skip to content
On the theory of weak turbulence for the nonlinear Schrödinger equation Preview this item
ClosePreview this item
Checking...

On the theory of weak turbulence for the nonlinear Schrödinger equation

Author: Miguel Escobedo; J J L Velázquez; American Mathematical Society,
Publisher: Providence, Rhode Island : American Mathematical Society, 2015. ©2015
Series: Memoirs of the American Mathematical Society, no. 1124.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
We study the Cauchy problem for a kinetic equation arising in the weak turbulence theory for the cubic nonlinear Schrödinger equation. We define suitable concepts of weak and mild solutions and prove local and global well posedness results. Several qualitative properties of the solutions, including long time asymptotics, blow up results and condensation in finite time are obtained. We also prove the existence of a  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:
Escobedo, Miguel, 1957-
On the theory of weak turbulence for the nonlinear Schrödinger equation.
Providence, Rhode Island : American Mathematical Society, [2015]
(DLC) 2015026567
(OCoLC)915323951
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Miguel Escobedo; J J L Velázquez; American Mathematical Society,
ISBN: 9781470426118 1470426110 1470414341 9781470414344
OCLC Number: 920024640
Notes: "Volume 238, number 1124 (second of 6 numbers), November 2015"
Description: 1 online resource (v, 107 pages) : illustrations.
Contents: Introduction --
Well-posedness results --
Qualitative behaviors of the solutions --
Solutions without condensation: pulsating behavior --
Heuristic arguments and open problems --
Auxiliary results --
Bibliography --
Index.
Series Title: Memoirs of the American Mathematical Society, no. 1124.
Responsibility: M. Escobedo, J. J. L. Velázquez.

Abstract:

We study the Cauchy problem for a kinetic equation arising in the weak turbulence theory for the cubic nonlinear Schrödinger equation. We define suitable concepts of weak and mild solutions and prove local and global well posedness results. Several qualitative properties of the solutions, including long time asymptotics, blow up results and condensation in finite time are obtained. We also prove the existence of a family of solutions that exhibit pulsating behavior.

Reviews

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

Tags

Be the first.
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/920024640> # On the theory of weak turbulence for the nonlinear Schrödinger equation
    a schema:MediaObject, schema:CreativeWork, schema:Book ;
   library:oclcnum "920024640" ;
   library:placeOfPublication <http://id.loc.gov/vocabulary/countries/riu> ;
   schema:about <http://experiment.worldcat.org/entity/work/data/2614915512#Topic/wave_mechanics> ; # Wave mechanics
   schema:about <http://experiment.worldcat.org/entity/work/data/2614915512#Topic/science_physics_general> ; # SCIENCE / Physics / General
   schema:about <http://experiment.worldcat.org/entity/work/data/2614915512#Topic/science_mechanics_general> ; # SCIENCE / Mechanics / General
   schema:about <http://experiment.worldcat.org/entity/work/data/2614915512#Topic/turbulence> ; # Turbulence
   schema:about <http://experiment.worldcat.org/entity/work/data/2614915512#Topic/science_energy> ; # SCIENCE / Energy
   schema:about <http://experiment.worldcat.org/entity/work/data/2614915512#Topic/schrodinger_equation> ; # Schrödinger equation
   schema:about <http://experiment.worldcat.org/entity/work/data/2614915512#Topic/nonlinear_systems> ; # Nonlinear systems
   schema:about <http://dewey.info/class/530.124/e23/> ;
   schema:author <http://experiment.worldcat.org/entity/work/data/2614915512#Person/escobedo_miguel_1957> ; # Miguel Escobedo
   schema:author <http://experiment.worldcat.org/entity/work/data/2614915512#Person/velazquez_j_j_l_juan_j_l> ; # Juan J. L. Velázquez
   schema:bookFormat schema:EBook ;
   schema:copyrightYear "2015" ;
   schema:datePublished "2015" ;
   schema:description "Introduction -- Well-posedness results -- Qualitative behaviors of the solutions -- Solutions without condensation: pulsating behavior -- Heuristic arguments and open problems -- Auxiliary results -- Bibliography -- Index."@en ;
   schema:description "We study the Cauchy problem for a kinetic equation arising in the weak turbulence theory for the cubic nonlinear Schrödinger equation. We define suitable concepts of weak and mild solutions and prove local and global well posedness results. Several qualitative properties of the solutions, including long time asymptotics, blow up results and condensation in finite time are obtained. We also prove the existence of a family of solutions that exhibit pulsating behavior."@en ;
   schema:exampleOfWork <http://worldcat.org/entity/work/id/2614915512> ;
   schema:genre "Electronic books"@en ;
   schema:inLanguage "en" ;
   schema:isPartOf <http://experiment.worldcat.org/entity/work/data/2614915512#Series/memoirs_of_the_american_mathematical_society> ; # Memoirs of the American Mathematical Society ;
   schema:isSimilarTo <http://www.worldcat.org/oclc/915323951> ;
   schema:name "On the theory of weak turbulence for the nonlinear Schrödinger equation"@en ;
   schema:productID "920024640" ;
   schema:publisher <http://experiment.worldcat.org/entity/work/data/2614915512#Organization/american_mathematical_society> ; # American Mathematical Society,
   schema:url <http://dx.doi.org/10.1090/memo/1124> ;
   schema:url <http://public.eblib.com/choice/PublicFullRecord.aspx?p=4832034> ;
   schema:url <http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=1347470> ;
   schema:workExample <http://worldcat.org/isbn/9781470414344> ;
   schema:workExample <http://worldcat.org/isbn/9781470426118> ;
   wdrs:describedby <http://www.worldcat.org/title/-/oclc/920024640> ;
    .


Related Entities

<http://experiment.worldcat.org/entity/work/data/2614915512#Organization/american_mathematical_society> # American Mathematical Society,
    a schema:Organization ;
   schema:name "American Mathematical Society," ;
    .

<http://experiment.worldcat.org/entity/work/data/2614915512#Person/escobedo_miguel_1957> # Miguel Escobedo
    a schema:Person ;
   schema:birthDate "1957" ;
   schema:familyName "Escobedo" ;
   schema:givenName "Miguel" ;
   schema:name "Miguel Escobedo" ;
    .

<http://experiment.worldcat.org/entity/work/data/2614915512#Person/velazquez_j_j_l_juan_j_l> # Juan J. L. Velázquez
    a schema:Person ;
   schema:familyName "Velázquez" ;
   schema:givenName "Juan J. L." ;
   schema:givenName "J. J. L." ;
   schema:name "Juan J. L. Velázquez" ;
    .

<http://experiment.worldcat.org/entity/work/data/2614915512#Series/memoirs_of_the_american_mathematical_society> # Memoirs of the American Mathematical Society ;
    a bgn:PublicationSeries ;
   schema:hasPart <http://www.worldcat.org/oclc/920024640> ; # On the theory of weak turbulence for the nonlinear Schrödinger equation
   schema:name "Memoirs of the American Mathematical Society ;" ;
    .

<http://experiment.worldcat.org/entity/work/data/2614915512#Topic/schrodinger_equation> # Schrödinger equation
    a schema:Intangible ;
   schema:name "Schrödinger equation"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/2614915512#Topic/science_mechanics_general> # SCIENCE / Mechanics / General
    a schema:Intangible ;
   schema:name "SCIENCE / Mechanics / General"@en ;
    .

<http://experiment.worldcat.org/entity/work/data/2614915512#Topic/science_physics_general> # SCIENCE / Physics / General
    a schema:Intangible ;
   schema:name "SCIENCE / Physics / General"@en ;
    .

<http://worldcat.org/isbn/9781470414344>
    a schema:ProductModel ;
   schema:isbn "1470414341" ;
   schema:isbn "9781470414344" ;
    .

<http://worldcat.org/isbn/9781470426118>
    a schema:ProductModel ;
   schema:isbn "1470426110" ;
   schema:isbn "9781470426118" ;
    .

<http://www.worldcat.org/oclc/915323951>
    a schema:CreativeWork ;
   rdfs:label "On the theory of weak turbulence for the nonlinear Schrödinger equation." ;
   schema:description "Print version:" ;
   schema:isSimilarTo <http://www.worldcat.org/oclc/920024640> ; # On the theory of weak turbulence for the nonlinear Schrödinger equation
    .


Content-negotiable representations

Close Window

Please sign in to WorldCat 

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