12 citations · 64 across the 21 of their papers we have counts for
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A Carleman type estimate of variable order space-fractional diffusion equations and applications to some inverse problems
Junxiong Jia, Jigen Peng
Variable order space-fractional diffusion equation derived as an important model to describe complex anomalous diffusion phenomenon. In this article, well-posedness theory has been…
Studies on an inverse source problem for a space-time fractional diffusion equation by constructing a strong maximum principle
Junxiong Jia, Jigen Peng, Jiaqing Yang
In this paper, we focus on a space-time fractional diffusion equation with the generalized Caputo's fractional derivative operator and a general space nonlocal operator (with the f…
Maximum principles for a time-space fractional diffusion equation
Junxiong Jia, Kexue Li
In this paper, we focus on maximum principles of a time-space fractional diffusion equation. Maximum principles for classical solution and weak solution are all obtained by using p…
Infinite-dimensional Bayesian approach for inverse scattering problems of a fractional Helmholtz equation
Junxiong Jia, Shigang Yu, Jigen Peng +1
In this paper, we focus on a new wave equation described wave propagation in the attenuation medium. In the first part of this paper, based on the time-domain space fractional wave…
Well-posedness for compressible MHD system with highly oscillating initial data
Junxiong Jia, Jigen Peng, Jinghuai Gao
In this paper, we transform compressible MHD system written in Euler coordinate to Lagrange coordinate in critical Besov space. Then we construct unique local solutions for compres…
Optimal Time Decay Rate for the Compressible Viscoelastic Equations in Critical Spaces
Junxiong Jia, Jigen Peng
In this paper, we are concerned with the convergence rates of the global strong solution to constant equilibrium state for the compressible viscoelastic fluids in the whole space.…
Optimal Time Decay of Navier-Stokes Equations With Low Regularity Initial Data
Junxiong Jia, Jigen Peng
In this paper, we study the optimal time decay rate of isentropic Navier-Stokes equations under the low regularity assumptions about initial data. In the previous works about optim…
On the global well-posedness of a generalized 2D Boussinesq equations
Junxiong Jia, Jigen Peng, Kexue Li
In this paper, we consider the global solutions to a generalized 2D Boussinesq equation \begin{align*} \left \{\begin{aligned} & \partial_{t} ω+ u\cdot \nabla ω+ νΛ^α ω= θ_{x_{1}}…
On the Decay and Stability of Global Solutions to the 3D Inhomogeneous MHD system
Junxiong Jia, Jigen Peng, Kexue Li
In this paper, we investigative the large time decay and stability to any given global smooth solutions of the D incompressible inhomogeneous MHD systems. We proved that given a…
Well-Posedness and Optimal Time-Decay for Compressible MHD System in Besov Space
Junxiong Jia, Jigen Peng, Kexue Li
In this paper, firstly, we prove the global well-posedness of three dimensional compressible magnetohydrodynamics equations for some classes of large initial data, which may have l…