Existence and Non-uniqueness of Global Weak Solutions to Inviscid Primitive and Boussinesq Equations

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 Sz,kelyhidi 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.


Published in:
Communications In Mathematical Physics, 353, 3, 1201-1216
Year:
2017
Publisher:
New York, Springer Verlag
ISSN:
0010-3616
Laboratories:




 Record created 2017-07-10, last modified 2018-03-13


Rate this document:

Rate this document:
1
2
3
 
(Not yet reviewed)