Near-Linear Dynamics in KdV with Periodic Boundary Conditions

被引：0

作者：

Erdogan, M. B. ^{[1
]}

Tzirakis, N. ^{[1
]}

Zharnitsky, V. ^{[1
]}

机构：

[1] Univ Illinois, Dept Math, Urbana, IL 61801 USA

来源：

NUMERICAL ANALYSIS AND APPLIED MATHEMATICS, VOLS 1 AND 2 | 2009年 / 1168卷

关键词：

Korteweg de Vries equation; normal form; high frequency solutions;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Near linear evolution in Korteweg de Vries (KdV) equation with periodic boundary conditions is established under the assumption of high frequency initial data. This result is obtained by the method of normal form reduction.

引用

页码：1248 / 1249

页数：2

共 50 条

[1] Near-linear dynamics in KdV with periodic boundary conditions
Erdogan, M. B.
Tzirakis, N.
Zharnitsky, V.
[J]. NONLINEARITY, 2010, 23 (07) : 1675 - 1694
[2] Normal form approach to near-linear dynamics of modified KdV equation
Yoon, Haewon
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2019, 475 (01) : 1 - 12
[3] Near-linear algebra
Marques, Sophie
Moore, Daniella
[J]. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, 2023,
[4] Constant-Factor Approximation of Near-Linear Edit Distance in Near-Linear Time For
Brakensiek, Joshua
Rubinstein, Aviad
[J]. PROCEEDINGS OF THE 52ND ANNUAL ACM SIGACT SYMPOSIUM ON THEORY OF COMPUTING (STOC '20), 2020, : 685 - 698
[5] Turbulence Structure of Stable Boundary Layers with a Near-Linear Temperature Profile
Yuji Ohya
Takanori Uchida
[J]. Boundary-Layer Meteorology, 2003, 108 : 19 - 38
[6] Turbulence structure of stable boundary layers with a near-linear temperature profile
Ohya, Y
Uchida, T
[J]. BOUNDARY-LAYER METEOROLOGY, 2003, 108 (01) : 19 - 38
[7] Periodic boundary conditions for KdV-Burgers equation on an interval
Samokhin, Alexey
[J]. JOURNAL OF GEOMETRY AND PHYSICS, 2017, 113 : 250 - 256
[8] The KdV equation under periodic boundary conditions and its perturbations
Guan, Huang
Kuksin, Sergei
[J]. NONLINEARITY, 2014, 27 (09) : R61 - R88
[9] Quasi-linear dynamics in nonlinear Schrodinger equation with periodic boundary conditions
Erdogan, M. Burak
Zharnitsky, Vadim
[J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2008, 281 (03) : 655 - 673
[10] Tournaments with near-linear transitive subsets
Choromanski, Krzysztof
Chudnovsky, Maria
Seymour, Paul
[J]. JOURNAL OF COMBINATORIAL THEORY SERIES B, 2014, 109 : 228 - 249

← 1 2 3 4 5 →