Gaowei Cao

PhD

Status

Academic Visitor

Research groups

Oxford Centre for Nonlinear PDE

Address
Mathematical Institute
University of Oxford
Andrew Wiles Building
Radcliffe Observatory Quarter
Woodstock Road
Oxford
OX2 6GG

Preferred address

@email

Major / recent publications

Minimal Entropy Conditions for Scalar Conservation Laws with General Convex Fluxes

Gao-Wei Cao and Gui-Qiang G. Chen, Quarterly of Applied Mathematics, ArXiv Preprint arXiv:2212.11430v2 (2023).

Smooth Solution of Multi-dimensional Nonhomogeneous Conservation Law: Its Formula, and Necessary and Sufficient Blowup Criterion

G. W. Cao, H. Kan, W. Xiang, X. Z. Yang, Acta Math. Appl. Sini., volume 39 issue 1, 17-27 (2023).

Global Structure of Admissible Solutions of Multi-dimensional Non-homogeneous Scalar Conservation Law with Riemann-type Data

G. W. Cao, W. Xiang, X. Z. Yang, Journal of Differential Equations, volume 263 issue 2, 1055-1078 (2017).

Envelope and Classification of Global Structures of Solutions for a Class of Two-dimensional Conservation Laws

G. W. Cao, K. Hu, X. Z. Yang, Acta Math. Appl. Sini., volume 32 issue 3, 579-590 (2016).

Research interests

Gao-Wei Cao's main research areas lie in the mathematical analysis of nonlinear partial differential equations, especially nonlinear scalar equations of conservation laws and stochastic differential equations. His recent research interests include nonlinear hyperbolic conservation laws, shock wave theory, fine properties of entropy solutions, and asymptotic behaviors of entropy solutions.