This book surveys significant modern contributions to the
mathematical theories of generalized heat wave equations. The first
three chapters form a comprehensive survey of most modern
contributions also describing in detail the mathematical properties
of each model. Acceleration waves and shock waves are the focus in
the next two chapters. Numerical techniques, continuous data
dependence, and spatial stability of the solution in a cylinder,
feature prominently among other topics treated in the following two
chapters. The final two chapters are devoted to a description of
selected applications and the corresponding formation of
mathematical models. Illustrations are taken from a broad range
that includes nanofluids, porous media, thin films, nuclear
reactors, traffic flow, biology, and medicine, all of contemporary
active technological importance and interest.
This book will be of value to applied mathematicians,
theoretical engineers and other practitioners who wish to know both
the theory and its relevance to diverse applications.
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