Jiaqi Yang

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math.AP2026

Pure-swirl loss of boundedness under $L_{t}^{1} L_{x}^{2}$ forcing: exact mixed-norm ranges

Hugo Beirão da Veiga, Jiaqi Yang

We construct an explicit pure-swirl solution of the forced three-dimensional Navier--Stokes equations in a circular cylinder. For every $T > 0$ and $1 \leq p, q < \infty$ with $1/ p + 1/ q > 1$ …

math.AP2024

A note on the development of singularities on solutions to the Navier-Stokes equations under super critical forcing terms

Hugo BeirÃ£o da Veiga, Jiaqi Yang

Recently Qi S. Zhang provides examples of solutions to the Navier-Stokes equations which, under suitable hypothesis, blow up in finite time. He considers axially symmetric solution…

Pure-swirl loss of boundedness under Lt1​Lx2​ forcing: exact mixed-norm ranges

A note on the development of singularities on solutions to the Navier-Stokes equations under super critical forcing terms

Pure-swirl loss of boundedness under $L_{t}^{1} L_{x}^{2}$ forcing: exact mixed-norm ranges