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Inviscid incompressible limits of strongly stratified fluids

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F14%3A00432120" target="_blank" >RIV/67985840:_____/14:00432120 - isvavai.cz</a>

  • Result on the web

    <a href="http://dx.doi.org/10.3233/ASY-141231" target="_blank" >http://dx.doi.org/10.3233/ASY-141231</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.3233/ASY-141231" target="_blank" >10.3233/ASY-141231</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Inviscid incompressible limits of strongly stratified fluids

  • Original language description

    We consider the motion of a compressible viscous fluid in the asymptotic regime of low Mach and high Reynolds numbers under strong stratification imposed by a conservative external force. Assuming a bi-dimensional character of the flow, we identify the limit system represented by the so-called lake equation ? the Euler system supplemented by an anelastic type constraint imposed by the limit density profile. The key ingredient of the proof are new ?frequency localized estimates of Strichartz type.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

    <a href="/en/project/GA201%2F09%2F0917" target="_blank" >GA201/09/0917: Mathematical and computer analysis of the evolution processes in nonlinear viscoelastic fluid-like materials</a><br>

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2014

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Asymptotic Analysis

  • ISSN

    0921-7134

  • e-ISSN

  • Volume of the periodical

    89

  • Issue of the periodical within the volume

    3-4

  • Country of publishing house

    NL - THE KINGDOM OF THE NETHERLANDS

  • Number of pages

    23

  • Pages from-to

    307-329

  • UT code for WoS article

    000343007800004

  • EID of the result in the Scopus database