The forced 3D Navier-Stokes equations admit a pure-swirl solution with force in L^1_t L^2_x whose L infinity norm tends to infinity at the final time, and the exact mixed-norm ranges are determined.
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Pure-swirl loss of boundedness under $L^1_tL^2_x$ forcing: exact mixed-norm ranges
The forced 3D Navier-Stokes equations admit a pure-swirl solution with force in L^1_t L^2_x whose L infinity norm tends to infinity at the final time, and the exact mixed-norm ranges are determined.