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 2020Show all

7 papers · 1 filter

math.AP2020

A new proof of the Gaffney's inequality for differential forms on manifolds-with-boundary: the variational approach à la Kozono--Yanagisawa

Siran Li

Let $(M, g_{0})$ be a compact Riemannian manifold-with-boundary. We present a new proof of the classical Gaffney's inequality for differential forms in boundary value spaces…

math.PR2020

Expected signature of stopped Brownian motion on $d$ -dimensional $C^{2, α}$ -domains has finite radius of convergence everywhere: $2 \leq d \leq 8$

Siran Li, Hao Ni

A fundamental question in rough path theory is whether the expected signature of a geometric rough path completely determines the law of signature. One sufficient condition is that…

math.DG2020

Smoothability of $L^{p}$ -connections on bundles and isometric immersions with $W^{2, p}$ -regularity

Siran Li

We are concerned with two interrelated problems: smoothability of connection 1-forms with low regularity on bundles with prescribed smooth curvature 2-forms, and existence of isome…

math.DG2020

A dynamical--topological obstruction for smooth isometric embeddings of Riemannian manifolds via incompressible Euler equations

Siran Li

We obtain a dynamical--topological obstruction for the existence of isometric embedding of a Riemannian manifold-with-boundary $(M, g)$ : if the first real homology of $M$ is nontriv…

math.HO2020

Volume decay and concentration of high-dimensional Euclidean balls -- a PDE and variational perspective

Siran Li

It is a well-known fact -- which can be shown by elementary calculus -- that the volume of the unit ball in $R^{n}$ decays to zero and simultaneously gets concentrated on th…

math.DG2020★ 1 cited

The Weyl problem of isometric immersions revisited

Siran Li

We revisit the classical problem due to Weyl, as well as its generalisations, concerning the isometric immersions of $S^{2}$ into simply-connected $3$ -dimensional Riemannian…

math.DG2020

Optimal regularity for the Pfaff system and isometric immersions in arbitrary dimensions

Siran Li

We prove the existence, uniqueness, and $W^{1, 2}$ -regularity for the solution to the Pfaff system with antisymmetric $L^{2}$ -coefficient matrix in arbitrary dimensions. Hence, we est…

A new proof of the Gaffney's inequality for differential forms on manifolds-with-boundary: the variational approach à la Kozono--Yanagisawa

Expected signature of stopped Brownian motion on d-dimensional C2,α-domains has finite radius of convergence everywhere: 2≤d≤8

Smoothability of Lp-connections on bundles and isometric immersions with W2,p-regularity

A dynamical--topological obstruction for smooth isometric embeddings of Riemannian manifolds via incompressible Euler equations

Volume decay and concentration of high-dimensional Euclidean balls -- a PDE and variational perspective

The Weyl problem of isometric immersions revisited

Optimal regularity for the Pfaff system and isometric immersions in arbitrary dimensions

Expected signature of stopped Brownian motion on $d$ -dimensional $C^{2, α}$ -domains has finite radius of convergence everywhere: $2 \leq d \leq 8$

Smoothability of $L^{p}$ -connections on bundles and isometric immersions with $W^{2, p}$ -regularity