Accelerating convergence of the globalized Newton method to critical solutions of nonlinear equations
Sign Up to like & getrecommendations! Published in 2021 at "Computational Optimization and Applications"
DOI: 10.1007/s10589-020-00230-x
Abstract: In the case of singular (and possibly even nonisolated) solutions of nonlinear equations, while superlinear convergence of the Newton method cannot be guaranteed, local linear convergence from large domains of starting points still holds under… read more here.
Keywords: convergence; newton method; nonlinear equations; solutions nonlinear ... See more keywords
Critical Solutions of Scalarized Black Holes
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DOI: 10.3390/sym12122057
Abstract: We consider charged black holes with scalar hair obtained in a class of Einstein-Maxwell-scalar models, where the scalar field is coupled to the Maxwell invariant with a quartic coupling function. Besides the Reissner-Nordstr\"om black holes,… read more here.
Keywords: scalarized black; critical solutions; solutions scalarized; black holes ... See more keywords
Onsager critical solutions of the forced Navier-Stokes equations
Sign Up to like & getrecommendations! Published in 2022 at "Communications on Pure and Applied Analysis"
DOI: 10.3934/cpaa.2023071
Abstract: We answer positively to [BDL22, Question 2.4] by building new examples of solutions to the forced 3d-Navier-Stokes equations with vanishing viscosity, which exhibit anomalous dissipation and which enjoy uniform bounds in the space $L_t^3 C_x^{1/3… read more here.
Keywords: solutions forced; forced navier; critical solutions; onsager critical ... See more keywords