Existence and non-uniqueness of global weak solutions to inviscid primitive and Boussinesq equations

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F17%3A00474807" target="_blank" >RIV/67985840:_____/17:00474807 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s00220-017-2846-5" target="_blank" >http://dx.doi.org/10.1007/s00220-017-2846-5</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00220-017-2846-5" target="_blank" >10.1007/s00220-017-2846-5</a>

Result language
angličtina
Original language name
Existence and non-uniqueness of global weak solutions to inviscid primitive and Boussinesq equations
Original language description
We consider the initial value problem for the inviscid Primitive and Boussinesq equations in three spatial dimensions. We recast both systems as an abstract Euler-type system and apply the methods of convex integration of De Lellis and Székelyhidi to show the existence of infinitely many global weak solutions of the studied equations for general initial data. We also introduce an appropriate notion of dissipative solutions and show the existence of suitable initial data which generate infinitely many dissipative solutions.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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