Electronic Journal of Differential Equations,
Vol. 2006(2006), No. 149, pp. 1-17.

Title: Nonclassical shock waves of conservation laws:
       Flux function having two inflection points

Authors: Ho Dac Nghia  (International Univ., Ho Chi Minh, Vietnam)
         Mai Duc Thanh (International Univ., Ho Chi Minh, Vietnam)
	 
Abstract: 
 We consider the Riemann problem for  non-genuinely nonlinear
 conservation laws where the flux function admits two inflection
 points. This is a simplification of van der Waals fluid pressure,
 which can be seen  as a function of the specific volume for a
 specific entropy at which the system lacks the non-genuine
 nonlinearity. Corresponding to each inflection point, A
 nonclassical Riemann solver can be uniquely constructed.
 Furthermore, two kinetic relations can be used to construct
 nonclassical Riemann solutions.
 
Submitted September 7, 2006. Published December 5, 2006.
Math Subject Classifications: 35L65, 76N10, 76L05.
Key Words: Conservation law; non-genuine nonlinearity;
           nonclassical solution; kinetic relation.