Nonlinear stability of laminar flows in an inclined heated layer with an imposed magnetic field
Sign Up to like & getrecommendations! Published in 2020 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.6284
Abstract: Nonlinear stability of stationary laminar flow solutions of two inclined parallel planes filled with a hydromagnetic fluid heated from below is studied via Lyapunov direct method. In order to determine the energy stability bound for… read more here.
Keywords: stability laminar; flows inclined; nonlinear stability; laminar flows ... See more keywords
Nonlinear Stability of Relativistic Vortex Sheets in Three-Dimensional Minkowski Spacetime
Sign Up to like & getrecommendations! Published in 2018 at "Archive for Rational Mechanics and Analysis"
DOI: 10.1007/s00205-018-1330-5
Abstract: We are concerned with the nonlinear stability of vortex sheets for the relativistic Euler equations in three-dimensional Minkowski spacetime. This is a nonlinear hyperbolic problem with a characteristic free boundary. In this paper, we introduce… read more here.
Keywords: vortex sheets; relativistic vortex; nonlinear stability; stability ... See more keywords
Nonlinear Stability Measures of Synchronised States in a Power Grid Model
Sign Up to like & getrecommendations! Published in 2025 at "Journal of Nonlinear Science"
DOI: 10.1007/s00332-025-10139-6
Abstract: Nonlinear stability of desired dynamics in multi-stable systems (systems with more than one attracting state) depends on the shape and size of its basins of attraction. ‘Basin stability’ estimates the volume of a state’s basin… read more here.
Keywords: basin stability; nonlinear stability; stability; power grid ... See more keywords
Weakly nonlinear stability analysis of triple diffusive convection in a Maxwell fluid saturated porous layer
Sign Up to like & getrecommendations! Published in 2018 at "Applied Mathematics and Mechanics"
DOI: 10.1007/s10483-018-2298-6
Abstract: The weakly nonlinear stability of the triple diffusive convection in a Maxwell fluid saturated porous layer is investigated. In some cases, disconnected oscillatory neutral curves are found to exist, indicating that three critical thermal Darcy-Rayleigh… read more here.
Keywords: triple diffusive; diffusive convection; convection maxwell; nonlinear stability ... See more keywords
Effect of gravity modulation on linear, weakly-nonlinear and local-nonlinear stability analyses of stationary double-diffusive convection in a dielectric liquid
Sign Up to like & getrecommendations! Published in 2020 at "Meccanica"
DOI: 10.1007/s11012-020-01241-y
Abstract: The paper deals with the study of effect of gravity modulation on double-diffusive convection in a dielectric liquid for the cases of rigid-rigid and free-free boundaries. Using a modified Venezian approach, expressions for the Rayleigh… read more here.
Keywords: nonlinear stability; convection; number; gravity modulation ... See more keywords
Linear and Nonlinear Stability of Double-Diffusive Convection with the Soret Effect
Sign Up to like & getrecommendations! Published in 2017 at "Transport in Porous Media"
DOI: 10.1007/s11242-017-0949-2
Abstract: The onset of double-diffusive convection in a horizontal fluid-saturated porous layer is examined by taking the Soret effect into consideration. The linear and nonlinear stability analyses are derived, and the corresponding eigenvalue problems are solved.… read more here.
Keywords: linear nonlinear; double diffusive; nonlinear stability; stability ... See more keywords
Nonlinear stability of modulated Horton–Rogers–Lapwood problem
Sign Up to like & getrecommendations! Published in 2017 at "International Journal of Engineering Science"
DOI: 10.1016/j.ijengsci.2017.06.027
Abstract: Abstract Nonlinear stability theory is used to investigate free convection arising in a particular class of Horton–Rogers–Lapwood (HRL) problem. Time periodic modulation is imposed on either the temperature at the bounding surfaces or the gravitational… read more here.
Keywords: nonlinear stability; rogers lapwood; horton rogers; problem ... See more keywords
Nonlinear stability analysis of rotationally-restrained imperfect doubly-curved composite shallow shells
Sign Up to like & getrecommendations! Published in 2019 at "Thin-Walled Structures"
DOI: 10.1016/j.tws.2019.05.008
Abstract: Abstract The semi-analytical solution for nonlinear stability analysis of imperfect doubly-curved laminated composite shallow shells with rotationally-restrained edges and under in-plane loading is presented. The nonlinear governing equations are established using the Galerkin method, and… read more here.
Keywords: stability analysis; nonlinear stability; doubly curved; composite shallow ... See more keywords
NONLINEAR STABILITY OF VISCOUS SHOCK WAVES FOR ONE-DIMENSIONAL NONISENTROPIC COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH A CLASS OF LARGE INITIAL PERTURBATION
Sign Up to like & getrecommendations! Published in 2018 at "Acta Mathematica Scientia"
DOI: 10.1016/s0252-9602(18)30797-5
Abstract: Abstract We study the nonlinear stability of viscous shock waves for the Cauchy problem of one-dimensional nonisentropic compressible Navier–Stokes equations for a viscous and heat conducting ideal polytropic gas. The viscous shock waves are shown… read more here.
Keywords: one dimensional; stability viscous; shock waves; nonlinear stability ... See more keywords
Bidispersive thermal convection with relatively large macropores
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Fluid Mechanics"
DOI: 10.1017/jfm.2020.411
Abstract: We derive linear instability and nonlinear stability thresholds for a problem of thermal convection in a bidispersive porous medium with a single temperature when Darcy theory is employed in the micropores whereas Brinkman theory is… read more here.
Keywords: convection relatively; relatively large; convection; thermal convection ... See more keywords
Global nonlinear stability of bidispersive porous convection with throughflow and depth-dependent viscosity
Sign Up to like & getrecommendations! Published in 2024 at "Physics of Fluids"
DOI: 10.1063/5.0174734
Abstract: The linear instability and the nonlinear stability analyses have been performed to examine the combined impact of a uniform vertical throughflow and a depth-dependent viscosity on bidispersive porous convection using the Darcy theory with a… read more here.
Keywords: depth dependent; nonlinear stability; stability; throughflow depth ... See more keywords