仓储作者

刘跟前

职称：正高级
所属院系：数学与统计学院
成果数量：23条，属于本单位的个人成果23条

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[外文期刊] Spectral asymptotics for linear elasticity with mixed boundary conditions EI

作者： Liu, Genqian¹ （¹School of Mathematics and Statistics, Beijing Institute of Technology, Beijing; 100081, China）

出处： arXiv 2024

[外文期刊] Eigenvalue inequalities and three-term asymptotic formulas of the heat traces for the Lamé operator and Stokes operator EI

作者： Liu, Genqian¹ （¹School of Mathematics and Statistics, Beijing Institute of Technology, Beijing; 100081, China）

出处： arXiv 2024

[外文期刊] Stability estimates for the inverse boundary value problem for the first order perturbation of the biharmonic operator. SCIE

作者： Ma, Yanjun;Liu, Genqian （¹School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, China）

出处： J. Math. Anal. Appl. 2023 Vol.523 No.2 P127025

关键词： Stability estimates;Dirichlet-to-Neumann map;Biharmonic operator

摘要： In this paper, we prove logarithmic stability estimates for the magnetic and electric potentials associated to the first order perturbation of the bih ...

[外文期刊] On an algorithm for two-term spectral asymptotic formulas EI

作者： Liu, Genqian¹ （¹School of Mathematics and Statistics, Beijing Institute of Technology, Beijing; 100081, China）

出处： arXiv 2023

[外文期刊] Determining Lamé coefficients by the elastic Dirichlet-to-Neumann map on a Riemannian manifold SCIE EI

作者： Tan, Xiaoming¹; Liu, Genqian¹ （¹School of Mathematics and Statistics, Beijing Institute of Technology, Beijing; 100081, China）

出处： Inverse Problems 2023 Vol.39 No.9

[外文期刊] REMARKS ON PAPER 'TWO-TERM SPECTRAL ASYMPTOTICS IN LINEAR ELASTICITY' EI

作者： Liu, Genqian¹ （¹School of Mathematics and Statistics, Beijing Institute of Technology, Beijing; 100081, China）

出处： arXiv 2023

[外文期刊] Spectral invariants of the magnetic Dirichlet-to-Neumann map on Riemannian manifolds SCIE

作者： Liu, Genqian¹;Tan, Xiaoming¹; （¹School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, 100081, China）

出处： Journal of Mathematical Physics 2023 Vol.64 No.4

摘要： This paper is devoted to investigating the heat trace asymptotic expansion associated with the magnetic Steklov problem on a smooth compact Riemannian ...

[外文期刊] Some Liouville-type theorems for the stationary density-dependent Navier-Stokes equations SCIE

作者： Liu, Pan¹;Liu, Genqian¹; （¹ Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China.）

出处： JOURNAL OF MATHEMATICAL PHYSICS 2022 Vol.63 No.1

摘要： This paper is devoted to the Liouville-type theorems for the 3D stationary density-dependent Navier-Stokes equations, without any integrability assump ...

[外文期刊] Spectral invariants of the perturbed polyharmonic Steklov problem SCIE

作者： Liu, Genqian¹; （¹ Beijing Inst Technol, Dept Math, Beijing 100081, Peoples R China.）

出处： CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 2022 Vol.61 No.4

关键词： DIFFERENTIAL-EQUATIONS; OPERATOR; EIGENVALUES; EXPANSION; VALUES

摘要： For a given bounded domain Omega with smooth boundary in a smooth Riemannian manifold (M, g), we establish a procedure to calculate all the coefficien ...

[外文期刊] One can know the area and total curvatures of the boundary by hearing the resonances of a Stokes flow EI

作者： Liu, Genqian¹; （¹School of Mathematics and Statistics, Beijing Institute of Technology, Beijing; 100081, China）

出处： arXiv 2022

摘要： By calculating full symbol for the Dirichlet-to-Neumann map Λ of a Stokes flow, we establish the asymptotic expansion of the trace of the heat kernel ...

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