Jin Tan

collaborators

3 papers

math.AP2026

Weak solutions of Moffatt's magnetic relaxation equations

Jin Tan

We investigate the global-in-time existence and uniqueness of weak solutions for a family of equations introduced by Moffatt to model magnetic relaxation. These equations are topol…

math.AP2025

Quantitative unique continuation property for fourth-order Baouendi-Grushin type subelliptic operators with a potential

Yusheng Qiu, Jinggang Tan, Aliang Xia

We investigate the quantitative unique continuation property for solutions to $I^_{X}^{2} u = V u,$ where $I^_{X} = I^_{x} + ∣ x ∣^{2 I^^{2}} I^_{y}$ ( $0 < I^^{2} \leq 1$ ), with $x \in \mathbb…

math.AP2025

Regularity and dynamics of weak solutions for one-dimensional compressible Navier-Stokes equations with vacuum

Jin Tan, Yan-Lin Wang, Lan Zhang

In the spirit of D. Hoff's weak solution theory for the compressible Navier-Stokes equations (CNS) with bounded density, in this paper we establish the global existence and regular…