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Memoirs of the American Mathematical Society
1997; 120 pp; softcover
List Price: US$45
Individual Members: US$27
Institutional Members: US$36
Order Code: MEMO/125/599
Physical models of conservation form--such as the compressible Navier-Stokes equations, and MHD and full nonlinear elasticity equations--are not uniformly parabolic, but rather hyperbolic-parabolic. This memoir gives a self-contained 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.
Graduate students and research mathematicians interested in partial differential equations.
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