On weak solutions to the 2D Savage-Hutter model of the motion of a gravity driven avalanche flow

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F16%3A00459881" target="_blank" >RIV/67985840:_____/16:00459881 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1080/03605302.2015.1127968" target="_blank" >http://dx.doi.org/10.1080/03605302.2015.1127968</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1080/03605302.2015.1127968" target="_blank" >10.1080/03605302.2015.1127968</a>

Result language
angličtina
Original language name
On weak solutions to the 2D Savage-Hutter model of the motion of a gravity driven avalanche flow
Original language description
We consider the Savage–Hutter system consisting of two-dimensional depth-integrated shallow water equations for the incompressible fluid with the Coulomb-type friction term. Using the method of convex integration we show that the associated initial value problem possesses infinitely many weak solutions for any finite energy initial data. On the other hand, the problem enjoys the weak-strong uniqueness property provided the system of equations is supplemented with the energy inequality.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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