Stability and large time decay for the 3D anisotropic MHD-Boussinesq equations near the hydrostatic equilibrium
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DOI: 10.1063/5.0291011
Abstract: This paper investigates the three-dimensional anisotropic magnetohydrodynamics-Boussinesq equations with horizontal fractional dissipation for perturbations around the hydrostatic equilibrium. By thoroughly leveraging the system’s inherent structure, energy-based approaches, and bootstrapping argument techniques, we demonstrate the global… read more here.
Keywords: anisotropic; stability large; hydrostatic equilibrium; boussinesq equations ... See more keywords
Delay effects on the stability of large ecosystems
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DOI: 10.1073/pnas.2211449119
Abstract: Significance Understanding how communities emerge from a large number of interacting entities is a long-standing question in several fields. In ecosystems with randomly coupled species, a delayed dynamics seemed to play a minor role in… read more here.
Keywords: large ecosystems; delay effects; stability large; effects stability ... See more keywords
Stability of large complex systems with heterogeneous relaxation dynamics
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DOI: 10.1088/1742-5468/ac3b47
Abstract: We study the probability of stability of a large complex system of size N within the framework of a generalized May model, which assumes a linear dynamics of each population size n i (with respect… read more here.
Keywords: probability stability; stability large; large complex; systems heterogeneous ... See more keywords