activity
20182022
most citedGlobal Weak Solutions to Landau-Lifshitz Equations into Compact Lie Algebras

2 citations · 4 across the 10 of their papers we have counts for

collaborators

10 papers

math.AP2022

Neumann Boundary Problem of Second Order Parabolic Quasi-Linear System with Variable Coefficient on a Vector Bundle

Zonglin Jia

Classical results of second order parabolic quasi-linear equations always require that the nonlinear terms are controlled by a power of the unknown functions and their first deriva…

math.AP2022

Global Existence for The Massive Dirac Equations with small initial datum on Tori

Zonglin Jia

In the article we obtain almost global existence for Dirac Equations with high regularity and small initial datum on Tori. Besides, the global existence with low regularity and sma…

math-ph2019

Global existence of the solution to Einstein-Yang-Mills-Higgs equations with small initial datum

Zonglin Jia, Boling Guo

The problem involved in this paper is the global existence of the solution to the -Einstein-Yang-Mills-Higgs(EYMH) equation. The approach we employ stems from H.…

math.AP2019★ 1 cited

Global existence of the solution to Einstein-Maxwell equations with small initial data

Zonglin Jia, Boling Guo

We study the global existence of Einstein-Maxwell(EM) equations on . We use the method, which relies on wave and Lorentzian gauge conditions, to obtain some exquisite…

math.AP2018

Landau-Lifshitz-Bloch equation on Riemannian manifold

Boling Guo, Zonglin Jia

In this article, we bring in Landau-Lifshitz-Bloch(LLB) equation on -dimensional closed Riemannian manifold and prove that it admits a unique local solution. In addition, if $m\…

math.DG2018★ 1 cited

Local strong solution to General Landau-Lifshitz-Bloch equation

Zonglin Jia

In this paper, we bring in General Landau-Lifshitz-Bloch equation and prove that it admits a local strong solution.

math.DG2018

Decay Estimations of Higher Derivatives of Solutions to Nonlinear Dirac Equation with Spin Null Structure

Zonglin Jia

We get decay rate of higher derivatives of nonlinear massless Dirac equations with a kind of "good" spin null form. The method we rely on is similar to that of Li and Zang. However…

math.DG2018

Local Nonautonomous Schrödinger Flows on Kähler Manifolds

Zonglin Jia, Youde Wang

In this paper, we prove that the nonautonomous Schrödinger flow from a compact Riemannian manifold into a Kähler manifold admits a local solution. Under some certain…

math.DG2018★ 2 cited

Global Weak Solutions to Landau-Lifshitz Equations into Compact Lie Algebras

Zonglin Jia, Youde Wang

In this paper, we consider a parabolic system from a bounded domain in a Euclidean space or a closed Riemannian manifold into a unit sphere in a compact Lie algebra ,…

math.DG2018

Higher order geometric flow of hypersurfaces in a Riemannian manifold

Zonglin Jia, Youde Wang

In this paper, we consider the high order geometric flows of a submanifolds in a complete Riemannian manifold with , which were introduced by Mantega…