Liang Wang

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math.FA2025

Navier-Stokes Equations on Quantum Euclidean Spaces

Deyu Chen, Guixiang Hong, Liang Wang +1

We investigate in the present paper the Navier-Stokes equations on quantum Euclidean spaces $R_{I^}^{d} ¸$ with $I^¸$ being a $d \times d$ antisymmetric matrix, which is a standar…

math.FA2025

Noncommutative Bourgain's circular maximal theorem and a local smoothing estimate on the generalized Moyal planes

Guixiang Hong, Xudong Lai, Liang Wang

In this paper, we establish a local smoothing estimate on two-dimensional quantum Euclidean space. This is the noncommutative analogue of the one due to Mockenhaupt $-$ Seeger $-$ Sogg…