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Jingchi Huang

Research Associate

The Pennsylvania State University
Department of Mathematics

Ph.D. of Mathematics
University of Chinese Academy of Sciences, China

Office: 210 McAllister Building
Phone: (814) 863-8578
Email: juh43@psu.edu

Office Hours:
Wednesday 1--3 pm
or by appointment


Teaching:

Math 230 Calculus and Vector Analysis, Fall 2013

Math 230 Calculus and Vector Analysis, Spring 2014

Math 231 Calculus of Several Variables, Fall 2014


Research Interests:

  • Partial Differential Equations
  • Fluid Mechanics
  • If you want to know more about my studies, you can access my Curriculum Vitae.


    Recent Publications and Preprints:

  • No-blow-up of solutions to a nonlinear system of variational wave systems. Preprint, (with Yuxi Zheng)
  • Global wellposedness of 3-D inhomogeneous Navier-Stokes system with initial velocity being a small perturbation of 2-D solenoidal vector field. Preprint
  • On the decay of global solutions to 2-D inhomogeneous Navier-Stokes equation. Preprint
  • Decay estimates of global solutions to 2D incompressible inhomogeneous Navier-Stokes equations with variable viscosity. Discrete and Continuous Dynamical Systems,Series A,(11),34,4647-4669,2014, (with Marius Paicu).
  • Global solutions to 2-D inhomogeneous Navier-Stokes system with general velocity. Journal de Mathématiques Pures et Appliquées,(9),100(6),806-831,2013, (with Marius Paicu,Ping Zhang).
  • Global well-posdeness of incompressible inhomogeneous fluid system with bounded density and non-Lipschitz velocity. Archive for Rational Mechanics and Analysis,209(2),631-682,2013, (with Marius Paicu,Ping Zhang).
  • Global solutions to the 3-D incompressible inhomogeneous Navier-Stokes system with rough density. Progress in Nonlinear Differential Equations and Their Applications,84,173-194,2013, (with Marius Paicu,Ping Zhang).
  • Large global solutions to 3-D inhomogeneous Navier-Stokes equations slowly varying in one variable. Journal of Functional Analysis,261(11),3181-3210,2011), (with Guilong Gui,Ping Zhang).