An Introduction to Fronts in Random Media (Surveys and Tutorials in the Applied Mathematical Sciences)

0 avg rating
( 0 ratings by Goodreads )
 
9780387876825: An Introduction to Fronts in Random Media (Surveys and Tutorials in the Applied Mathematical Sciences)

This book aims to give a user friendly tutorial of an interdisciplinary research topic (fronts or interfaces in random media) to senior undergraduates and beginning grad uate students with basic knowledge of partial differential equations (PDE) and prob ability. The approach taken is semiformal, using elementary methods to introduce ideas and motivate results as much as possible, then outlining how to pursue rigor ous theorems, with details to be found in the references section. Since the topic concerns both differential equations and probability, and proba bility is traditionally a quite technical subject with a heavy measure theoretic com ponent, the book strives to develop a simplistic approach so that students can grasp the essentials of fronts and random media and their applications in a self contained tutorial. The book introduces three fundamental PDEs (the Burgers equation, Hamilton– Jacobi equations, and reaction–diffusion equations), analysis of their formulas and front solutions, and related stochastic processes. It builds up tools gradually, so that students are brought to the frontiers of research at a steady pace. A moderate number of exercises are provided to consolidate the concepts and ideas. The main methods are representation formulas of solutions, Laplace meth ods, homogenization, ergodic theory, central limit theorems, large deviation princi ples, variational principles, maximum principles, and Harnack inequalities, among others. These methods are normally covered in separate books on either differential equations or probability. It is my hope that this tutorial will help to illustrate how to combine these tools in solving concrete problems.

"synopsis" may belong to another edition of this title.

From the Back Cover:

This book gives a user friendly tutorial to Fronts in Random Media, an interdisciplinary research topic, to senior undergraduates and graduate students in the mathematical sciences, physical sciences and engineering.

Fronts or interface motion occur in a wide range of scientific areas where the physical and chemical laws are expressed in terms of differential equations. Heterogeneities are always present in natural environments: fluid convection in combustion, porous structures, noise effects in material manufacturing to name a few.

Stochastic models hence become natural due to the often lack of complete data in applications.

The transition from seeking deterministic solutions to stochastic solutions is both a conceptual change of thinking and a technical change of tools. The book explains ideas and results systematically in a motivating manner. It covers multi-scale and random fronts in three fundamental equations (Burgers, Hamilton-Jacobi, and reaction-diffusion-advection equations) and explores their connections and mechanical analogies. It discusses representation formulas, Laplace methods, homogenization, ergodic theory, central limit theorems, large-deviation principles, variational and maximum principles.

It shows how to combine these tools to solve concrete problems.

Students and researchers will find the step by step approach  and the open problems in the book particularly useful.

 

"About this title" may belong to another edition of this title.

Top Search Results from the AbeBooks Marketplace

1.

Jack Xin
ISBN 10: 0387876820 ISBN 13: 9780387876825
New Quantity Available: 1
Seller:
Books-FYI, Inc.
(Cadiz, KY, U.S.A.)
Rating
[?]

Book Description Book Condition: New. Bookseller Inventory # 23MA3O00A06V

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 5.42
Convert Currency

Add to Basket

Shipping: US$ 3.99
Within U.S.A.
Destination, Rates & Speeds

2.

Jack Xin
Published by Springer (2009)
ISBN 10: 0387876820 ISBN 13: 9780387876825
New Paperback Quantity Available: 1
Seller:
Irish Booksellers
(Rumford, ME, U.S.A.)
Rating
[?]

Book Description Springer, 2009. Paperback. Book Condition: New. book. Bookseller Inventory # M0387876820

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 29.95
Convert Currency

Add to Basket

Shipping: FREE
Within U.S.A.
Destination, Rates & Speeds

3.

Jack Xin
Published by Springer (2009)
ISBN 10: 0387876820 ISBN 13: 9780387876825
New Paperback Quantity Available: 1
Print on Demand
Seller:
Ergodebooks
(RICHMOND, TX, U.S.A.)
Rating
[?]

Book Description Springer, 2009. Paperback. Book Condition: New. 2009. This item is printed on demand. Bookseller Inventory # DADAX0387876820

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 30.62
Convert Currency

Add to Basket

Shipping: US$ 3.99
Within U.S.A.
Destination, Rates & Speeds

4.

Xin, Jack
Published by Springer (2017)
ISBN 10: 0387876820 ISBN 13: 9780387876825
New Paperback Quantity Available: 2
Print on Demand
Seller:
Murray Media
(North Miami Beach, FL, U.S.A.)
Rating
[?]

Book Description Springer, 2017. Paperback. Book Condition: New. Never used! This item is printed on demand. Bookseller Inventory # P110387876820

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 35.06
Convert Currency

Add to Basket

Shipping: US$ 1.99
Within U.S.A.
Destination, Rates & Speeds

5.

Jack Xin
Published by Springer-Verlag New York Inc., United States (2009)
ISBN 10: 0387876820 ISBN 13: 9780387876825
New Paperback Quantity Available: 1
Seller:
The Book Depository US
(London, United Kingdom)
Rating
[?]

Book Description Springer-Verlag New York Inc., United States, 2009. Paperback. Book Condition: New. Language: English . Brand New Book. This book aims to give a user friendly tutorial of an interdisciplinary research topic (fronts or interfaces in random media) to senior undergraduates and beginning grad uate students with basic knowledge of partial differential equations (PDE) and prob ability. The approach taken is semiformal, using elementary methods to introduce ideas and motivate results as much as possible, then outlining how to pursue rigor ous theorems, with details to be found in the references section. Since the topic concerns both differential equations and probability, and proba bility is traditionally a quite technical subject with a heavy measure theoretic com ponent, the book strives to develop a simplistic approach so that students can grasp the essentials of fronts and random media and their applications in a self contained tutorial. The book introduces three fundamental PDEs (the Burgers equation, Hamilton- Jacobi equations, and reaction-diffusion equations), analysis of their formulas and front solutions, and related stochastic processes. It builds up tools gradually, so that students are brought to the frontiers of research at a steady pace. A moderate number of exercises are provided to consolidate the concepts and ideas. The main methods are representation formulas of solutions, Laplace meth ods, homogenization, ergodic theory, central limit theorems, large deviation princi ples, variational principles, maximum principles, and Harnack inequalities, among others. These methods are normally covered in separate books on either differential equations or probability. It is my hope that this tutorial will help to illustrate how to combine these tools in solving concrete problems. Bookseller Inventory # LIB9780387876825

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 46.39
Convert Currency

Add to Basket

Shipping: FREE
From United Kingdom to U.S.A.
Destination, Rates & Speeds

6.

Jack Xin
Published by Springer-Verlag New York Inc., United States (2009)
ISBN 10: 0387876820 ISBN 13: 9780387876825
New Paperback Quantity Available: 1
Seller:
The Book Depository
(London, United Kingdom)
Rating
[?]

Book Description Springer-Verlag New York Inc., United States, 2009. Paperback. Book Condition: New. Language: English . Brand New Book. This book aims to give a user friendly tutorial of an interdisciplinary research topic (fronts or interfaces in random media) to senior undergraduates and beginning grad uate students with basic knowledge of partial differential equations (PDE) and prob ability. The approach taken is semiformal, using elementary methods to introduce ideas and motivate results as much as possible, then outlining how to pursue rigor ous theorems, with details to be found in the references section. Since the topic concerns both differential equations and probability, and proba bility is traditionally a quite technical subject with a heavy measure theoretic com ponent, the book strives to develop a simplistic approach so that students can grasp the essentials of fronts and random media and their applications in a self contained tutorial. The book introduces three fundamental PDEs (the Burgers equation, Hamilton- Jacobi equations, and reaction-diffusion equations), analysis of their formulas and front solutions, and related stochastic processes. It builds up tools gradually, so that students are brought to the frontiers of research at a steady pace. A moderate number of exercises are provided to consolidate the concepts and ideas. The main methods are representation formulas of solutions, Laplace meth ods, homogenization, ergodic theory, central limit theorems, large deviation princi ples, variational principles, maximum principles, and Harnack inequalities, among others. These methods are normally covered in separate books on either differential equations or probability. It is my hope that this tutorial will help to illustrate how to combine these tools in solving concrete problems. Bookseller Inventory # LIB9780387876825

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 46.82
Convert Currency

Add to Basket

Shipping: FREE
From United Kingdom to U.S.A.
Destination, Rates & Speeds

7.

Jack Xin
Published by Springer-Verlag New York Inc. (2009)
ISBN 10: 0387876820 ISBN 13: 9780387876825
New Quantity Available: > 20
Print on Demand
Seller:
Pbshop
(Wood Dale, IL, U.S.A.)
Rating
[?]

Book Description Springer-Verlag New York Inc., 2009. PAP. Book Condition: New. New Book. Shipped from US within 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Bookseller Inventory # IQ-9780387876825

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 43.34
Convert Currency

Add to Basket

Shipping: US$ 3.99
Within U.S.A.
Destination, Rates & Speeds

8.

Xin, Jack
Published by Springer Verlag (2009)
ISBN 10: 0387876820 ISBN 13: 9780387876825
New Paperback Quantity Available: 1
Seller:
Revaluation Books
(Exeter, United Kingdom)
Rating
[?]

Book Description Springer Verlag, 2009. Paperback. Book Condition: Brand New. 1st edition. 164 pages. 9.00x6.00x0.50 inches. In Stock. Bookseller Inventory # __0387876820

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 46.40
Convert Currency

Add to Basket

Shipping: US$ 7.95
From United Kingdom to U.S.A.
Destination, Rates & Speeds

9.

Xin, Jack
Published by Springer (2016)
ISBN 10: 0387876820 ISBN 13: 9780387876825
New Paperback Quantity Available: 1
Print on Demand
Seller:
Ria Christie Collections
(Uxbridge, United Kingdom)
Rating
[?]

Book Description Springer, 2016. Paperback. Book Condition: New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. Bookseller Inventory # ria9780387876825_lsuk

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 49.35
Convert Currency

Add to Basket

Shipping: US$ 5.13
From United Kingdom to U.S.A.
Destination, Rates & Speeds

10.

Xin, Jack
Published by Springer (2009)
ISBN 10: 0387876820 ISBN 13: 9780387876825
New Paperback Quantity Available: 2
Print on Demand
Seller:
Ergodebooks
(RICHMOND, TX, U.S.A.)
Rating
[?]

Book Description Springer, 2009. Paperback. Book Condition: New. This item is printed on demand. Bookseller Inventory # BKTY9780387876825

More Information About This Seller | Ask Bookseller a Question

Buy New
US$ 51.59
Convert Currency

Add to Basket

Shipping: US$ 3.99
Within U.S.A.
Destination, Rates & Speeds

There are more copies of this book

View all search results for this book