Zonglin Jia

activity

20182022

collaborators

6 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-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 $su (2)$ -Einstein-Yang-Mills-Higgs(EYMH) equation. The approach we employ stems from H.…

math.AP2019

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 $R^{4}$ . 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 $m$ -dimensional closed Riemannian manifold and prove that it admits a unique local solution. In addition, if $m\…

math.DG2018

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 $g$ ,…

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 $M$ in a complete Riemannian manifold $N$ with $dim (N) = dim (M) + 1 = n + 1$ , which were introduced by Mantega…