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Bifurcation Theory - An Introduction with Applications to Partial Differential Equations (Paperback, 2nd ed. 2012)
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Bifurcation Theory - An Introduction with Applications to Partial Differential Equations (Paperback, 2nd ed. 2012)
Series: Applied Mathematical Sciences, 156
Expected to ship within 10 - 15 working days
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In the past three decades, bifurcation theory has matured into a
well-established and vibrant branch of mathematics. This book gives
a unified presentation in an abstract setting of the main theorems
in bifurcation theory, as well as more recent and lesser known
results. It covers both the local and global theory of
one-parameter bifurcations for operators acting in
infinite-dimensional Banach spaces, and shows how to apply the
theory to problems involving partial differential equations. In
addition to existence, qualitative properties such as stability and
nodal structure of bifurcating solutions are treated in depth. This
volume will serve as an important reference for mathematicians,
physicists, and theoretically-inclined engineers working in
bifurcation theory and its applications to partial differential
equations. The second edition is substantially and formally revised
and new material is added. Among this is bifurcation with a
two-dimensional kernel with applications, the buckling of the Euler
rod, the appearance of Taylor vortices, the singular limit process
of the Cahn-Hilliard model, and an application of this method to
more complicated nonconvex variational problems.
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