Supplementary Conditions for the Tricomi Equation

J. W. Montgomery

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Supplementary Conditions for the Tricomi Equation

机译：Tricomi方程的补充条件

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摘要

A new type of supplementary conditions for the Tricomi equation is introduced. These new "ladder conditions" specify information on the interior of a mixed domain. Numerical experiments are presented, and stability is observed for ladder conditions while instability is observed for closed Dirichlet conditions.

机译：介绍了Tricomi方程的一种新型补充条件。这些新的“阶梯条件”指定了混合域内部的信息。提出了数值实验，并在梯形条件下观察到稳定性，而在封闭Dirichlet条件下观察到不稳定。

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来源
《Communications on applied nonlinear analysis》 |2014年第1期|87-99|共13页
作者
J. W. Montgomery;
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作者单位

University of North Texas Department of Mathematics 1155 Union Circle #311430 Denton, TX, USA 76203-5017;

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原文格式 PDF
正文语种 eng
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关键词
Tricomi equation; ladder conditions; boundary conditions; mixed type; stability; existence and uniqueness;

机译：Tricomi方程;阶梯条件;边界条件;混合型稳定性;存在与独特;

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1. Problem with Lacking Tricomi Condition on a Characteristic and an Analog of the Frankl Condition on a Segment of the Degeneration Line for a Class of Mixed Type Equations [J] . M. Mirsaburov Differential equations: A translation of differensial'nye uraveniya . 2014,第1期

机译：一类混合型方程在特征上缺乏Tricomi条件和在退化线段上的Frankl条件缺乏模拟的问题
2. A problem with tricomi and frankl conditions on the characteristic for a class of mixed-type equations [J] . Mirsaburov M., Khudzhaev Zh. Russian mathematics . 2013,第1期

机译：一类混合型方程的特征上的特里米和弗兰克条件问题
3. Combined problem with the Tricomi condition and a shift condition on internal characteristics for the Gellerstedt equation with a singular coefficient [J] . Mirsaburova Gulbakhor M. Differential equations: A translation of differensial'nye uraveniya . 2015,第5期

机译：具有奇异系数的Gellerstedt方程的Tricomi条件和内部特征的转移条件的组合问题
4. Effect of Low-Boom Waveform on Focus Boom Using Lossy Nonlinear Tricomi Equation Analysis [C] . Masashi Kanamori, Atsushi Hashimoto, Takashi Aoyama, AIAA SciTech forum;Aerospace sciences meeting . 2014

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5. Solution of the lossy nonlinear Tricomi equation with application to sonic boom focusing [D] . Salamone, Joseph A., III. 2013

机译：有损非线性Tricomi方程的求解及其在声波聚焦中的应用
6. Use of a system of differential equations to analyze the functioning of a catalytic bio macromolecule under non equilibrium conditions [O] . Y.M. Barabash, T.V. Serdenko, P.P. Knox, 2019

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7. Two generalized Tricomi equations [O] . Fabio Paronetto 2021

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8. Some Remarks on the Numerical Solution of Tricomi-Type Equations [R] . Chu, C. K., Xiang, L. W., Yao, Z. K. 1981

机译：关于Tricomi型方程数值解的几点注记

Supplementary Conditions for the Tricomi Equation

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