Identifiant pérenne de la notice : 208011277
Notice de type
Notice de regroupement
Note publique d'information : 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
paprika.idref.fr
data.idref.fr
Documentation
