Results 61 to 70 of about 659,273 (124)
Demonstratio MathematicaIn this article, we study the inviscid limit of the solution to the Cauchy problem of a one-dimensional viscous conservation law, where the second-order term is nonlinear. Under the assumption that the inviscid equation admits a piecewise smooth solution
Feng Li, Wang Jing
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Stability Problems and Analytical Integration for the Clebsch’s System
Open Mathematics, 2019 The nonlinear stability and the existence of periodic orbits of the equilibrium states of the Clebsch’s system are discussed.. Numerical integration using the Lie-Trotter integrator and the analytic approximate solutions using Multistage Optimal Homotopy
Pop Camelia, Ene Remus-Daniel
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Science and Engineering of Composite Materials, 2017 This article investigates the nonlinear stability of eccentrically stiffened moderately thick plates made of functionally graded materials (FGM) subjected to in-plane compressive, thermo-mechanical loads.
Cong Pham Hong +2 more
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Optimal Explicit Strong Stability Preserving Runge--Kutta Methods with High Linear Order and optimal Nonlinear Order [PDF]
, 2014 High order spatial discretizations with monotonicity properties are often desirable for the solution of hyperbolic PDEs. These methods can advantageously be coupled with high order strong stability preserving time discretizations.
Gottlieb, Sigal +2 more
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Stability problems and numerical integration on the Lie group SO(3) × R3 × R3
Open Mathematics, 2018 The paper is dealing with stability problems for a nonlinear system on the Lie group SO(3) × R3 × R3. The approximate analytic solutions of the considered system via Optimal Homotopy Asymptotic Method are presented, too.
Pop Camelia, Ene Remus-Daniel
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Nonlinear modes in the harmonic PT-symmetric potential
, 2012 We study the families of nonlinear modes described by the nonlinear Schr\"odinger equation with the PT-symmetric harmonic potential $x^2-2i\alpha x$. The found nonlinear modes display a number of interesting features. In particular, we have observed that
Dmitry A. Zezyulin +4 more
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Nonlinear localized modes at phase-slip defects in waveguide arrays
, 2007 We study light localization at a phase-slip defect created by two semi-infinite mismatched identical arrays of coupled optical waveguides. We demonstrate that the nonlinear defect modes possess the specific properties of both nonlinear surface modes and ...
Aceves +17 more
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Stability and dynamical analysis of whirl flutter in a gimballed rotor-nacelle system with a smooth nonlinearity [PDF]
, 2023 Christopher Mair +2 more
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Review on Application of Control Algorithms to Power Regulations of Reactor Cores
ITM Web of Conferences, 2016 This research is to solve the stability analysis issue of nonlinear pressurized water reactor cores. On the basis of modeling a nonlinear pressurized water reactor core using the lumped parameter method, its linearized model is achieved via the small ...
Li Gang +4 more
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Stability of pole solutions for planar propagating flames: II. Properties of eigenvalues/eigenfunctions and implications to stability [PDF]
, 2000 In a previous paper (Part I) we focused our attention on pole solutions that arise in the context of flame propagation. The nonlinear development that follows after a planar flame front becomes unstable is described by a single nonlinear PDE which admits
Matalon, Moshe, Vaynblat, Dimitri
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