We consider an abstract functional-differential equation derived from the pressure-less Euler system with variable coefficients that includes several systems of partial differential equations arising in the fluid mechanics. Using the method of convex integration we show the existence of infinitely many weak solutions for prescribed initial data and kinetic energy.
Convex integration for the Monge-Ampère equation in two dimensions
On the existence of weak solutions for steady flows of generalized viscous fluids
Convex integration with linear constraints and its applications
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