Campuses:

An introduction to multidimensional conservation laws. Lecture 1

Monday, July 13, 2009 - 10:45am - 11:45am
EE/CS 3-180
Gui-Qiang Chen (Northwestern University)
This series of four lectures will provide an introduction
to multidimensional conservation laws, along with a perspective on a
list of open problems. The main topics will include:


  1. Prototypes and Basic Features/Phenomena


  2. Multidimensional Models


  3. Multidimensional Steady Problems



  4. Multidimensional Self-Similar Problems



  5. Compressible Vortex Sheets and Related Problems



  6. Divergence-Measure Fields and Hyperbolic Conservation
    Laws



Lecture References:


  1. Gui-Qiang Chen, Euler Equations and Related Hyperbolic
    Conservation Laws, In: Handbook of Differential Equations:
    Evolutionary Differential Equations, Vol. 2, pp. 1-104, 2005,
    Eds. C.~M. Dafermos and E. Feireisl, Elsevier: Amsterdam,
    Netherlands


  2. Gui-Qiang Chen and Mikhail Feldman,
    Shock Reflection-Diffraction and Multidimensional
    Conservation Laws, In: Proceedings of the 2008 Hyperbolic
    Conference: Theory, Numerics, and Application, AMS: Providence,
    2009.


  3. Gui-Qiang Chen, Monica Torres, and William Ziemer,
    Measure-Theoretical Analysis and Nonlinear Conservation Laws,
    Pure Appl. Math. Quarterly, 3 (2007), 841-879

    (To Leon Simon on his 60th birthday).


  4. Gui-Qiang Chen, Marshall Slemrod, and Dehua Wang,
    Conservation
    Laws: Transonic Flow and Differential Geometry, In: Proceedings
    of
    the 2008 Hyperbolic Conference: Theory, Numerics, and
    Application,
    AMS: Providence, 2009.



*You may directly download them from

http://www.math.northwestern.edu/~gqchen/preprints/

MSC Code: 
35L65