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math.AP2025
Remarks on the three-dimensional Navier-Stokes equations with Lions' exponent forced by space-time white noise
Kazuo Yamazaki
We study the three-dimensional Navier-Stokes equations forced by space-time white noise and diffused via the fractional Laplacian with Lions' exponent so that it is precisely the e…
math.DG2025
On Ricci Solitons with Isoparametric Potential Functions
Hung Tran, Kazuo Yamazaki
This paper studies a complete gradient Ricci soliton with an isoparametric potential function. Our first theorem asserts that, for the steady case, there is a critical level set of…
math.AP2025
Global unique solution to the perturbation of the Burgers' equation forced by derivatives of space-time white noise
Kazuo Yamazaki
We consider the one-dimensional Burgers' equation forced by fractional derivative of order applied on space-time white noise. Relying on the approaches of Anderson Ha…