Results 111 to 120 of about 53,167 (307)
Non-integrability of a fifth order equation with integrable two-body dynamics [PDF]
, 2003 We consider the fifth order partial differential equation (PDE) u4x,t?5uxxt+4ut+uu5x+2uxu4x?5uu3x?10uxuxx+12uux=0, which is a generalization of the integrable Camassa-Holm equation.
Holm, Darryl D., Hone, Andrew N.W.
core +1 more source
The chaotic effects in a nonlinear QCD evolution equation
Nuclear Physics B, 2016 The corrections of gluon fusion to the DGLAP and BFKL equations are discussed in a united partonic framework. The resulting nonlinear evolution equations are the well-known GLR–MQ–ZRS equation and a new evolution equation.
Wei Zhu, Zhenqi Shen, Jianhong Ruan
doaj +1 more source
Influence of Geometric Design on Mechanical Performance of Auxetic Metastructure
Advanced Engineering Materials, EarlyView.Strategic geometric reinforcement transforms auxetic performance. This study evaluates 3D‐printed arrowhead metastructures, revealing that a modified design with local ring reinforcement suppresses premature failure to achieve superior energy absorption and structural efficiency.
Muhammad Gulzari +3 more
wiley +1 more source
Advanced Engineering Materials, EarlyView.A combined experimental–computational framework identifies energy‐dependent laser absorptivity for NiTi in laser powder‐bed fusion, applicable to conduction and transition modes. Single‐track experiments and thermofluid smoothed particle hydrodynamics simulations are coupled through inverse analysis of melt pool geometry.
Mohamadreza Afrasiabi +3 more
wiley +1 more source
Convection in fluid and porous media [PDF]
, 2003 The subject of convection in fluid and porous media is investigated. Particular attention is paid to penetrative convection. The first two chapters are devoted to penetrative convection when fluid overlies and saturates a porous medium.
Carr, Magda
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Nonlinear Evolution Equations without Convexity
Journal of Mathematical Analysis and Applications, 1995 The purpose of this article is to prove an existence result for the Cauchy problem \(x' \in - \partial^- f(x) + F(x)\), \(x(0) = x_0\), \(x_0 \in D (\partial^- f)\), where \(f : \Omega \subset \mathbb{R}^n \to \mathbb{R} \cup \{+ \infty\}\) is a function with \(\psi\)-monotone subdifferential of order 2 such that the mapping \(x \mapsto \text{grad}^- f(
openaire +2 more sources
Experimental Characterization of Mycelium‐Based Composites Under Multiple Loading Conditions
Advanced Engineering Materials, EarlyView.This study examines the mechanical response of mycelium‐based composites under compression, shear, and tension using mechanical testing and imaging methods. The comparison between unpressed and hot‐pressed specimens shows that hot pressing is associated with higher compression and shear stiffnesses.
Shaghayegh Elahi +5 more
wiley +1 more source
On the XFEL Schroedinger Equation: Highly Oscillatory Magnetic Potentials and Time Averaging
, 2014 We analyse a nonlinear Schr\"odinger equation for the time-evolution of the wave function of an electron beam, interacting selfconsistently through a Hartree-Fock nonlinearity and through the repulsive Coulomb interaction of an atomic nucleus.
Hajaiej, Hichem +3 more
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Advanced Engineering Materials, EarlyView.This study applies machine learning regression to predict chromium layer thickness in decorative trivalent chromium electroplating, using 441 experiments from laboratory‐scale (1L) and pilot‐scale (14L) setups. Tree‐based models, particularly CatBoost, outperformed linear regression by capturing nonlinear parameter interactions (R2$R^2$ up to 0.77 ...
Christoph Baumer +4 more
wiley +1 more source
Analysis of complex nonlinear reaction-diffusion equations [PDF]
, 2008 A mathematical analysis has been carried out for some nonlinear reaction- diffusion equations on open bounded convex domains Ω C R(^d)(d < 3) with Robin boundary conditions- Existence, uniqueness and continuous dependence on initial data of weak and ...
Al-Ofl, Abdalaziz Saleem
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