Zobrazeno 1 - 10
of 62 404
pro vyhledávání: '"Korteweg-de Vries"'
Autor:
Khalique, Chaudry Masood1,2 Masood.Khalique@nwu.ac.za, Adeyemo, Oke Davies1, Monashane, Mbeki Shorn1
Publikováno v:
Advanced Mathematical Models & Applications. 2024, Vol. 9 Issue 2, p147-172. 26p.
Autor:
Naumkina, Anna, Plaza, Ramón G.
A family of generalized Korteweg-de Vries-Burgers equations in one space dimension with a nonlinear source is considered. The purpose of this contribution is twofold. On one hand, the local well-posedness of the Cauchy problem on periodic Sobolev spa
Externí odkaz:
http://arxiv.org/abs/2412.14041
Autor:
Titi, Edriss S., Victor, Collin
In this work, we study the applicability of the Azouani-Olson-Titi (AOT) nudging algorithm for continuous data assimilation to evolutionary dynamical systems that are not dissipative. Specifically, we apply the AOT algorithm to the Korteweg de-Vries
Externí odkaz:
http://arxiv.org/abs/2411.08273
Autor:
Saad, Khaled M.1 (AUTHOR) khaledma_sd@hotmail.com, Srivastava, Rekha2 (AUTHOR) rekhasrivastava@uvic.ca
Publikováno v:
Symmetry (20738994). Feb2024, Vol. 16 Issue 2, p242. 17p.
Autor:
Yousif, Majeed A.1 (AUTHOR) majeed.yousif@uoz.edu.krd, Hamasalh, Faraidun K.2 (AUTHOR), Zeeshan, Ahmad3 (AUTHOR), Abdelwahed, Mohamed4 (AUTHOR)
Publikováno v:
PLoS ONE. 6/26/2024, Vol. 19 Issue 6, p1-18. 18p.
We study the recently-proposed hyperbolic approximation of the Korteweg-de Vries equation (KdV). We show that this approximation, which we call KdVH, possesses a rich variety of solutions, including solitary wave solutions that approximate KdV solito
Externí odkaz:
http://arxiv.org/abs/2412.17117
We study travelling wave solutions of a generalised Korteweg-de Vries-Burgers equation with a non-local diffusion term and a concave-convex flux. This model equation arises in the analysis of a shallow water flow by performing formal asymptotic expan
Externí odkaz:
http://arxiv.org/abs/2412.03209
Autor:
McConnell, Ryan, Oh, Seungly
We utilize a modulation restricted normal form approach to establish local well-posedness of the periodic Korteweg-de Vries equation in $H^s(\mathbb{T})$ for $s> -\frac23$. This work creates an analogue of the mKdV result by Nakanishi, Takaoka, and T
Externí odkaz:
http://arxiv.org/abs/2411.15069
Autor:
Höfer, Fabian, Nikov, Niko A.
We prove logarithmic growth bounds on Sobolev norms of the focusing mass-critical NLS and gKdV equations on the torus, which hold almost surely under the focusing Gibbs measure with optimal mass threshold constructed by Oh, Sosoe, and Tolomeo. More p
Externí odkaz:
http://arxiv.org/abs/2412.08630
Autor:
Hohloch, Sonja, Zadra, Federico
These lecture notes grew out of notes for courses around Integrable PDEs and the KdV equation given by the authors during the past five years at the University of Antwerp (Belgium). Comments and suggestions are welcome.
Comment: Lecture notes
Comment: Lecture notes
Externí odkaz:
http://arxiv.org/abs/2411.18504