• PhD in Mathematics, University of California, Irvine, USA, 2012
• MS in Mathematics, National Taiwan University, Taiwan, 2007
• BS in Mathematics, National Taiwan University, Taiwan, 2005

General Fields

• Partial Differential Equations
• Scientific Computation

Specific Topics

• Viscosity Solutions and Optimal Control Theory of Hamilton-Jacobi Equations
• Simulation of Front Propagation in Complex Fluids by Level-Set Type Models

• (Summer 2023)    Singular Value Decomposition and Data Analysis
  (Spring 2023)    Calculus (II)    Introduction to Scientific Computation
  (Fall 2022)    Calculus (I)
• (Summer 2022)    Singular Value Decomposition and Data Analysis
  (Spring 2022)    Applied Linear Algebra    Introduction to Scientific Computation
  (Fall 2021)    Mathematical Modeling
• (Summer 2021)    Brownian Motion and Stochastic Modeling
  (Spring 2021)    Calculus (II)    Introduction to Scientific Computation
  (Fall 2020)    Calculus (I)
• (Summer 2020)    Brownian Motion and Stochastic Modeling
  (Spring 2020)    Advanced Calculus (II)
  (Fall 2019)    Advanced Calculus (I)    Applied Mathematics (I)

Journal Paper

• Yu-Yu Liu* and Jack Xin. Synchronized Front Propagation and Delayed Flame Quenching in Strain G-equation and Time-Periodic Cellular Flows. Minimax Theory and its Applications, Vol. 8, No. 1, 2023, pp. 109--119.
  arxiv: 2112.04360
• Wen-Ching Lien*, Yu-Yu Liu and Chen-Chang Peng. Smooth Transonic Flows Around Cones. Networks and Heterogeneous Media, Vol. 17, No. 6, 2022, pp. 827--845.
  doi: 10.3934/nhm.202202
• Chou Kao, Yu-Yu Liu* and Jack Xin. A Semi-Lagrangian Computation of Front Speeds of G-equation in ABC and Kolmogorov Flows with Estimation via Ballistic Orbits. SIAM Multiscale Modeling and Simulation, Vol. 20, No. 1, 2022, pp. 107--117.
  doi: 10.1137/20M1387699    arxiv: 2012.11129
• Yu-Yu Liu*, Jack Xin and Yifeng Yu. Turbulent Flame Speeds of G-equation Models in Unsteady Cellular Flows. Mathematical Modeling of Natural Phenomenavol, Vol. 8, No. 3, 2013, pp. 198--205.
  doi: 10.1051/mmnp/20138312    arxiv: 1210.1671
• Yu-Yu Liu*,Jack Xin and Yifeng Yu. A Numerical Study of Turbulent Flame Speeds of Curvature and Strain G-equations in Cellular Flows. Physica D: Nonlinear Phenomenavol, Vol. 243, No. 1, 2013, pp. 20--31.
  doi: 10.1016/j.physd.2012.09.008    arxiv: 1202.6152
• Yu-Yu Liu, Jack Xin* and Yifeng Yu. Asymptotics for Turbulent Flame Speeds of the Viscous G-Equation Enhanced by Cellular and Shear Flows. Archive for Rational Mechanics and Analysis, Vol. 202, No. 2, 2011, pp. 461--492.
  doi: 10.1007/s00205-011-0418-y    arxiv: 1007.3332
• Yu-Yu Liu, Jack Xin* and Yifeng Yu. Periodic Homogenization of G-equations and Viscosity Effects. Nonlinearity, Vol. 23, No. 10, 2010, pp. 2351-2367.
  doi: 10.1088/0951-7715/23/10/001

Master Thesis

• Shi-Shiang Yen (顏士翔), MS in Mathematics, NCKU, 2022
  Finding Optimal Trajectories in Front Propagation Problem by Descent through Stochastic Perturbation
• Chou Kao (高宙), MS in Mathematics, NCKU, 2021
  Semi-Lagrangian Schemes for Level-Set Equations
• Benjamin Hu (胡澔剛), MS in Mathematics, NCKU, 2020
  Computing Effective Flow Rates for a Signalized Ring Road
• Wui-Man Cheong (張匯民), MS in Mathematics, NCKU, 2020
  GPU Accelerated Computation of Level-Set Type Combustion Model with PyCUDA