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The proposed new book fills a gap. It will do it admirably. There
is no competing book. Present a synthesis of past work, 'connect
the dots' so that the work of physical geographers,
geomorphologists, physicists and climatologists, hydrologists and
related fields can be made available within one book. Be a
compendium of all that we know about dunes in the nominated
regions. Show how such knowledge can help mankind as new
generations face novel and unprecedented challenges.
Short Blurb (350 characters): Sand dunes are common aeolian
landforms and are found on over ~40% of the Earth’s land surface.
Distribution and characteristics of sand dunes in the northern
hemisphere are the major focus. Standard Blurb (700 characters):
Sand dunes are common aeolian landforms and are found on over ~40%
of the Earth’s land surface. Distribution and characteristics of
sand dunes in the northern hemisphere are the major focus.
Practical advice on how to deal with migrating dunes and a
description of proven practices are presented. The application of
recently available high-resolution satellite data for mapping and
change detection and a summary of advances in techniques for
characterizing the mineralogy of sand is explained. The target
audience of this book will be those working in the fields of arid
land studies, geoinformatics, social sciences, and landscape
ecology. Key Features: • Present a synthesis of past work,
'connect the dots' so that the work of physical geographers,
geomorphologists, physicists and climatologists, hydrologists, and
related fields can be made available within one book. •
Exhaustively reviews the key recent research on the typology,
distribution, formation and current status of sand dunes •
Provides a synoptic overview of the current problems and prospects
for controlling migrating sand dunes that threaten infrastructure,
and encroaches on agricultural land and urban areas. •
Demonstrates the utility of new advanced monitoring techniques such
as high-resolution satellite imagery and specialized laboratory
equipment to study the mineralogy and structure of dune sands
The classical Pontryagin maximum principle (addressed to
deterministic finite dimensional control systems) is one of the
three milestones in modern control theory. The corresponding theory
is by now well-developed in the deterministic infinite dimensional
setting and for the stochastic differential equations. However,
very little is known about the same problem but for controlled
stochastic (infinite dimensional) evolution equations when the
diffusion term contains the control variables and the control
domains are allowed to be non-convex. Indeed, it is one of the
longstanding unsolved problems in stochastic control theory to
establish the Pontryagin type maximum principle for this kind of
general control systems: this book aims to give a solution to this
problem. This book will be useful for both beginners and experts
who are interested in optimal control theory for stochastic
evolution equations.
This is the first book to systematically present control theory for
stochastic distributed parameter systems, a comparatively new
branch of mathematical control theory. The new phenomena and
difficulties arising in the study of controllability and optimal
control problems for this type of system are explained in detail.
Interestingly enough, one has to develop new mathematical tools to
solve some problems in this field, such as the global Carleman
estimate for stochastic partial differential equations and the
stochastic transposition method for backward stochastic evolution
equations. In a certain sense, the stochastic distributed parameter
control system is the most general control system in the context of
classical physics. Accordingly, studying this field may also yield
valuable insights into quantum control systems. A basic grasp of
functional analysis, partial differential equations, and control
theory for deterministic systems is the only prerequisite for
reading this book.
This is the first book to systematically present control theory for
stochastic distributed parameter systems, a comparatively new
branch of mathematical control theory. The new phenomena and
difficulties arising in the study of controllability and optimal
control problems for this type of system are explained in detail.
Interestingly enough, one has to develop new mathematical tools to
solve some problems in this field, such as the global Carleman
estimate for stochastic partial differential equations and the
stochastic transposition method for backward stochastic evolution
equations. In a certain sense, the stochastic distributed parameter
control system is the most general control system in the context of
classical physics. Accordingly, studying this field may also yield
valuable insights into quantum control systems. A basic grasp of
functional analysis, partial differential equations, and control
theory for deterministic systems is the only prerequisite for
reading this book.
This book provides a brief, self-contained introduction to Carleman
estimates for three typical second order partial differential
equations, namely elliptic, parabolic, and hyperbolic equations,
and their typical applications in control, unique continuation, and
inverse problems. There are three particularly important and novel
features of the book. First, only some basic calculus is needed in
order to obtain the main results presented, though some elementary
knowledge of functional analysis and partial differential equations
will be helpful in understanding them. Second, all Carleman
estimates in the book are derived from a fundamental identity for a
second order partial differential operator; the only difference is
the choice of weight functions. Third, only rather weak smoothness
and/or integrability conditions are needed for the coefficients
appearing in the equations. Carleman Estimates for Second Order
Partial Differential Operators and Applications will be of interest
to all researchers in the field.
The extreme climate variability that characterizes China's arid
rangelands can cause drought and degradation, resulting in dust
storms, floods, animal losses, financial hardship and a decline in
food availability. Addressing the issues of even greater climate
extremes in the future, this book discusses both new approaches and
past successes and failures in order to provide the necessary
insight to develop sustainable rangeland management strategies,
drawing on regional case studies and lessons learned from
Australia, Canada and the USA.
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