Forced Navier-Stokes solutions in the energy space can blow up in finite time under critical-order forces, including an explicit small force in L∞_t L^{3/2}_x.
Colombo, Non-uniqueness of Leray solutions of the forced Navier- Stokes equations
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A blow up solution of the Navier-Stokes equations with a critical force
Forced Navier-Stokes solutions in the energy space can blow up in finite time under critical-order forces, including an explicit small force in L∞_t L^{3/2}_x.