Changxing Miao

activity

20242026

most citedOn Onsager's type conjecture for the inviscid Boussinesq equations

6 citations · 6 across the 9 of their papers we have counts for

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6 papers · 1 filter

math.AP2024

Non-uniqueness of weak solutions to the Navier-Stokes equations in R^3

Changxing Miao, Yao Nie, Weikui Ye

To our knowledge, the convex integration method has been widely applied to the study of non-uniqueness of solutions to the Naiver-Stokes equations in the periodic region, but there…

math.AP2024

Sharp non-uniqueness for the Navier-Stokes equations in R^3

Changxing Miao, Yao Nie, Weikui Ye

In this paper, we prove a sharp and strong non-uniqueness for a class of weak solutions to the incompressible Navier-Stokes equations in $R^{3}$ . To be more precise, we exhibit the…

math.NT2024

$L^{p}$ maximal estimates for Weyl sums with $k \geq 3$ on $T$

Xuezhi Chen, Changxing Miao, Jiye Yuan +1

In this paper, we study the $L^{p}$ maximal estimates for the Weyl sums $\sum_{n = 1}^{N} e^{2 π i (n x + n^{k} t)}$ with higher-order $k \geq 3$ on $T$ , and obtain the positive and ne…

math.AP2024★ 6 cited

On Onsager's type conjecture for the inviscid Boussinesq equations

Changxing Miao, Yao Nie, Weikui Ye

In this paper, we investigate the Cauchy problem for the three dimensional inviscid Boussinesq system in the periodic setting. For $1 \leq p \leq \infty$ , we show that the threshold re…

math.AP2024

Bochner-Riesz means for critical magnetic Schrödinger operators in $R^{2}$

Changxing Miao, Lixin Yan, Junyong Zhang

We study $L^{p}$ -boundedness of the Bochner-Riesz means for critical magnetic Schrödinger operators $\LL_{\A}$ in $R^{2}$ , which involve the {physical} Aharonov-Bohm potentia…

math.CA2024

Two-point polynomial patterns in subsets of positive density in $R^{n}$

Xuezhi Chen, Changxing Miao

Let $γ (t) = (P_{1} (t), \dots, P_{n} (t))$ where $P_{i}$ is a real polynomial with zero constant term for each $1 \leq i \leq n$ . We will show the existence of the configuration ${x, x + γ (t)}$ …

Non-uniqueness of weak solutions to the Navier-Stokes equations in R^3

Sharp non-uniqueness for the Navier-Stokes equations in R^3

Lp maximal estimates for Weyl sums with k≥3 on T

On Onsager's type conjecture for the inviscid Boussinesq equations

Bochner-Riesz means for critical magnetic Schrödinger operators in R2

Two-point polynomial patterns in subsets of positive density in Rn

$L^{p}$ maximal estimates for Weyl sums with $k \geq 3$ on $T$

Bochner-Riesz means for critical magnetic Schrödinger operators in $R^{2}$

Two-point polynomial patterns in subsets of positive density in $R^{n}$