2 papers
math.AP2025
Existence of smooth solutions of the Navier-Stokes equations in three-dimensional Euclidean space
Genqian Liu
Based on the essential connection of the parabolic inertia Lamé equations and Navier-Stokes equations, we prove the existence of smooth solutions of the incompressible Navier-Stok…
math.DG2024
Eigenvalue inequalities and three-term asymptotic formulas of the heat traces for the Lamé operator and Stokes operator
Genqian Liu
This paper is devoted to establish the most essential connections of the eigenvalue problems for the Laplace operator, Lamé operator, Stokes operator, buckling operator and clampe…