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A local approach to stability groups
In this short note we prove a local version of Philip Hall’s theorem on the nilpotency of the stability group of a chain of subgroups by only using...
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Full Stability of Local Minimizers
Abstract
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Primal–Dual Stability in Local Optimality
Much is known about when a locally optimal solution depends in a single-valued Lipschitz continuous way on the problem’s parameters, including tilt...
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Stability Analyses of Brinkman–Bénard Convection in Hybrid-Nanoliquid Saturated-Porous Medium Using Local Thermal Non-equilibrium Model
This paper carries out linear and weakly non-linear stability analyses of natural convection in a Newtonian hybrid-nanoliquid saturated porous...
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Local Stability to the Einstein-Euler System in Schwarzschild Space-time
We study the Schwarzschild spacetime solutions to the Einstein-Euler equations. In our analysis, we aim to show local stability under small...
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Stability Theory
Stability of solutions is an important qualitative property in linear as well as nonlinear systems. The objective of this chapter is to introduce...
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Algebraic Invariants and Local Stability of Planar Differential Systems
In this paper, we are interested in the local stability of planar polynomial differential systems. We develop a method to determine the resolvent of...
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On the Local Solvability and Stability for the Inverse Spectral Problem of the Generalized Dirichlet—Regge Problem
For the generalized Dirichlet—Regge problem with complex coefficients, we prove the local solvability and stability for the inverse spectral problem,...
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Stability and Error Estimates of Local Discontinuous Galerkin Methods with Implicit–Explicit Backward Difference Formulas up to Fifth Order for Convection–Diffusion Equation
In this paper, the stability analysis and optimal error estimates are presented for a kind of fully discrete schemes for solving one-dimensional...
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Linear Stability
This chapter is devoted to presenting the theory of linear stability for numerical methods solving ODEs. Characteristic properties occurring when the...
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Stability results of locally coupled wave equations with local Kelvin-Voigt dam**: Cases when the supports of dam** and coupling coefficients are disjoint
In this paper, we study the direct/indirect stability of locally coupled wave equations with local Kelvin-Voigt dam**s/dam**, where we assume...
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Exponential Stability of a Multi-Particle System with Local Interaction and Distributed Delay
For a collective system, the connectedness of the adjacency matrix plays a key role in making the system achieve its emergent feature, such as...
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Stability of a Graph of Strings with Local Kelvin–Voigt Dam**
We study the stability problem of a tree of elastic strings with local Kelvin–Voigt dam** on some of the edges. Under appropriate conditions on the...
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Local Existence of 2D Compressible Current-Vortex Sheets
This survey presents our recent results in Morando et al. 2023, where we establish the local-in-time existence and the nonlinear stability of...
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Stability of elliptic Harnack inequalities
We survey some recent progress in the study of stability of elliptic Harnack inequalities under form-bounded perturbations for strongly local...
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A High-Order Velocity-Based Discontinuous Galerkin Scheme for the Shallow Water Equations: Local Conservation, Entropy Stability, Well-Balanced Property, and Positivity Preservation
The nonlinear shallow water equations (SWEs) are widely used to model the unsteady water flows in rivers and coastal areas. In this work, we present...
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Stability of Transmission Wave-Plate Equations with Local Indirect Dam**
This paper is devoted to the energy decay estimates for the coupled wave-plate system with local frictional dam** in a bounded domain. The...
