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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
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Nonlinear PDEs - Mathematical Models in Biology, Chemistry and Population Genetics (Hardcover, 2012)
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Nonlinear PDEs - Mathematical Models in Biology, Chemistry and Population Genetics (Hardcover, 2012)
Series: Springer Monographs in Mathematics
Expected to ship within 10 - 15 working days
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The emphasis throughout the present volume is on the practical
application of theoretical mathematical models helping to unravel
the underlying mechanisms involved in processes from mathematical
physics and biosciences. It has been conceived as a unique
collection of abstract methods dealing especially with nonlinear
partial differential equations (either stationary or evolutionary)
that are applied to understand concrete processes involving some
important applications related to phenomena such as: boundary layer
phenomena for viscous fluids, population dynamics,, dead core
phenomena, etc. It addresses researchers and post-graduate students
working at the interplay between mathematics and other fields of
science and technology and is a comprehensive introduction to the
theory of nonlinear partial differential equations and its main
principles also presents their real-life applications in various
contexts: mathematical physics, chemistry, mathematical biology,
and population genetics. Based on the authors' original work, this
volume provides an overview of the field, with examples suitable
for researchers but also for graduate students entering research.
The method of presentation appeals to readers with diverse
backgrounds in partial differential equations and functional
analysis. Each chapter includes detailed heuristic arguments,
providing thorough motivation for the material developed later in
the text. The content demonstrates in a firm way that partial
differential equations can be used to address a large variety of
phenomena occurring in and influencing our daily lives. The
extensive reference list and index make this book a valuable
resource for researchers working in a variety of fields and who are
interested in phenomena modeled by nonlinear partial differential
equations.
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