Results 41 to 50 of about 95,793 (250)
Construction of Special Solutions for Nonintegrable Systems
, 2006 The Painleve test is very useful to construct not only the Laurent series solutions of systems of nonlinear ordinary differential equations but also the elliptic and trigonometric ones. The standard methods for constructing the elliptic solutions consist
Ablowitz M J +30 more
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Advanced Materials Technologies, EarlyView.Transducers convert physical signals into electrical and optical representations, yet each mechanism is bounded by intrinsic trade‐offs across bandwidth, sensitivity, speed, and energy. This review maps transduction mechanisms across physical scale and frequency, showing how heterogeneous integration and multiphysics co‐design transform isolated ...
Aolei Xu +8 more
wiley +1 more source
Homogenization results for chemical reactive flows through porous media [PDF]
, 2005 This paper deals with the homogenization of a nonlinear problem mod-elllng chemica! reactive flows through periodically perforated domains. The chemical reactions take place on the walls of the porous médium.
Conca, C. +3 more
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Asymptotic Estimates and Qualitatives Properties of an Elliptic Problem in Dimension Two
, 2004 In this paper we study a semilinear elliptic problem on a bounded domain in $\R^2$ with large exponent in the nonlinear term. We consider positive solutions obtained by minimizing suitable functionals. We prove some asymtotic estimates which enable us to
Grossi, Massimo, Mehdi, Khalil El
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Hard‐Magnetic Soft Millirobots in Underactuated Systems
Advanced Robotics Research, EarlyView.This review provides a comprehensive overview of hard‐magnetic soft millirobots in underactuated systems. It examines key advances in structural design, physics‐informed modeling, and control strategies, while highlighting the interplay among these domains.
Qiong Wang +4 more
wiley +1 more source
Helix Alignment, Chevrons, and Edge Dislocations in Twist‐Bend Ferroelectric Nematics
Advanced Science, EarlyView.The recently discovered twist‐bend ferroelectric nematic (NTBF) is the new member of the multiferroic family, representing a fluid with an oblique helicoidal (heliconical) periodic structure of spontaneous electric polarization. The work presents a thorough exploration of the material properties of this phase, how the periodic modulation of ...
Bijaya Basnet +8 more
wiley +1 more source
Strongly nonlinear elliptic problem without growth condition
Electronic Journal of Differential Equations, 2002 We study a boundary-value problem for the $p$-Laplacian with a nonlinear term. We assume only coercivity conditions on the potential and do not assume growth condition on the nonlinearity.
Aomar Anane, Omar Chakrone
doaj
The Initial and Neumann Boundary Value Problem for a Class Parabolic Monge-Ampère Equation
Abstract and Applied Analysis, 2013 We consider the existence, uniqueness, and asymptotic behavior of a classical solution to the initial and Neumann boundary value problem for a class nonlinear parabolic equation of Monge-Ampère type. We show that such solution exists for all times and is
Juan Wang, Jinlin Yang, Xinzhi Liu
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On a Nonlinear Elliptic Eigenvalue Problem
Journal of Differential Equations, 1995 The eigenvalue problem \(- \Delta u- \mu u= \lambda g(x, u)\) in \(D\), \(u= 0\) on \(\partial D\), with prescribed energy condition is considered. Multiplicity results are proved, based on Lyusternik-Schnirelman theory.
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A Finite Element Method for Nonlinear Elliptic Problems [PDF]
SIAM Journal on Scientific Computing, 2013 We present a continuous finite element method for some examples of fully nonlinear elliptic equation. A key tool is the discretisation proposed in Lakkis & Pryer (2011, SISC) allowing us to work directly on the strong form of a linear PDE. An added benefit to making use of this discretisation method is that a recovered (finite element) Hessian is a
Lakkis, Omar, Pryer, Tristan
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