Hunter saxton equation

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August undefined, 2024

Web8 apr. 2024 · The third famous integrable member for ( 1.2) is the following Hunter–Saxton ( HS) equation received much attention: \begin {aligned} (u_t+uu_x)_x=\frac {1} {2}u_x^2 … WebThe fifth-order Kudryashov–Sinelshchikov–Olver equation is a nonlinear partial differential equation, which describes the interactions between short waves and long waves. Here, we prove the global existence of solutions for the Cauchy problem associated with this equation. Communicated by R. Colombo Keywords:

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Web3 sep. 1998 · For instance we present a transformation between the Harry-Dym equation and the extended Harry-Dym equation. Moreover, we describe a relationship between … Webas x! 1 , the Hunter-Saxton equation is bi-Hamiltonian [HZ1]. If D 1 is the skew-adjoint anti-derivative operator given by (D 1f)(x) = 1 2 Z x 1 Z 1 x f(x)dx; f2 D(IR); the rst … hbk1200se

Blow-up analysis for a periodic two-component μ-Hunter–Saxton …

Web1 jan. 2016 · The Hunter–Saxton equation describes the geodesic flow on a sphere, J. Geom. Phys., 2007, 57, 2049-2064. 10.1016/j.geomphys.2007.05.003 Search in Google … http://cdr.ins.sjtu.edu.cn/seminars/2013/06/04/bilinearizations-to-the-camassa-holm-equation-degasperis-procesi-equation-and-their-short-wave-models/315 Web4 jun. 2013 · If time permits, we will show the connections among two-component CH equation, two-component short wave model of the CH equation, the CH equation and … essugo zerozero

$arXiv:2105.01221v2 [math.AP] 5 May 2024$

亨特 - 萨克斯顿方程_百度百科

WebThe Hunter-Saxton (HS) equation uxt = 2uuxx + u 2 x (1) was proposed by Hunter and Saxton as an asymptotic model for the propagation of weakly nonlinear unidirectional waves [7]. Its integrability was proved by Hunter and Zheng [8] by studying the nonlocal evolution equation ut = 2uux −D−1 x u 2 x, (2) where D−1 xis the inverse of the ... WebConvergent difference schemes for the Hunter–Saxton equation HTML articles powered by AMS MathViewer by H. Holden, K. H. Karlsen and N. H. Risebro PDF Math. Comp. 76 … hbjo denis lambertWeb亨特-萨克斯顿方程是一个模拟向列型液晶中波动传播的非线性偏微分方程，它由加州大学戴维斯分校（University of California, Davis）的杰出教授约翰·亨特（John Hunter）和新 … es sveikatos kortele

"Web15 feb. 2024 · A Lipschitz metric for the Hunter–Saxton equation José Antonio Carrillo Department of Mathematics, Imperial College London, South Kensington Campus, … " - Hunter saxton equation

Hunter saxton equation

Web7 sep. 2006 · There are two types of waves, which we call splay and twist waves. Weakly nonlinear splay waves are described by the quadratically nonlinear Hunter-Saxton equation. Here, we show that weakly nonlinear twist waves are described by a new cubically nonlinear, completely integrable asymptotic equation. http://faculty.hust.edu.cn/liubin7/zh_CN/more/1659545/jsjjgd/index.htm

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Web8 nov. 2024 · The Hunter-Saxton equation have been considered for this study. Rubin-Graves type linearization process is used to linearize the nonlinear terms. The MCTB … WebHunter–Saxton equation. In mathematical physics, the Hunter–Saxton equation [1] is an integrable PDE that arises in the theoretical study of nematic liquid crystals. If the …

WebAfter discretizing the Hunter-Saxton equation in time by using (8), our next aim is to approximate the solution in space variable. For this purpose, we approx-imate wn 1 in … WebWe extend previous results providing an exact formula for the variance of a linear statistic for the Jellium model, ... Drinfeld-Sokolov-Wilson (DSW), and Hunter-Saxton equations.

WebThe Hunter–Saxton equation with noise Helge Holden NTNU Norwegian University of Science and Technology Joint work with Kenneth H. Karlsen (UiO) and Peter H.C. Pang … Web81. Lei Zhang and B.Liu, THE CAUCHY PROBLEM FOR AN INTEGRABLE GENERALIZED CAMASSA-HOLM EQUATION WITH CUBIC NONLINEARITY, Bull. Korean Math. Soc. …

WebThe Hunter–Saxton (HS) equationis a 1+ 1 dimensional,variational, partial differential equation(PDE),originallyintroducedasamodelforthepropagationofwavesinthedirector …

WebWe investigate the solutions of a generalized diffusion-like equation by considering a spatial and time fractional derivative and the presence of non-local ... A. Fractional Hunter … hbk adalah singkatan dariWebDerivation of the Hunter–Saxton equation. Hunter and Saxton investigated the case when viscous damping is ignored and a kinetic energy term is included in the model. Then the … es strategyWeb9 feb. 2024 · The Hunter–Saxton equation \begin {aligned} u_ {tx} = u\,u_ {xx}+ {\frac {1} {2}}\,u_x^2 \end {aligned} (1) was introduced in [ 12] to describe the nonlinear instability … hbjunWeb31 mrt. 2024 · The Hunter–Saxton equation ut+uux has a unique, global, weak, and conservative solution (u,μ), which is shown to be the Cauchy problem on the line. … essve varztaiWeb4 feb. 2024 · Rational solutions from Pad´e approximants for the generalized Hunter-Saxton equation H Aratyn 1, J F Gomes 2, D V Ruy 2 and A H Zimerman 2 1 Department of Physics, University of Illinois at Chicago, 845 W. Taylor St., Chicago, IL 60607-7059 2Instituto de F´ısica Te´orica-UNESP, Rua Dr Bento Teobaldo Ferraz 271, Bloco II, … hb kamerWebفي الفيزياء الرياضية، تكون معادلة هنتر-ساكستون (بالإنجليزية: Hunter–Saxton equation)‏ (+) =عبارة عن معادلة تفاضلية جزئية قابلة للتكامل التي تُطرح في الدراسة النظرية للبلورات السائلة الخيطية.إذا كانت الجزيئات في البلورة السائلة ... hbk akademieWebThe Hunter-Saxton (HS) equation uxt = 2uuxx + u 2 x (1) was proposed by Hunter and Saxton as an asymptotic model for the propagation of weakly nonlinear unidirectional … hbk adipositas