-
- Australia
- Canada
- UK
- USA
- Afghanistan
- Albania
- Algeria
- American Samoa
- Andorra
- Angola
- Anguilla
- Antarctica
- Antigua and Barbuda
- Argentina
- Armenia
- Aruba
- Australia
- Austria
- Azerbaijan
- Bahamas
- Bahrain
- Bangladesh
- Barbados
- Belarus
- Belgium
- Belize
- Benin
- Bermuda
- Bhutan
- Bolivia
- Bosnia and Herzegovina
- Botswana
- Brazil
- British Indian Ocean Territory
- Brunei Darussalam
- Bulgaria
- Burkina Faso
- Burundi
- Cambodia
- Cameroon
- Canada
- Cape Verde
- Cayman
- Central African R
- Chad
- Chile
- China
- Cocos (Keeling)
- Colombia
- Comoros
- Congo, The DR
- Congo, Rep of
- Cook Is
- Costa Rica
- Cote d'Ivoire
- Croatia/Hrvatska
- Cuba
- Cyprus
- Czech Repu
- Denmark
- Djibouti
- Dominica
- Dominican R
- Timor-Leste
- Ecuador
- Egypt
- El Salvador
- Equatorial Guinea
- Eritrea
- Estonia
- Ethiopia
- Falklands (Malvinas)
- Fiji
- Finland
- France
- French Guiana
- French Polynesia
- French Southern Territories
- Gabon
- Gambia
- Georgia
- Germany
- Ghana
- Gibraltar
- Greece
- Greenland
- Grenada
- Guadeloupe
- Guam
- Guatemala
- Guernsey
- Guinea
- Guinea-Bissau
- Guyana
- Haiti
- Heard and McDonald Is
- Holy See (Vatican City State)
- Honduras
- Hong Kong
- Hungary
- Iceland
- India
- Indonesia
- Iran
- Iraq
- Ireland
- Isle of Man
- Israel
- Italy
- Jamaica
- Japan
- Jersey
- Jordan
- Kazakhstan
- Kenya
- Kiribati
- Korea, DPR
- Korea, Repub of
- Kuwait
- Kyrgyzstan
- Lao
- Latvia
- Lebanon
- Lesotho
- Liberia
- Libyan Arab Jamahiriya
- Liechtenstein
- Lithuania
- Luxembourg
- Montenegro
- Macau
- Macedonia
- Madagascar
- Malawi
- Malaysia
- Maldives
- Mali
- Malta
- Marshall Is
- Martinique
- Mauritania
- Mauritius
- Mayotte
- Mexico
- Micronesia, Federal State of
- Moldova
- Monaco
- Mongolia
- Montserrat
- Morocco
- Mozambique
- Myanmar
- Namibia
- Nauru
- Nepal
- Netherlands
- Netherlands Antilles
- New Caledonia
- New Zealand
- Nicaragua
- Niger
- Nigeria
- Niue
- Norway
- Oman
- Pakistan
- Palau
- Palestinian Territories
- Panama
- Papua New Guinea
- Paraguay
- Peru
- Philippines
- Pitcairn
- Poland
- Portugal
- Puerto Rico
- Qatar
- Reunion
- Romania
- Russian Federation
- Rwanda
- Serbia
- St Kitts and Nevis
- Snt Lucia
- Sa Vincent and the Grenadines
- San Marino
- Sao Tome and Principe
- Saudi Arabia
- Senegal
- Seychelles
- Sierra Leone
- Singapore
- Slovak R
- Slovenia
- Solomons
- Somalia
- South Africa
- South Georgia and the South Sandwich
- Spain
- Sri Lanka
- S Helena
- S Pierre and Miquelon
- Sudan
- Suriname
- Svalbard and Jan Mayen
- Swaziland
- Sweden
- Switzerland
- Syria
- Taiwan
- Tajikistan
- Tanzania
- Thailand
- Togo
- Tokelau
- Tonga
- Trinidad and Tobago
- Tunisia
- Turkey
- Turkmenistan
- Turks and Caicos
- Tuvalu
- Uganda
- Ukraine
- Unitd Arab Emirates
- UK
- USA
- Uruguay
- Uzbekistan
- Vanuatu
- Venezuela
- Vietnam
- Virgin Is, British
- Virgin Is, U.S.
- Wallis and Futuna
- Western Sahara
- Western Samoa
- Yemen
- Yugoslavia
- Zambia
- Zimbabwe
- Gift certificates
- Academic eBooks
- My account
- Help
- Wishlist
- Feedback
- Sign up
The Leading eBooks Store Online
for Kindle Fire, Apple, Android, Nook, Kobo, PC, Mac, Sony Reader...
Stochastic Equations through the Eye of the Physicist
Basic Concepts, Exact Results and Asymptotic Approximations
US$ 340.00
(+ tax)
Preview (read now)
Add to my own site
Give this ebook to a friend
Add to my wishlist
Author's page
Publisher's page
Devices
- iPad
- PC
- e-readers with Adobe Digital Editions installed
- Mac
See the full list
Available Devices
X
This book is available for the following devices:
- iPad
- Windows
- Mac
- Sony Reader
- Cool-er Reader
- Nook
- Kobo Reader
- iRiver Story
File Formats
Download: secure PDF.
You can also read this book online in eb20 format without having to download anything.
You can also read this book online in eb20 format without having to download anything.
Permissions
Printing
Copy/Paste
Read Aloud
Printing
Copy/Paste
Read Aloud
more
Fluctuating parameters appear in a variety of physical systems and phenomena. They typically come either as random forces/sources, or advecting velocities, or media (material) parameters, like refraction index, conductivity, diffusivity, etc. The well known example of Brownian particle suspended in fluid and subjected to random molecular bombardment laid the foundation for modern stochastic calculus and statistical physics. Other important examples include turbulent transport and diffusion of particle-tracers (pollutants), or continuous densities (''oil slicks''), wave propagation and scattering in randomly inhomogeneous media, for instance light or sound propagating in the turbulent atmosphere.Such models naturally render to statistical description, where the input parameters and solutions are expressed by random processes and fields.
The fundamental problem of stochastic dynamics is to identify the essential characteristics of system (its state and evolution), and relate those to the input parameters of the system and initial data.
This raises a host of challenging mathematical issues. One could rarely solve such systems exactly (or approximately) in a closed analytic form, and their solutions depend in a complicated implicit manner on the initial-boundary data, forcing and system's (media) parameters . In mathematical terms such solution becomes a complicated "nonlinear functional" of random fields and processes.
Part I gives mathematical formulation for the basic physical models of transport, diffusion, propagation and develops some analytic tools.
Part II and III sets up and applies the techniques of variational calculus and stochastic analysis, like Fokker-Plank equation to those models, to produce exact or approximate solutions, or in worst case numeric procedures. The exposition is motivated and demonstrated with numerous examples.
Part IV takes up issues for the coherent phenomena in stochastic dynamical systems, described by ordinary and partial differential equations, like wave propagation in randomly layered media (localization), turbulent advection of passive tracers (clustering), wave propagation in disordered 2D and 3D media.
For the sake of reader I provide several appendixes (Part V) that give many technical mathematical details needed in the book.
For scientists dealing with stochastic dynamic systems in different areas, such as hydrodynamics, acoustics, radio wave physics, theoretical and mathematical physics, and applied mathematics
the theory of stochastic in terms of the functional analysis
Referencing those papers, which are used or discussed in this book and also recent review papers with extensive bibliography on the subject. less
Elsevier Science; May 2005
557 pages; ISBN 9780080457642
Read online, or download in secure PDF format
557 pages; ISBN 9780080457642
Read online, or download in secure PDF format
