Siran Li

activity

20162023

most citedOn one-dimensional compressible Navier-Stokes equations for a reacting mixture in unbounded domains

28 citations · 97 across the 35 of their papers we have counts for

collaborators

Showing 2018Show all

9 papers · 1 filter

math.AP2018★ 4 cited

The Inviscid Limit of the Navier-Stokes Equations with Kinematic and Navier Boundary Conditions

Gui-Qiang G. Chen, Siran Li, Zhongmin Qian

We are concerned with the inviscid limit of the Navier-Stokes equations on bounded regular domains in $R^{3}$ with the kinematic and Navier boundary conditions. We first est…

math.AP2018★ 1 cited

From the Nash--Kuiper Theorem of Isometric Embeddings to the Euler Equations for Steady Fluid Motions: Analogues, Examples, and Extensions

Siran Li, Marshall Slemrod

Direct linkages between regular or irregular isometric embeddings of surfaces and steady compressible or incompressible fluid dynamics are investigated in this paper. For a surface…

math.CA2018

A Note on Generic Transversality of Euclidean Submanifolds

Siran Li

In this short note, we establish a quantitative description of the genericity of transversality of $C^{1}$ -submanifolds in $R^{n}$ : Let $Σ \subset R^{n}$ be a $d$ -dimens…

math.DG2018★ 1 cited

Stability of Minimising Harmonic Maps under $W^{1, p}$ Perturbations of Boundary Data: $p \geq 2$

Siran Li

Let $Ω \subset R^{3}$ be a Lipschitz domain, and consider a harmonic map $v : Ω \to S^{2}$ with boundary data $v ∣ \partial Ω = φ$ which minimises the Dirichlet ener…

math.DG2018

A Remark on the Non-Compactness of $W^{2, d}$ Immersions of $d$ -Dimensional Hypersurfaces

Siran Li

We consider the continuous $W^{2, d}$ immersions of $d$ -dimensional hypersurfaces in $R^{d + 1}$ with second fundamental forms uniformly bounded in $L^{d}$ . Two results are obt…

math.AP2018

Geometric Regularity Criteria for Incompressible Navier--Stokes Equations with Navier Boundary Conditions

Siran Li

We study the regularity criteria for weak solutions to the $3 D$ incompressible Navier--Stokes equations in terms of the geometry of vortex structures, taking into account the bound…

math.AP2018★ 5 cited

On the Existence of $C^{1, 1}$ Isometric Immersions of Several Classes of Negatively Curved Surfaces Into $R^{3}$

Siran Li

We prove the existence of $C^{1, 1}$ isometric immersions of several classes of metrics on surfaces $(M, g)$ into the three-dimensional Euclidean space $R^{3}$ , wher…

math.AP2018★ 2 cited

On Vortex Alignment and Boundedness of $L^{q}$ Norm of Vorticity

Siran Li

We show that the spatial $L^{q}$ ( $q > 5/3$ ) norm of the vorticity of an incompressible viscous fluid in $R^{3}$ or $T^{3}$ remains bounded uniformly in time, provided…

math.AP2018

Regularity of Desingularised Models for Vortex Filaments in Incompressible Viscous Flows: A Geometrical Approach

Siran Li

We establish the regularity of weak solutions for the vorticity equation associated to a family of desingularised models for vortex filament dynamics in 3D incompressible viscous f…

The Inviscid Limit of the Navier-Stokes Equations with Kinematic and Navier Boundary Conditions

From the Nash--Kuiper Theorem of Isometric Embeddings to the Euler Equations for Steady Fluid Motions: Analogues, Examples, and Extensions

A Note on Generic Transversality of Euclidean Submanifolds

Stability of Minimising Harmonic Maps under W1,p Perturbations of Boundary Data: p≥2

A Remark on the Non-Compactness of W2,d Immersions of d-Dimensional Hypersurfaces

Geometric Regularity Criteria for Incompressible Navier--Stokes Equations with Navier Boundary Conditions

On the Existence of C1,1 Isometric Immersions of Several Classes of Negatively Curved Surfaces Into R3

On Vortex Alignment and Boundedness of Lq Norm of Vorticity

Regularity of Desingularised Models for Vortex Filaments in Incompressible Viscous Flows: A Geometrical Approach

Stability of Minimising Harmonic Maps under $W^{1, p}$ Perturbations of Boundary Data: $p \geq 2$

A Remark on the Non-Compactness of $W^{2, d}$ Immersions of $d$ -Dimensional Hypersurfaces

On the Existence of $C^{1, 1}$ Isometric Immersions of Several Classes of Negatively Curved Surfaces Into $R^{3}$

On Vortex Alignment and Boundedness of $L^{q}$ Norm of Vorticity