ABSTRACT We study eigenvalue problems for the de Rham complex on varying three‐dimensional domains. Our analysis includes the Helmholtz equation as well as the Maxwell system with mixed boundary conditions and non‐constant coefficients. We provide Hadamard‐type formulas for the shape derivatives under weak regularity assumptions on the domain and its ...
Pier Domenico Lamberti +2 more
wiley +1 more source
Do Environmental Degradation, ICT, Health Expenditure, and Institutional Quality Affect Life Expectancy? [PDF]
Zhang H, Shao Q, Uddin I, Zhang X.
europepmc +1 more source
Asymptotics for the Spectrum of the Laplacian in Thin Bars with Varying Cross Sections
ABSTRACT We consider spectral problems for the Laplace operator in 3D rod structures with a small cross section of diameter O(ε)$$ O\left(\varepsilon \right) $$, ε$$ \varepsilon $$ being a positive parameter. The boundary conditions are Dirichlet (Neumann, respectively) on the bases of this structure, and Neumann on the lateral boundary.
Pablo Benavent‐Ocejo +2 more
wiley +1 more source
A nonlocal West Nile virus model with nonlocal free boundary conditions driven by both mosquitoes and birds. [PDF]
Long X, Lou Y, Ni W, Yi T.
europepmc +1 more source
ABSTRACT Nonlinear differential equations play a fundamental role in modeling complex physical phenomena across solid‐state physics, hydrodynamics, plasma physics, nonlinear optics, and biological systems. This study focuses on the Shynaray II‐A equation, a relatively less‐explored parametric nonlinear partial differential equation that describes ...
Aamir Farooq +4 more
wiley +1 more source
Research on the Consensus Convergence Rate of Multi-Agent Systems Based on Hermitian Kirchhoff Index Measurement. [PDF]
Deng H, Wu T.
europepmc +1 more source
High Relative Accuracy Computations With Covariance Matrices of Order Statistics
ABSTRACT In many statistical applications, numerical computations with covariance matrices need to be performed. The error made when performing such numerical computations increases with the condition number of the covariance matrix, which is related to the number of variables and the strength of the correlation between the variables. In a recent work,
Juan Baz +3 more
wiley +1 more source
Network-Based Epidemic Control Through Optimal Travel and Quarantine Management. [PDF]
Talaei M +4 more
europepmc +1 more source
SEMI-DEFINITE PROGRAMMING TECHNIQUES FOR STRUCTURED QUADRATIC INVERSE EIGENVALUE PROBLEMS. [PDF]
Lin MM, Dong B, Chu MT.
europepmc +1 more source
Weak Solutions for a Class of Nonlocal Singular Problems Over the Nehari Manifold
ABSTRACT In this paper, we consider a nonlocal model of dilatant non‐Newtonian fluid with a Dirichlet boundary condition. By using the Nehari manifold and fibering map methods, we obtain the existence of at least two weak solutions, with sign information.
Zhenfeng Zhang +2 more
wiley +1 more source

