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Global stability for a nonlinear system of anisotropic wave equations
In this paper, we initiate the study of global stability for anisotropic systems of quasilinear wave equations. Equations of this kind arise...
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Global Stability for Nonlinear Wave Equations with Multi-Localized Initial Data
In this paper, we initiate the study of the global stability of nonlinear wave equations with initial data that are not required to be localized...
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Stability and global dynamics of a quantum Cournot duopoly game with isoelastic demand
In this paper, a statics quantum Cournot duopoly model with isoelastic demand is firstly set up considering quantum entanglement in decision making...
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Global Stability of Minkowski Space for the Einstein–Maxwell–Klein–Gordon System in Generalized Wave Coordinates
We prove global existence for Einstein’s equations with a charged scalar field for initial conditions sufficiently close to the Minkowski spacetime...
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On thermodynamic stability of black holes. Part I: classical stability
We revisit the classical thermodynamic stability of the standard black hole solutions by implementing the intrinsic necessary and sufficient...
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Global Nonlinear Stability of Large Dispersive Solutions to the Einstein Equations
We extend the monumental result of Christodoulou–Klainerman on the global nonlinear stability of the Minkowski spacetime to the global nonlinear...
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Global stability analysis of the axisymmetric boundary layer: Effect of axisymmetric forebody shapes on the helical global modes
The effects of different axisymmetric forebody shapes have been studied on the non-axisymmetric (helical) global modes of the boundary layer...
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Stability of Global Maxwellian for Fully Nonlinear Fokker–Planck Equations
This paper considers the stability of solutions around a global Maxwellian to the fully non-linear Fokker–Planck equation in the whole space. This...
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Global dynamics of a quantum Cournot duopoly with quadratic costs and relative profit maximization
To be more realistic, this paper considers the pursuit of maximizing relative profits by firms, establishes a Cournot duopoly game model with quantum...
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Global stability of a class of virus dynamics models with general incidence rate and multitarget cells
In this paper, stability dynamics of two viral infection models with antibody immune response are formulated and analyzed. We assume that the virus...
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Nuclear Astrophysicsand Nuclei Far from Stability
This lecture concentrates on nucleosynthesis processes in stellar evolution and stellar explosions, with an emphasis on the role of nuclei far from...
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On stability of thermodynamic systems: a fluctuation theory perspective
In this paper, we study the stability analysis of thermodynamic configurations in the space of matrices, arising from an embedding of real...
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Quasi-normal Modes and Stability of the Solutions
The stability of solutions against linear perturbations is one of the most important properties to investigate. An unstable solution in general will...
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Stability for the Magnetic Bénard System with Partial Dissipation
In this paper, we prove the global existence and stability of the magnetic Bénard system with partial dissipation on perturbations near a background...
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Emergent stability in complex network dynamics
The stable functionality of networked systems is a hallmark of their natural ability to coordinate between their multiple interacting components....
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Modal and Non-Modal Stability of the Heated Flat-Plate Boundary Layer with Temperature-Dependent Viscosity
AbstractThis paper presents a modal and non-modal stability analysis of the boundary layer developed on a hot plate. A liquid-type...
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Almost Global Existence for Some Hamiltonian PDEs with Small Cauchy Data on General Tori
In this paper we prove a result of almost global existence for some abstract nonlinear PDEs on flat tori and apply it to some concrete equations,...
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Resonant drivings in global AdS
We revisit the case of a real scalar field in global AdS 4 subject to a periodic driving. We address the issue of adiabatic preparation and...