“The aim of the present monograph is to introduce methods from Fourier analysis, and in particular techniques based on the Littlewood–Paley decomposition, for the solution of nonlinear partial differential equations. … The presentation is fairly self-contained and only requires a solid background ...
https://www.youtube.com/watch?v=5Exf55xsmzADecoupling is a recent development in Fourier analysis, which has applications in harmonic analysis, PDE, and number theory. We survey some applications of d, 视频播放量 927、弹幕量 0、点赞数 29、投硬币枚数 10、
Mathematics - Analysis of PDEsIn the last three decades, Fourier analysis methods have known a growing importance in the study of linear and nonlinear PDE's. In particular, techniques based on Littlewood-Paley decomposition and paradifferential calculus have proved to be very efficient for ...
[ Math.Math-Ap ] Mathematics [Math]/Analysis Of Pdes [Math.Ap] Language English License Unknown External links Full record on hal-upec-upem.archives-ouvertes.fr Other sources for this publication Fourier Analysis and Nonlinear Partial Differential Equations Source HAL-ENAC Date Jan 03,...
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In the last three decades, Fourier analysis methods have known a growing importance in the study of linear and nonlinear PDE's. In particular, techniques b... R Danchin 被引量: 23发表: 2015年 Fourier analysis methods for compressible flows Since the 80's, Fourier analysis methods have known...
(PDE). Evidently, there is no universal theory for the solution of nonlinear PDEs, but there exists a distinguished class of nonlinear equations that can be solved with a mathematical rigour: the so-calledintegrable systems. The history of integrable PDEs started in the 1960s when Gardner et ...
Fig. 1. The real parts of u and uN on Γ for wave number k=7 with different noise levels for Example 1. 5. Conclusions In this paper, we study the numerical analysis for the Fourier–Bessel method to solve the BVP connected with the Helmholtz equation. Convergence and stability are anal...
Finite volume methods for multi-symplectic PDEs[J].BIT,2000,40(3):559-582. [5] Chen J B, Qin M Z. Multi-symplectic Fourier pseudospetral method for the nonlinear shrödinger equation[J].Trans Numer Anal,2001,12(1):193-204. [6] Moore B, Reich S. Backward error analysis for ...
Moreover, here two different stagnation point flow (SPF) categories termed orthogonal and oblique. The flow may arise as inviscid, steady, and in several other forms within the stagnation point region. At this point of view, Hiemenz [6] introduced the stagnant point stream analysis and ...