skip to content
Explosive Instabilities in Mechanics Preview this item
ClosePreview this item
Checking...

Explosive Instabilities in Mechanics

Author: B Straughan
Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 1998.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
This book deals with blow-up, or at least very rapid growth, of a solution to a system of partial differential equations that arise in practical physics situations. It begins with a relatively simple account of blow-up in systems of interaction-diffusion equations. Then the book concentrates on mechanics applications. In particular it deals with the Euler equations, Navier--Stokes equations, models for glacier  Read more...
Rating:

(not yet rated) 0 with reviews - Be the first.

Subjects
More like this

 

Find a copy online

Links to this item

Find a copy in the library

&AllPage.SpinnerRetrieving; Finding libraries that hold this item...

Details

Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: B Straughan
ISBN: 9783642588075 3642588077
OCLC Number: 851794061
Description: 1 online resource (ix, 196 pages)
Contents: Introduction --
Analysis of a First-Order System --
Singularities for Classical Fluid Equations --
Catastrophic Behaviour in Other Nonlinear Fluid Theories --
Blow-Up in Volterra Equations --
Chemotaxis --
Change of Type --
Rapid Energy Growth in Parallel Flows --
Bibliography --
Index.
Responsibility: by Brian Straughan.

Abstract:

This book deals with explosive instabilities in mechanics, deriving a solution to a system of PDEs that arise in practical situations. Among the topics presented are: classical fluid equations,  Read more...

Reviews

Editorial reviews

Publisher Synopsis

From the reviews "... this book contains a clear account of exciting works in various parts of science, concentrating on blow-up solutions of systems of partial differential equations." (J. Cugnon Read more...

 
User-contributed reviews
Retrieving GoodReads reviews...
Retrieving DOGObooks reviews...

Tags

Be the first.

Similar Items

Related Subjects:(3)

Confirm this request

You may have already requested this item. Please select Ok if you would like to proceed with this request anyway.

Linked Data


Primary Entity

<http://www.worldcat.org/oclc/851794061> # Explosive Instabilities in Mechanics
    a schema:MediaObject, schema:CreativeWork, schema:Book ;
   library:oclcnum "851794061" ;
   library:placeOfPublication <http://id.loc.gov/vocabulary/countries/gw> ;
   library:placeOfPublication <http://experiment.worldcat.org/entity/work/data/629394#Place/berlin_heidelberg> ; # Berlin, Heidelberg
   schema:about <http://id.worldcat.org/fast/1013446> ; # Mechanics
   schema:about <http://dewey.info/class/531/e23/> ;
   schema:about <http://id.worldcat.org/fast/1063025> ; # Physics
   schema:about <http://id.worldcat.org/fast/1013489> ; # Mechanics, Applied
   schema:bookFormat schema:EBook ;
   schema:creator <http://viaf.org/viaf/94770100> ; # Brian Straughan
   schema:datePublished "1998" ;
   schema:description "This book deals with blow-up, or at least very rapid growth, of a solution to a system of partial differential equations that arise in practical physics situations. It begins with a relatively simple account of blow-up in systems of interaction-diffusion equations. Then the book concentrates on mechanics applications. In particular it deals with the Euler equations, Navier--Stokes equations, models for glacier physics, Korteweg--de-Vries equations, and ferro-hydrodynamics. Blow-up is treated in Volterra equations, too, stressing how these equations arise in mechanics, e.g. in combustion theory. The novel topic of chemotaxis in mathematical biology is also presented. There is a chapter on change of type, from hyperbolic to elliptic, addressing three new and important applications: instability in soils, instability in sea ice dynamics, and also instability in pressure-dependent viscosity flow. Finally, the book includes an exposition of exciting work, very recent and on-going, dealing with rapid energy growth in parallel shear flows. The book addresses graduate students as well as researchers in mechanics and applied mathematics."@en ;
   schema:description "Introduction -- Analysis of a First-Order System -- Singularities for Classical Fluid Equations -- Catastrophic Behaviour in Other Nonlinear Fluid Theories -- Blow-Up in Volterra Equations -- Chemotaxis -- Change of Type -- Rapid Energy Growth in Parallel Flows -- Bibliography -- Index."@en ;
   schema:exampleOfWork <http://worldcat.org/entity/work/id/629394> ;
   schema:genre "Electronic books"@en ;
   schema:inLanguage "en" ;
   schema:isSimilarTo <http://worldcat.org/entity/work/data/629394#CreativeWork/> ;
   schema:name "Explosive Instabilities in Mechanics"@en ;
   schema:productID "851794061" ;
   schema:publication <http://www.worldcat.org/title/-/oclc/851794061#PublicationEvent/berlin_heidelberg_springer_berlin_heidelberg_1998> ;
   schema:publisher <http://experiment.worldcat.org/entity/work/data/629394#Agent/springer_berlin_heidelberg> ; # Springer Berlin Heidelberg
   schema:url <http://public.eblib.com/choice/publicfullrecord.aspx?p=3094579> ;
   schema:url <https://link.springer.com/openurl?genre=book&isbn=978-3-540-63589-5> ;
   schema:url <http://link.springer.com/10.1007/978-3-642-58807-5> ;
   schema:url <http://dx.doi.org/10.1007/978-3-642-58807-5> ;
   schema:workExample <http://worldcat.org/isbn/9783642588075> ;
   schema:workExample <http://dx.doi.org/10.1007/978-3-642-58807-5> ;
   wdrs:describedby <http://www.worldcat.org/title/-/oclc/851794061> ;
    .


Related Entities

<http://experiment.worldcat.org/entity/work/data/629394#Agent/springer_berlin_heidelberg> # Springer Berlin Heidelberg
    a bgn:Agent ;
   schema:name "Springer Berlin Heidelberg" ;
    .

<http://experiment.worldcat.org/entity/work/data/629394#Place/berlin_heidelberg> # Berlin, Heidelberg
    a schema:Place ;
   schema:name "Berlin, Heidelberg" ;
    .

<http://id.worldcat.org/fast/1013446> # Mechanics
    a schema:Intangible ;
   schema:name "Mechanics"@en ;
    .

<http://id.worldcat.org/fast/1013489> # Mechanics, Applied
    a schema:Intangible ;
   schema:name "Mechanics, Applied"@en ;
    .

<http://id.worldcat.org/fast/1063025> # Physics
    a schema:Intangible ;
   schema:name "Physics"@en ;
    .

<http://link.springer.com/10.1007/978-3-642-58807-5>
   rdfs:comment "from Springer" ;
   rdfs:comment "(Unlimited Concurrent Users)" ;
    .

<http://viaf.org/viaf/94770100> # Brian Straughan
    a schema:Person ;
   schema:familyName "Straughan" ;
   schema:givenName "Brian" ;
   schema:givenName "B." ;
   schema:name "Brian Straughan" ;
    .

<http://worldcat.org/isbn/9783642588075>
    a schema:ProductModel ;
   schema:isbn "3642588077" ;
   schema:isbn "9783642588075" ;
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

Don't have an account? You can easily create a free account.