|
Showing 1 - 14 of
14 matches in All Departments
This book collects papers mainly presented at the "International
Conference on Partial Differential Equations: Theory, Control and
Approximation" (May 28 to June 1, 2012 in Shanghai) in honor of the
scientific legacy of the exceptional mathematician Jacques-Louis
Lions. The contributors are leading experts from all over the
world, including members of the Academies of Sciences in France,
the USA and China etc., and their papers cover key fields of
research, e.g. partial differential equations, control theory and
numerical analysis, that Jacques-Louis Lions created or contributed
so much to establishing.
Spontaneous potential (SP) well-logging is one of the most
common and useful well-logging techniques in petroleum
exploitation. This monograph is the first of its kind on the
mathematical model of spontaneous potential well-logging and its
numerical solutions. The mathematical model established in this
book shows the necessity of introducing Sobolev spaces with
fractional power, which seriously increases the difficulty of
proving the well-posedness and proposing numerical solution
schemes. In this book, in the axisymmetric situation the
well-posedness of the corresponding mathematical model is proved
and three efficient schemes of numerical solution are proposed,
supported by a number of numerical examples to meet practical
computation needs.
This monograph describes global propagation of regular nonlinear
hyperbolic waves described by first-order quasilinear hyperbolic
systems in one dimension. The exposition is clear, concise, and
unfolds systematically beginning with introductory material and
leading to the original research of the authors. Topics are
motivated with a number of physical examples from the areas of
elastic materials, one-dimensional gas dynamics, and waves. Aimed
at researchers and graduate students in partial differential
equations and related topics, this book will stimulate further
research and help readers further understand important aspects and
recent progress of regular nonlinear hyperbolic waves.
Within this carefully presented monograph, the authors extend the
universal phenomenon of synchronization from finite-dimensional
dynamical systems of ordinary differential equations (ODEs) to
infinite-dimensional dynamical systems of partial differential
equations (PDEs). By combining synchronization with
controllability, they introduce the study of synchronization to the
field of control and add new perspectives to the investigation of
synchronization for systems of PDEs. With a focus on
synchronization for a coupled system of wave equations, the text is
divided into three parts corresponding to Dirichlet, Neumann, and
coupled Robin boundary controls. Each part is then subdivided into
chapters detailing exact boundary synchronization and approximate
boundary synchronization, respectively. The core intention is to
give artificial intervention to the evolution of state variables
through appropriate boundary controls for realizing the
synchronization in a finite time, creating a novel viewpoint into
the investigation of synchronization for systems of partial
differential equations, and revealing some essentially dissimilar
characteristics from systems of ordinary differential equations.
Primarily aimed at researchers and graduate students of applied
mathematics and applied sciences, this text will particularly
appeal to those interested in applied PDEs and control theory for
distributed parameter systems.
Within this carefully presented monograph, the authors extend the
universal phenomenon of synchronization from finite-dimensional
dynamical systems of ordinary differential equations (ODEs) to
infinite-dimensional dynamical systems of partial differential
equations (PDEs). By combining synchronization with
controllability, they introduce the study of synchronization to the
field of control and add new perspectives to the investigation of
synchronization for systems of PDEs. With a focus on
synchronization for a coupled system of wave equations, the text is
divided into three parts corresponding to Dirichlet, Neumann, and
coupled Robin boundary controls. Each part is then subdivided into
chapters detailing exact boundary synchronization and approximate
boundary synchronization, respectively. The core intention is to
give artificial intervention to the evolution of state variables
through appropriate boundary controls for realizing the
synchronization in a finite time, creating a novel viewpoint into
the investigation of synchronization for systems of partial
differential equations, and revealing some essentially dissimilar
characteristics from systems of ordinary differential equations.
Primarily aimed at researchers and graduate students of applied
mathematics and applied sciences, this text will particularly
appeal to those interested in applied PDEs and control theory for
distributed parameter systems.
This book focuses on nonlinear wave equations, which are of
considerable significance from both physical and theoretical
perspectives. It also presents complete results on the lower bound
estimates of lifespan (including the global existence), which are
established for classical solutions to the Cauchy problem of
nonlinear wave equations with small initial data in all possible
space dimensions and with all possible integer powers of nonlinear
terms. Further, the book proposes the global iteration method,
which offers a unified and straightforward approach for treating
these kinds of problems. Purely based on the properties of solut
ions to the corresponding linear problems, the method simply
applies the contraction mapping principle.
This book collects papers mainly presented at the "International
Conference on Partial Differential Equations: Theory, Control and
Approximation" (May 28 to June 1, 2012 in Shanghai) in honor of the
scientific legacy of the exceptional mathematician Jacques-Louis
Lions. The contributors are leading experts from all over the
world, including members of the Academies of Sciences in France,
the USA and China etc., and their papers cover key fields of
research, e.g. partial differential equations, control theory and
numerical analysis, that Jacques-Louis Lions created or contributed
so much to establishing.
This book is mainly a collection of lecture notes for the 2021
LIASFMA International Graduate School on Applied Mathematics. It
provides the readers some important results on the theory, the
methods, and the application in the field of 'Control of Partial
Differential Equations'. It is useful for researchers and graduate
students in mathematics or control theory, and for mathematicians
or engineers with an interest in control systems governed by
partial differential equations.
Now available in English for the first time, Physics and Partial
Differential Equations, Volume I bridges physics and applied
mathematics in a manner that is easily accessible to readers with
an undergraduate-level background in these disciplines. Readers who
are more familiar with mathematics than physics will discover the
connection between various physical and mechanical disciplines and
their related mathematical models, which are described by partial
differential equations (PDEs). The authors establish the
fundamental equations for fields such as electrodynamics; fluid
dynamics, magnetohydrodynamics, and reacting fluid dynamics;
elastic, thermoelastic, and viscoelastic mechanics; the kinetic
theory of gases; special relativity; and quantum mechanics. Readers
who are more familiar with physics than mathematics will benefit
from in-depth explanations of how PDEs work as effective
mathematical tools to more clearly express and present the basic
concepts of physics. The book describes the mathematical structures
and features of these PDEs, including the types and basic
characteristics of the equations, the behavior of solutions, and
some commonly used approaches to solving PDEs. Each chapter can be
read independently and includes exercises and references.
This book is a collection of lecture notes for the LIASFMA Shanghai
Summer School on 'One-dimensional Hyperbolic Conservation Laws and
Their Applications' which was held during August 16 to August 27,
2015 at Shanghai Jiao Tong University, Shanghai, China. This summer
school is one of the activities promoted by Sino-French
International Associate Laboratory in Applied Mathematics (LIASFMA
in short). LIASFMA was established jointly by eight institutions in
China and France in 2014, which is aimed at providing a platform
for some of the leading French and Chinese mathematicians to
conduct in-depth researches, extensive exchanges, and student
training in the field of applied mathematics. This summer school
has the privilege of being the first summer school of the newly
established LIASFMA, which makes it significant.
This book is a collection of papers in memory of Gu Chaohao on the
subjects of Differential Geometry, Partial Differential Equations
and Mathematical Physics that Gu Chaohao made great contributions
to with all his intelligence during his lifetime.All contributors
to this book are close friends, colleagues and students of Gu
Chaohao. They are all excellent experts among whom there are 9
members of the Chinese Academy of Sciences. Therefore this book
will provide some important information on the frontiers of the
related subjects.
This book contains a selection of more than 500 mathematical
problems and their solutions from the PhD qualifying examination
papers of more than ten famous American universities. The
mathematical problems cover six aspects of graduate school
mathematics: Algebra, Topology, Differential Geometry, Real
Analysis, Complex Analysis and Partial Differential Equations.
While the depth of knowledge involved is not beyond the contents of
the textbooks for graduate students, discovering the solution of
the problems requires a deep understanding of the mathematical
principles plus skilled techniques. For students, this book is a
valuable complement to textbooks. Whereas for lecturers teaching
graduate school mathematics, it is a helpful reference.
This book contains a selection of more than 500 mathematical
problems and their solutions from the PhD qualifying examination
papers of more than ten famous American universities. The
mathematical problems cover six aspects of graduate school
mathematics: Algebra, Topology, Differential Geometry, Real
Analysis, Complex Analysis and Partial Differential Equations.
While the depth of knowledge involved is not beyond the contents of
the textbooks for graduate students, discovering the solution of
the problems requires a deep understanding of the mathematical
principles plus skilled techniques. For students, this book is a
valuable complement to textbooks. Whereas for lecturers teaching
graduate school mathematics, it is a helpful reference.
This volume is composed of two parts: Mathematical and Numerical
Analysis for Strongly Nonlinear Plasma Models and Exact
Controllability and Observability for Quasilinear Hyperbolic
Systems and Applications. It presents recent progress and results
obtained in the domains related to both subjects without attaching
much importance to the details of proofs but rather to difficulties
encountered, to open problems and possible ways to be exploited. It
will be very useful for promoting further study on some important
problems in the future.
|
You may like...
Loot
Nadine Gordimer
Paperback
(2)
R398
R330
Discovery Miles 3 300
Morbius
Jared Leto, Matt Smith, …
DVD
R179
Discovery Miles 1 790
|