From the 1 of 3 linked papers with an AI index.
3 papers
math.AP2026
Exponential decay for the 3D Boussinesq equations with Navier boundary conditions
Wen Feng, Weinan Wang, Xiang Xu
We study the three-dimensional incompressible Boussinesq equations on a bounded domain with smooth boundary and Navier boundary conditions. We construct global weak solutions by a…
math.AP2026
Contact set of solutions to gradient flow of Landau-de Gennes energy with a singular entropy potential
Yuning Liu, Xiang Xu
The paper analyzes the Q‑tensor gradient flow for the Landau‑de Gennes energy with a singular entropy potential, proving H¹ regularity of the potential and characterizing the set w…
math.AP2026
Inverse boundary value problems of determining nonlinear coefficients for the JMGT equation
Dong Qiu, Xiang Xu, Yeqiong Ye +1
We consider inverse boundary value problems for the Jordan-Moore-Gibson-Thompson (JMGT) equation in nonlinear acoustics with quadratic nonlinearities of Kuznetsov-type and Westerve…