Results 31 to 40 of about 104,532 (267)

On Asymptotic Completeness of Scattering in the Nonlinear Lamb System, II

, 2012
We establish the asymptotic completeness in the nonlinear Lamb system for hyperbolic stationary states. For the proof we construct a trajectory of a reduced equation (which is a nonlinear nonautonomous ODE) converging to a hyperbolic stationary point ...
A. E. Merzon, A. I. Komech, Babin A. V., Komech A. I., Renardy M.   +4 more
core   +1 more source

The numerical solution of the nonlinear hyperbolic-parabolic heat equation

Discrete and Continuous Models and Applied Computational Science
The article discusses a mathematical model and a finite-difference scheme for the heating process of an infinite plate. The disadvantages of using the classical parabolic heat equation for this case and the rationale for using the hyperbolic heat ...
Vladislav N. Khankhasaev, Safron A. Bairov   +1 more
doaj   +1 more source

Exact Solutions to the Sharma-Tasso-Olver Equation by Using Improved G′/G-Expansion Method

Journal of Applied Mathematics, 2013
This paper is concerned with a double nonlinear dispersive equation: the Sharma-Tasso-Olver equation. We propose an improved G′/G-expansion method which is employed to investigate the solitary and periodic traveling waves of this equation.
Yinghui He, Shaolin Li, Yao Long
doaj   +1 more source

De Giorgi's approach to hyperbolic Cauchy problems: the case of nonhomogeneous equations

, 2017
In this paper we discuss an extension of some results obtained by E. Serra and P. Tilli, in [Serra&Tilli '12, Serra&Tilli '16], concerning an original conjecture by E.
Tentarelli, Lorenzo, Tilli, Paolo
core   +1 more source

A remark on asymptotic completeness for the critical nonlinear Klein-Gordon equation

, 2005
We give a short proof of asymptotic completeness and global existence for the cubic Nonlinear Klein-Gordon equation in one dimension. Our approach to dealing with the long range behavior of the asymptotic solution is by reducing it, in hyperbolic ...
Avy Soffer, H. Lindblad, H. Lindblad, H. Lindblad, Hans Lindblad, J. Shatah, J.-M. Delort, J.C.H. Simon, J.C.H. Simon, L. Hörmander, S. Klainerman   +10 more
core   +1 more source

A Class of Nonlinear Hyperbolic Equations

Demonstratio Mathematica, 1989
Let \(\Phi:[0,T] \times X \to(-\infty,\infty)\) be measurable with respect to the \(\sigma\)-algebra generated in \([0,T] \times X\) by products of Lebesgue sets in \([0,T]\) and Borel sets in \(X\); \(\Phi (t,\cdot)\) is lower semicontinuous and convex, and \(\partial \Phi\) denotes the subdifferential of \(\Phi (t,\cdot)\).
openaire   +2 more sources

A Robust Adaptive One‐Sample‐Ahead Preview Super‐Twisting Sliding Mode Controller

International Journal of Adaptive Control and Signal Processing, EarlyView.
Block Diagram of the Robust Adaptive One‐Sample‐Ahead Preview Super‐Twisting Sliding Mode Controller. ABSTRACT This article introduces a discrete‐time robust adaptive one‐sample‐ahead preview super‐twisting sliding mode controller. A stability analysis of the controller by Lyapunov criteria is developed to demonstrate its robustness in handling both ...
Guilherme Vieira Hollweg, Paulo Jefferson Dias de Oliveira Evald, Shivam Chaturvedi, Hilton Abilio Gründling, Rodrigo Varella Tambara, Wencong Su   +5 more
wiley   +1 more source

Nonlinear Schrödinger equation on real hyperbolic spaces

Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2009
We consider the Schrödinger equation with no radial assumption on real hyperbolic spaces \mathbb{H}^{n} . We obtain in all dimensions n⩾2 sharp dispersive and Strichartz estimates for a large family of admissible pairs.
Anker, Jean-Philippe, Pierfelice, Vittoria   +1 more
openaire   +2 more sources

Spectrally Tunable 2D Material‐Based Infrared Photodetectors for Intelligent Optoelectronics

Advanced Functional Materials, EarlyView.
Intelligent optoelectronics through spectral engineering of 2D material‐based infrared photodetectors. Abstract The evolution of intelligent optoelectronic systems is driven by artificial intelligence (AI). However, their practical realization hinges on the ability to dynamically capture and process optical signals across a broad infrared (IR) spectrum.
Junheon Ha, Yingshan Ma, Yong Nam An, Sung‐Un An, Hyeon Hak Jung, Suvi‐Tuuli Varjamo, Jiwon Yoo, Junho Min, Hanvit Kim, Faisal Ahmed, Sang Hoon Chae, Young Min Song, Weiwei Cai, Tawfique Hasan, Zhipei Sun, Dong‐Ho Kang, Hyeon‐Jin Shin, Yunyun Dai, Hoon Hahn Yoon   +18 more
wiley   +1 more source

Applications of extended F-expansion and projective Ricatti equation methods to (2+1)-dimensional soliton equations

AIP Advances, 2013
The (2+1)-dimensional Maccari and nonlinear Schrödinger equations are reduced to a nonlinear ordinary differential equation (ODE) by using a simple transformation, various solutions of the nonlinear ODE are obtained by using extended F-expansion and ...
Hitender Kumar, Fakir Chand
doaj   +1 more source