This monograph covers a multitude of concepts, results, and
research topics originating from a classical moving-boundary
problem in two dimensions (idealized Hele-Shaw flows, or classical
Laplacian growth), which has strong connections to many exciting
modern developments in mathematics and theoretical physics. Of
particular interest are the relations between Laplacian growth and
the infinite-size limit of ensembles of random matrices with
complex eigenvalues; integrable hierarchies of differential
equations and their spectral curves; classical and stochastic
Loewner evolution and critical phenomena in two-dimensional
statistical models; weak solutions of hyperbolic partial
differential equations of singular-perturbation type; and
resolution of singularities for compact Riemann surfaces with
anti-holomorphic involution. The book also provides an abundance of
exact classical solutions, many explicit examples of dynamics by
conformal mapping as well as a solid foundation of potential
theory. An extensive bibliography covering over twelve decades of
results and an introduction rich in historical and biographical
details complement the eight main chapters of this monograph. Given
its systematic and consistent notation and background results, this
book provides a self-contained resource. It is accessible to a wide
readership, from beginner graduate students to researchers from
various fields in natural sciences and mathematics.
General
Is the information for this product incomplete, wrong or inappropriate?
Let us know about it.
Does this product have an incorrect or missing image?
Send us a new image.
Is this product missing categories?
Add more categories.
Review This Product
No reviews yet - be the first to create one!
Welcome to Loot.co.za!
Sign in / Register |Wishlists & Gift Vouchers |Help | Advanced search
