首页> 外文学位 >Periodic structure in two-dimensional Riemann problems for Hamilton-Jacobi equations.

【24h】

Periodic structure in two-dimensional Riemann problems for Hamilton-Jacobi equations.

机译：Hamilton-Jacobi方程的二维Riemann问题中的周期结构。

获取原文

获取原文并翻译 | 示例

页面导航

摘要
著录项
相似文献
相关主题

摘要

This dissertation investigates the structure of two-dimensional Riemann problems for Hamilton-Jacobi equations. We show that it is possible for the Riemann solution to have closed characteristic orbits, enclosing furthermore a periodic sonic structure, which in turn encloses a parabolic structure. This investigation was prompted by a numerical construction of a Riemann solution for a particular example displaying an even richer internal structure. Since there are no (known) robust methods to numerically construct two-dimensional Riemann solutions, this dissertation shows that examples of Riemann problems with Riemann solutions of comparable complexity do in fact exist.

机译：本文研究了汉密尔顿-雅各比方程的二维黎曼问题的结构。我们表明，黎曼解有可能具有封闭的特征轨道，此外还包含周期性的声波结构，而声波结构又包围了抛物线结构。黎曼解决方案的数值构造对一个特定示例显示了更加丰富的内部结构，从而促进了这一研究。由于没有（已知）可靠的方法来数值构造二维Riemann解，因此，本文表明确实存在具有可比复杂性的Riemann解的Riemann问题的例子。

著录项

作者
Pinezich, John Dominick.;
展开▼
作者单位

State University of New York at Stony Brook.;

展开▼
授予单位 State University of New York at Stony Brook.;
学科 Mathematics.
学位 Ph.D.
年度 1998
页码 88 p.
总页数 88
原文格式 PDF
正文语种 eng
中图分类
关键词

相似文献

外文文献
中文文献
专利

1. Vortex structures with complex points singularities in two-dimensional Euler equations. New exact solutions [J] . Tur A., Yanovsky V., Kulik K. Physica, D. Nonlinear phenomena . 2011,第13期

机译：二维Euler方程中具有复点奇点的涡旋结构。新的精确解决方案
2. Two-dimensional sediment transport models in shallow water equations. A second order finite volume approach on unstructured meshes [J] . M.J. Castro Diaz, E.D. Fernandez-Nieto, A.M. Ferreiro, Computer Methods in Applied Mechanics and Engineering . 2009,第33a36期

机译：浅水方程中的二维泥沙运移模型。非结构化网格上的二阶有限体积方法
3. Fine structures for the solutions of the two-dimensional Riemann problems by high-order WENO schemes [J] . Jung Chang-Yeol, Thien Binh Nguyen Advances in computational mathematics . 2018,第1期

机译：高阶WENO方案的二维riemann问题解决方案的精细结构
4. The Riemann-Hilbert problem method in the theory of electromagnetic wave diffraction by periodic structures [C] . Khoroshun, V.V. . 2005

机译：周期结构电磁波衍射理论中的黎曼-希尔伯特问题方法
5. Comparison of Unit Cell Geometry for Bloch Wave Analysis of Two-Dimensional Periodic Beam Structures [D] . Marneni, Likitha. 2018

机译：二维周期光束结构的单位细胞几何学的比较
6. Conjugate Nets Conformal Structure and Interior Transformations on Open Riemann Surfaces [O] . James Jenkins, Marston Morse 1953

机译：开放黎曼曲面上的共轭网共形结构和内部变换
7. Two-dimensional sediment transport models in shallow water equations. A second order finite volume approach on unstructured meshes [O] . Castro-Díaz, M.J., Fernández-Nieto, Enrique D., Ferreiro Ferreiro, Ana María, 2009

机译：浅水方程中的二维泥沙运移模型。非结构化网格上的二阶有限体积方法
8. Fabrication and Characterization of Two-Dimensional Periodic Plasmonic Nanostructures. [R] . Grande, M., Stomeo, T. 2012

机译：二维周期等离子体纳米结构的制备与表征。

Periodic structure in two-dimensional Riemann problems for Hamilton-Jacobi equations.

摘要

著录项

相似文献

相关主题

期刊订阅