April 1, 2012.
- (Co-Chair)
SIAM Conference on Analysis of Partial Differential Equations, San Diego, CA, November 14-17, 2011.
- (Co-Organizer)
IMA Summer Program: Nonlinear Conservation Laws and Applications, July 13-31, 2009.
- (Co-Organizer)
FRG Workshop on Multi-Dimensional Euler Equations and Conservation Laws,
University of Pittsburgh, November 6-9, 2003.
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