Ning Ju

Associate Professor of Mathematics

Contact Info

Office : 434 Maths Sciences

Phone: (405)744-5691

Dept Fax: (405)744-8275

Email: n_i_n_g_j_u (at) m_a_t_h
(dot) o_k_s_t_a_t_e (dot) e_d_u

Mailing Address:

Department of Mathematics

Oklahoma State University

401 Mathematical Sciences

Stillwater, OK 74078, USA

Teaching, Spring 2008

• Math 2163, Multi-variable Calculus.
• Math 5553, Numerical Analysis of Linear Algebra.

Research Interests

• Mathematical Fluid Dynamics
• Partial Differential Equations (PDE)
• Numerical Analysis
• Dynamical Systems

Publications

• Numerical Analysis of Parabolic p-Laplacian Problem: Approximation of Trajectories, SIAM J. Numer. Anal. 37 (2000), no. 6, 1861--1884.
• Estimates of Asymptotic Degrees of Freedom for Solutions to the Navier-Stokes Equations, Nonlinearity 13 (2000), no. 3, 777--789.
• H^1-compact Global Attractor for the Strong Solutions to the Navier-Stokes Equations in 2D Unbounded Domains, Nonlinearity 13 (2000), no. 4, 1227-1238.
• Existence of Global Attractor for the 3D Modified Navier-Stokes Equations, Nonlinearity. 14 (2001), 777-786.
• (with S. Wiggins) On Roughness of Exponential Dichotomy, Journal of Mathematical Analysis and Application. 264 (2001), 39-49.
• On the Global Stability of a Temporal Discretization Scheme for the Navier-Stokes Equations, IMA J. Numer. Anal., 22 (2002), 577-597.
• (with T. Wu, et al.) Application of Symplectic Algorithms to Quasi-Classic Trajectories Calculation, Science in China, Series B, 45, (2002) No.1, 15-20. (full content in English).
• (with D. Small and S. Wiggins) Existence and Computation of Hyperbolic Trajectories of Aperiodically Time Dependent Vector Fields and Their Approximations, International Journal of Bifurcation and Chaos, 13 (2003), no. 6, 1449-1457
• Existence and Uniqueness of the Solution to the Dissipative 2D Quasi-Geostrophic Equations in the Sobolev Space, Communications in Mathematical Physics, 251 (2004), no. 2, 365-376.
• The Maximum Principle and the Global Attractor for 2D Dissipative Quasi-Geostrophic Equations, Communications in Mathematical Physics, 255 (2005), no. 1, 161-181.
• On the 2D Dissipative Quasi-Geostrophic Equations, Indiana University Mathematics Journal, 54 (2005). no.3, 897-926.
• Global Solutions to the Two Dimensional Quasi-Geostrophic Equation with Critical or Super-Critical Dissipation, Mathematische Annalen, 334 (2006), no.3, 627-642.
• Geometric Depletion of Vortex Stretch in 3D Viscous Incompressible Flow, Journal of Mathematical Analysis and Applications, 321 (2006), 412-425.
• Geometric Constrains for Global Regularity of 2D Quasi-Geostrophic Flow, Journal of Differential Equations, 226 (2006), 54-79.
• Dissipative Quasi-Geostrophic Equation: Local Well-posedness, Global Regularity and Similarity Solutions, Indiana University Mathematics Journal, 2006, in press.
• The 2D Quasi-Geostrophic Equations in the Sobolev Space, Contemporary Mathematics, to appear, 2007.
• The Global Attractor for the Solutions to the 3D Viscous Primitive Equations, Discrete and Continuous Dynamical Systems, vol 17, no. 1, (2007), 159-179.

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