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This book gathers contributions on various aspects of the theory
and applications of linear and nonlinear waves and associated
phenomena, as well as approaches developed in a global partnership
of researchers with the national Centre of Excellence in Nonlinear
Studies (CENS) at the Department of Cybernetics of Tallinn
University of Technology in Estonia. The papers chiefly focus on
the role of mathematics in the analysis of wave phenomena. They
highlight the complexity of related topics concerning wave
generation, propagation, transformation and impact in solids,
gases, fluids and human tissues, while also sharing insights into
selected mathematical methods for the analytical and numerical
treatment of complex phenomena. In addition, the contributions
derive advanced mathematical models, share innovative ideas on
computing, and present novel applications for a number of research
fields where both linear and nonlinear wave problems play an
important role. The papers are written in a tutorial style,
intended for non-specialist researchers and students. The authors
first describe the basics of a problem that is currently of
interest in the scientific community, discuss the state of the art
in related research, and then share their own experiences in
tackling the problem. Each chapter highlights the importance of
applied mathematics for central issues in the study of waves and
associated complex phenomena in different media. The topics range
from basic principles of wave mechanics up to the mathematics of
Planet Earth in the broadest sense, including contemporary
challenges in the mathematics of society. In turn, the areas of
application range from classic ocean wave mathematics to material
science, and to human nerves and tissues. All contributions
describe the approaches in a straightforward manner, making them
ideal material for educational purposes, e.g. for courses, master
class lectures, or seminar presentations.
The aim of the book is to present for non-specialist researchers as
well as for experts a comprehensive overview of the background, key
ideas, basic methods, implementation details and a selection of
solutions offered by a novel technology for the optimisation of the
location of dangerous offshore activities in terms of environmental
criteria, as developed in the course of the BalticWay project. The
book consists of two parts. The first part introduces the basic
principles of ocean modeling and depicts the long way from the
generic principles to the practical modeling of oil spills and of
the propagation of other adverse impacts. The second part focuses
on the techniques for solving the inverse problem of the
quantification of offshore areas with respect to their potential to
serve as a source of environmental danger to vulnerable regions
(such as spawning, nursing or also tourist areas). The chapters are
written in a tutorial style; they are mostly self-contained and
understandable for non-specialist researchers and students. They
are carefully peer-reviewed by international experts. The goal was
to produce a book that highlights all key steps, methods, models
and data sets it is necessary to combine in order to produce a
practically usable technology and/or decision support system for a
particular sea region. Thus the book is useful not only as a
description and a manual of this particular technology but also as
a roadmap highlighting the complicated technical issues of ocean
modeling for practical purposes. It describes the approaches taken
by the authors in an understandable way and thus is useful for
educational purposes, such as a course in industrially and
environmentally relevant applications of ocean modeling.
This edited volume consists of twelve contributions related to the
EU Marie Curie Transfer of Knowledge Project Cooperation of
Estonian and Norwegian Scienti c Centres within Mathematics and its
Applications, CENS-CMA (2005-2009), - der contract
MTKD-CT-2004-013909, which ?nanced exchange visits to and from
CENS, the Centre for Nonlinear Studies at the Institute of
Cybernetics of Tallinn University of Technology in Estonia. Seven
contributions describe research highlights of CENS members, two the
work of members of CMA, the Centre of Mathematics for
Applications,Univ- sity of Oslo, Norway, as the partner institution
of CENS in the Marie Curie project, and three the ?eld of work of
foreign research fellows, who visited CENS as part of theproject.
Thestructureofthebookre?ectsthedistributionofthetopicsaddressed:
Part I Waves in Solids Part II Mesoscopic Theory Part III
Exploiting the Dissipation Inequality Part IV Waves in Fluids Part
V Mathematical Methods The papers are written in a tutorial style,
intended for non-specialist researchers and students, where the
authors communicate their own experiences in tackling a problem
that is currently of interest in the scienti?c community. The goal
was to produce a book, which highlights the importance of applied
mathematics and which can be used for educational purposes, such as
material for a course or a seminar. To ensure the scienti?c quality
of the contributions, each paper was carefully - viewed by two
international experts. Special thanks go to all authors and
referees, without whom making this book would not have been
possible.
The aim of the book is to present for non-specialist researchers as
well as for experts a comprehensive overview of the background, key
ideas, basic methods, implementation details and a selection of
solutions offered by a novel technology for the optimisation of the
location of dangerous offshore activities in terms of environmental
criteria, as developed in the course of the BalticWay project. The
book consists of two parts. The first part introduces the basic
principles of ocean modeling and depicts the long way from the
generic principles to the practical modeling of oil spills and of
the propagation of other adverse impacts. The second part focuses
on the techniques for solving the inverse problem of the
quantification of offshore areas with respect to their potential to
serve as a source of environmental danger to vulnerable regions
(such as spawning, nursing or also tourist areas). The chapters are
written in a tutorial style; they are mostly self-contained and
understandable for non-specialist researchers and students. They
are carefully peer-reviewed by international experts. The goal was
to produce a book that highlights all key steps, methods, models
and data sets it is necessary to combine in order to produce a
practically usable technology and/or decision support system for a
particular sea region. Thus the book is useful not only as a
description and a manual of this particular technology but also as
a roadmap highlighting the complicated technical issues of ocean
modeling for practical purposes. It describes the approaches taken
by the authors in an understandable way and thus is useful for
educational purposes, such as a course in industrially and
environmentally relevant applications of ocean modeling.
This book gathers contributions on various aspects of the theory
and applications of linear and nonlinear waves and associated
phenomena, as well as approaches developed in a global partnership
of researchers with the national Centre of Excellence in Nonlinear
Studies (CENS) at the Department of Cybernetics of Tallinn
University of Technology in Estonia. The papers chiefly focus on
the role of mathematics in the analysis of wave phenomena. They
highlight the complexity of related topics concerning wave
generation, propagation, transformation and impact in solids,
gases, fluids and human tissues, while also sharing insights into
selected mathematical methods for the analytical and numerical
treatment of complex phenomena. In addition, the contributions
derive advanced mathematical models, share innovative ideas on
computing, and present novel applications for a number of research
fields where both linear and nonlinear wave problems play an
important role. The papers are written in a tutorial style,
intended for non-specialist researchers and students. The authors
first describe the basics of a problem that is currently of
interest in the scientific community, discuss the state of the art
in related research, and then share their own experiences in
tackling the problem. Each chapter highlights the importance of
applied mathematics for central issues in the study of waves and
associated complex phenomena in different media. The topics range
from basic principles of wave mechanics up to the mathematics of
Planet Earth in the broadest sense, including contemporary
challenges in the mathematics of society. In turn, the areas of
application range from classic ocean wave mathematics to material
science, and to human nerves and tissues. All contributions
describe the approaches in a straightforward manner, making them
ideal material for educational purposes, e.g. for courses, master
class lectures, or seminar presentations.
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