Siran Li

collaborators

6 papers

math.AP2026

Existence of Weak Solutions to a Power-Law Model for Compressible Non-Newtonian Fluids on 1D Unbounded Domain

Siran Li, Jianing Yang, Yuantu Zhu

This paper is concerned with the analysis of a one-dimensional power-law model for compressible fluid dynamics on $R$ , in which the shear stress takes the form $Î¼|\partia…

math.AP2026

Boundary epsilon regularity for incompressible Navier--Stokes equations via weak-strong uniqueness

Siran Li

We show that finite-energy weak solutions to the incompressible Navier--Stokes equations on a three-dimensional bounded smooth domain are regular up to the boundary, provided that…

math.AP2026

Inviscid Limit for Yudovich solution to heat conductive Boussinesq equation on two-dimensional periodic domain

Siran Li

We establish the inviscid limit of the Yudovich solution to the heat conductive Boussinesq equation with initial velocity and temperature/buoyancy in $L^{2}$ and initial vorticity in…

math.AP2026

Global well-posedness for one-dimensional compressible Navier--Stokes system in dynamic combustion with small $B V \cap L^{1}$ initial data

Siran Li, Haitao Wang, Jianing Yang

We establish the global well-posedness theory of small BV weak solutions to a one-dimensional compressible Navier--Stokes model for reacting gas mixtures in dynamic combustion. The…

math.AP2026

A note for double HÃ¶lder regularity of the hydrodynamic pressure for weak solutions of Euler equations

Siran Li, Ya-Guang Wang

We give an elementary proof for the interior double HÃ¶lder regularity of the hydrodynamic pressure for weak solutions of the Euler Equations in a bounded $C^{2}$ -domain $Î©\subset \…

math.AP2025

On global existence and large-time behaviour of weak solutions to the compressible barotropic Navier--Stokes Equations on $T^{2}$ with density-dependent bulk viscosity: beyond the Va\uıgant--Kazhikhov regime

Siran Li, Jianing Yang

We are concerned with the compressible barotropic Navier--Stokes equations for a $γ$ -law gas with density-dependent bulk viscosity coefficient $λ = λ (ρ) = ρ^{β}$ on the two-dimensional p…

Existence of Weak Solutions to a Power-Law Model for Compressible Non-Newtonian Fluids on 1D Unbounded Domain

Boundary epsilon regularity for incompressible Navier--Stokes equations via weak-strong uniqueness

Inviscid Limit for Yudovich solution to heat conductive Boussinesq equation on two-dimensional periodic domain

Global well-posedness for one-dimensional compressible Navier--Stokes system in dynamic combustion with small BV∩L1 initial data

A note for double HÃ¶lder regularity of the hydrodynamic pressure for weak solutions of Euler equations

On global existence and large-time behaviour of weak solutions to the compressible barotropic Navier--Stokes Equations on T2 with density-dependent bulk viscosity: beyond the Va\uıgant--Kazhikhov regime

Global well-posedness for one-dimensional compressible Navier--Stokes system in dynamic combustion with small $B V \cap L^{1}$ initial data

On global existence and large-time behaviour of weak solutions to the compressible barotropic Navier--Stokes Equations on $T^{2}$ with density-dependent bulk viscosity: beyond the Va\uıgant--Kazhikhov regime