Memoirs of the American Mathematical Society 1997; 120 pp; softcover Volume: 125 ISBN10: 0821805452 ISBN13: 9780821805459 List Price: US$48 Individual Members: US$28.80 Institutional Members: US$38.40 Order Code: MEMO/125/599
 Physical models of conservation formsuch as the compressible NavierStokes equations, and MHD and full nonlinear elasticity equationsare not uniformly parabolic, but rather hyperbolicparabolic. This memoir gives a selfcontained analysis of nonlinear interactions of dissipation waves as well as the hyperbolic aspects of general systems. It introduces the new pointwise estimates of Green functions and coupling of nonlinear waves. Readership Graduate students and research mathematicians interested in partial differential equations. Table of Contents  Introduction
 Viscous conservation laws
 Diffusion waves
 Systems with diagonalizable linearizations
 Green's function for a \(2\times 2\) linear system
 Green's functions for \(n\times n\) systems with applications
 Energy estimate
 Systems with nondiagonalizable linearizations
 Applications to continuum mechanics
 References
