Creation Operators in the Problem of Localized Solutions of the Linearized Shallow Water Equations with Regular and Singular Characteristics

S. A. Sergeev; A. A. Tolchennikov

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Creation Operators in the Problem of Localized Solutions of the Linearized Shallow Water Equations with Regular and Singular Characteristics

机译：具有正则和奇异特征的线性化浅水方程的局部解问题中的创造算子

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摘要

We study the wave part of a localized solution of the linear system of shallow water equations. Given a relationship between initial conditions, the relationship between the corresponding solutions is found.

机译：我们研究了浅水方程线性系统局部解的波部分。给定初始条件之间的关系，可以找到相应解之间的关系。

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《Mathematical notes》 |2016年第6期|852-861|共10页
作者
S. A. Sergeev; A. A. Tolchennikov;
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作者单位

Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, Russia,Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow Oblast, Russia;

Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, Russia,Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow Oblast, Russia;

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正文语种 eng
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关键词
linear hyperbolic system; linearized shallow water equations; localized asymptotic solution; creation operator;

机译：线性双曲系统线性化浅水方程;局部渐近解创建运算符;

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1. Analytic-Numerical Description of Asymptotic Solutions of a Cauchy Problem in a Neighborhood of Singularities for a Linearized System of Shallow-Water Equations [J] . D. A. Lozhnikov Russian journal of mathematical physics . 2012,第1期

机译：浅水方程线性化系统在奇点附近的柯西问题的渐近解的解析数值描述
2. Behavior near the focal points of asymptotic solutions to the Cauchy problem for the linearized shallow water equations with initial localized perturbations [J] . Dobrokhotov S. Yu., Tirozzi B., Vargas C. A. Russian journal of mathematical physics . 2009,第2期

机译：具有初始局部扰动的线性浅水方程组Cauchy问题渐近解的焦点附近的行为
3. Localized wave and vortical solutions to linear hyperbolic systems and their application to linear shallow water equations [J] . Dobrokhotov SY, Shafarevich AI, Tirozzi B Russian journal of mathematical physics . 2008,第2期

机译：线性双曲系统的局部波和涡旋解及其在线性浅水方程中的应用
4. Dispersion Analysis of Operator Splittings in the Linearized Shallow Water Equations [C] . ágnes Havasi International Conference on Large-Scale Scientific Computing . 2006

机译：线性化浅水方程中操作员分裂的分散分析
5. Partially regular and singular solutions to the Landau-Lifshitz (Gilbert) equations. [D] . Ko, Yueh Joy. 2004

机译：Landau-Lifshitz（Gilbert）方程的部分正则和奇异解。
6. Delayed singularity formation for solutions of nonlinear partial differential equations in higher dimensions [O] . Fritz John 1976

机译：高维非线性偏微分方程解的延迟奇异性形成。
7. Some remarks on singular solutions of nonlinear elliptic equations. III: viscosity solutions, including parabolic operators [O] . Caffarelli, Luis, Li, YanYan, Nirenberg, Louis 2011

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8. THE ASYMPTOTIC SOLUTION OF LINEAR SECOND ORDER DIFFERENTIAL EQUATIONS IN A DOMAIN CONTAINING A TURNING POINT AND REGULAR SINGULARITY THE ASYMPTOTIC EXPANSION OF LEGENDRE FUNCTIONS OF LARGE DEGREE AND ORDER [R] . R. C. THORNE 1956

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Creation Operators in the Problem of Localized Solutions of the Linearized Shallow Water Equations with Regular and Singular Characteristics

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