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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
This paper investigates the convexity structure and contact set of the -tensor flow with anisotropic Landau--de Gennes elastic energy and a singular entropy potential . Th…
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…