Measure-valued solutions to the complete Euler system

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F18%3A00495259" target="_blank" >RIV/67985840:_____/18:00495259 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.2969/jmsj/77337733" target="_blank" >http://dx.doi.org/10.2969/jmsj/77337733</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.2969/jmsj/77337733" target="_blank" >10.2969/jmsj/77337733</a>

Result language
angličtina
Original language name
Measure-valued solutions to the complete Euler system
Original language description
We introduce the concept of dissipative measure-valued solution to the complete Euler system describing the motion of an inviscid compressible fluid. These solutions are characterized by a parameterized (Young) measure and a dissipation defect in the total energy balance. The dissipation defect dominates the concentration errors in the equations satisfied by the Young measure. A dissipative measure-valued solution can be seen as the most general concept of solution to the Euler system retaining its structural stability. In particular, we show that a dissipative measure-valued solution necessarily coincides with a classical one on its life span provided they share the same initial data.
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
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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