This monograph provides a concise treatment of the theory of
nonlinear evolutionary partial differential equations. For scalar
hyperbolic conservation laws, the well posedness of the initial
problem in the whole space as well as the initial boundary value
problem in bounded domains is treated. Further, one of the first
rigorous mathematical treatments of a class of non-Newtonian fluids
is given. The new results, obtained here for both problems, have
applications to many rapidly developing areas of physics, biology
and mechanical engineering. Weak and Measure-valued Solutions to
Evolutionary PDEs will be of interest to researchers and graduate
students in mathematics, theoretical physics and engineering. In
particular, engineers and physicists involved in fluid mechanics
research, and mathematicians interested in PDEs will value this
monograph.
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