The Resource Distributions in the Physical and Engineering Sciences, Volume 2 : Linear and Nonlinear Dynamics in Continuous Media, by Alexander I. Saichev, Wojbor A. Woyczynski, (electronic resource)

Distributions in the Physical and Engineering Sciences, Volume 2 : Linear and Nonlinear Dynamics in Continuous Media, by Alexander I. Saichev, Wojbor A. Woyczynski, (electronic resource)

Label
Distributions in the Physical and Engineering Sciences, Volume 2 : Linear and Nonlinear Dynamics in Continuous Media
Title
Distributions in the Physical and Engineering Sciences, Volume 2
Title remainder
Linear and Nonlinear Dynamics in Continuous Media
Statement of responsibility
by Alexander I. Saichev, Wojbor A. Woyczynski
Title variation
Volume 2
Creator
Contributor
Author
Author
Subject
Language
  • eng
  • eng
Summary
Distributions in the Physical and Engineering Sciences is a comprehensive exposition on analytic methods for solving science and engineering problems. It is written from the unifying viewpoint of distribution theory and enriched with many modern topics that are important for practitioners and researchers. The goal of the books is to give the reader, specialist and non-specialist, useable and modern mathematical tools in their research and analysis. Volume 2: Linear and Nonlinear Dynamics of Continuous Media continues the multivolume project that endeavors to show how the theory of distributions, also called the theory of generalized functions, can be used by graduate students and researchers in applied mathematics, physical sciences, and engineering. It contains an analysis of the three basic types of linear partial differential equations—elliptic, parabolic, and hyperbolic—as well as chapters on first-order nonlinear partial differential equations and conservation laws, and generalized solutions of first-order nonlinear PDEs. Nonlinear wave, growing interface, and Burger’s equations, KdV equations, and the equations of gas dynamics and porous media are also covered. The careful explanations, accessible writing style, many illustrations/examples and solutions also make it suitable for use as a self-study reference by anyone seeking greater understanding and proficiency in the problem solving methods presented. The book is ideal for a general scientific and engineering audience, yet it is mathematically precise. Features · Application oriented exposition of distributional (Dirac delta) methods in the theory of partial differential equations. Abstract formalism is keep to a minimum. · Careful and rich selection of examples and problems arising in real-life situations. Complete solutions to all exercises appear at the end of the book. · Clear explanations, motivations, and illustration of all necessary mathematical concepts
Member of
http://library.link/vocab/creatorName
Saichev, Alexander I
Dewey number
515.782
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
  • gPqZLNJgSQk
  • YCscffnGwks
Language note
English
LC call number
QA1-939
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
Woyczynski, Wojbor A.
Series statement
Applied and Numerical Harmonic Analysis,
http://library.link/vocab/subjectName
  • Mathematics
  • Mathematics, general
Label
Distributions in the Physical and Engineering Sciences, Volume 2 : Linear and Nonlinear Dynamics in Continuous Media, by Alexander I. Saichev, Wojbor A. Woyczynski, (electronic resource)
Instantiates
Publication
Note
Description based upon print version of record
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
III POTENTIALS, DIFFUSIONS AND WAVES -- 9 Potential Theory and Fundamental Solutions of Elliptic Equations -- 10 Diffusions and Parabolic Evolution Equations -- 11 Waves and Hyperbolic Equations -- 12 First Order Nonlinear PDEs and Conservation Laws -- 13 Generalized Solutions of First Order Nonlinear PDEs -- 14 Nonlinear waves and growing interfaces: 1-D Burgers-KPZ models -- 15 Other Standard Nonlinear Models of Higher Order -- Appendix A: Answers and Solutions -- Appendix B: Bibliographical Notes
Dimensions
unknown
Edition
1st ed. 2013.
Extent
1 online resource (427 p.)
Form of item
online
Isbn
9780817646523
Media category
computer
Media type code
  • c
Other control number
10.1007/978-0-8176-4652-3
Specific material designation
remote
System control number
  • (CKB)3710000000018973
  • (EBL)1466274
  • (SSID)ssj0001010493
  • (PQKBManifestationID)11577421
  • (PQKBTitleCode)TC0001010493
  • (PQKBWorkID)11000430
  • (PQKB)11662747
  • (DE-He213)978-0-8176-4652-3
  • (EXLCZ)993710000000018973
Label
Distributions in the Physical and Engineering Sciences, Volume 2 : Linear and Nonlinear Dynamics in Continuous Media, by Alexander I. Saichev, Wojbor A. Woyczynski, (electronic resource)
Publication
Note
Description based upon print version of record
Carrier category
online resource
Carrier category code
  • cr
Content category
text
Content type code
  • txt
Contents
III POTENTIALS, DIFFUSIONS AND WAVES -- 9 Potential Theory and Fundamental Solutions of Elliptic Equations -- 10 Diffusions and Parabolic Evolution Equations -- 11 Waves and Hyperbolic Equations -- 12 First Order Nonlinear PDEs and Conservation Laws -- 13 Generalized Solutions of First Order Nonlinear PDEs -- 14 Nonlinear waves and growing interfaces: 1-D Burgers-KPZ models -- 15 Other Standard Nonlinear Models of Higher Order -- Appendix A: Answers and Solutions -- Appendix B: Bibliographical Notes
Dimensions
unknown
Edition
1st ed. 2013.
Extent
1 online resource (427 p.)
Form of item
online
Isbn
9780817646523
Media category
computer
Media type code
  • c
Other control number
10.1007/978-0-8176-4652-3
Specific material designation
remote
System control number
  • (CKB)3710000000018973
  • (EBL)1466274
  • (SSID)ssj0001010493
  • (PQKBManifestationID)11577421
  • (PQKBTitleCode)TC0001010493
  • (PQKBWorkID)11000430
  • (PQKB)11662747
  • (DE-He213)978-0-8176-4652-3
  • (EXLCZ)993710000000018973

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