Hildebrandt Assistant Professor	4839 East Hall, 530 Church Street
Department of Mathematics	Email:bincheng_'at'_umich_'dot'_edu
University of Michigan Ann Arbor, MI	Office Phone: (734)763-7867

I am teaching Math 454 Fall 2009, Applied Partial Differential Equations (webpage)
More class webpages

• Profiles
  • Curriculum Vitae (September, 2009)
    
    
• Research Interests
  
  • Euler equations w/ external forcing
    • Rotating shallow water equations
    • Euler-Poissin equations
    • Multi-component systems
  • Singular limit problems in hyperbolic PDEs
  • Numerical Analysis
    • PDE-based image processing
    • Pointwise convergence estimate for Finite Difference schemes
    
    
• Publications and preprints
  • (pdf) Chunjing Xie and Bin Cheng, On the classical solutions of two dimensional Rotating Shallow Water system, submitted to CMP (2009).
  • (pdf) Bin Cheng and Eitan Tadmor, An improved local blow-up condition for Euler-Poisson equations with attractive forcing, Physica D, vol. 238 (2009), no. 20, pp. 2062-2066 (2009).
  • (pdf) Bin Cheng, Multiscale dynamics of 2D rotational compressible Euler equations, to appear in ``Hyperbolic problems: theory, numerics, applications" (E. Tadmor, J-G Liu, and T. Tzavaras, eds.), Proceedings of the 9th International Conference (HYP2008) held at University of Maryland, College Park, MD, USA, (2009).
  • (pdf) Bin Cheng and Eitan Tadmor. Long time existence of smooth solutions for the rapidly rotating shallow-water equations and Euler equations. SIAM Journal on Mathematical Analysis, vol. 39 (2008), no. 5, pp. 1668-1685



• Invited talks
  • On the classical solutions of two dimensional inviscid rotating shallow water system (abstract)
    Kinetic Description of Multiscale Phenomena, The Annual Kinetic FRG Meeting (FRG09)
    CSCAMM, Univeristy of Maryland, September 21-25, 2009
  • Rotational Shallow Water Equations with Multiple Fast Scales -- Analysis and Applications
    Applied Math seminar, Michigan State University, East Lancing, MI. September 26, 2008
    
  • Multiscale dynamics of 2D rotational, compressible Euler equations -- an analytic approach (abstract)
    12th International Conference on Hyperbolic Problems, Theories, Numerics, Applications (HYP2008)    
    College Park, USA     June 9-13, 2008
  • On the Stability of the Rotational Shallow Water Equations (abstract, slides)
    11th International Conference on Hyperbolic Problems, Theories, Numerics, Applications (HYP2006)    
    Lyon, France     July 17-21, 2006
  • On the Long Time Regularity of the Shallow Water Equations
    SIAM Conference of Analysis of PDEs     Boston, MA     July 10-12, 2006
    
    
• Teaching
  • Math 454 Fall 2009, Applied Partial Differential Equations (webpage)
  • Math 454 Spring 2009, Applied Partial Differential Equations (webpage)
  • Math 371 Winter 2009, Numerical Methods (lecture notes here)
  • Math 454 Fall 2008, Applied Partial Differential Equations
  • Math 216 Summer 2008, Differential Equations (webpage)
  • Math 354 Winter 2008, Fourier Analysis and its Applications (webpage)
  • Math 316 Fall 2007, Differential Equationsm

Last update on Octobor 14, 2009