NON-UNIQUENESS AND PRESCRIBED ENERGY FOR THE CONTINUITY EQUATION

作者：Crippa Gianluca^*; Gusev Nikolay; Spirito Stefano; Wiedemann Emil

来源：Communications in Mathematical Sciences, 2015, 13(7): 1937-1947.

DOI：10.4310/cms.2015.v13.n7.a12

• Transport and continuity equations
• non-uniqueness
• non-conservation of energy
• renormalization
• convex integration

In this note, we provide new non-uniqueness examples for the continuity equation by constructing infinitely many weak solutions with prescribed energy.

• 出版日期2015