Hyperbolic Systems of Conservation Laws - Viscous Conservation Laws - Applications
守恒定律的双曲系统 - 粘性守恒定律 - 应用
基本信息
- 批准号:0072496
- 负责人:
- 金额:$ 7.29万
- 依托单位:
- 依托单位国家:美国
- 项目类别:Standard Grant
- 财政年份:2000
- 资助国家:美国
- 起止时间:2000-07-15 至 2001-04-30
- 项目状态:已结题
- 来源:
- 关键词:
项目摘要
NSF Award Abstract - DMS-0072496Mathematical Sciences: Hyperbolic Systems of Conservation Laws - Viscous Conservation Laws - ApplicationsAbstract0072496 TrivisaThis research deals with the general areas of hyperbolic conservation laws and viscous conservation laws. The first set of questions concerns the well-posedness of solutions tohyperbolic systems of conservation laws with large initial data, the uniqueness and regularity of solutions, and the study of some hyperbolic systems of conservation laws in several space dimensions. The second set of questions lies in the area of viscous conservation laws and deals with the study of the compressible Navier-Stokes equations with applications in fluid dynamics and combustion theory. The main objective of this research project is to initiate a systematic investigation of the qualitative behavior of solutions to general multidimensional Navier-Stokes equations with large initial data.This is interdisciplinary research, lying on the interface between continuum physics and the theory of hyperbolic (and viscous) conservation laws. The investigator studies partial differential equations arising in continuum physics with the expectation that the underlying physical structure will direct the analysis, while in return the mathematical analysis of some nonlinear partial differential equations will further the understanding of continuum physics.
NSF奖摘要-DMS-0072496数学科学:双曲守恒律系统-粘性守恒律-应用摘要0072496 TriVisa这项研究涉及双曲守恒律和粘性守恒律的一般领域。第一组问题涉及具有大初始数据的双曲型守恒律组的解的适定性,解的唯一性和正则性,以及在多个空间维度上的一些双曲型守恒律组的研究。第二组问题涉及粘性守恒定律,涉及可压缩N-S方程的研究及其在流体力学和燃烧理论中的应用。这个研究项目的主要目的是系统地研究具有大初始数据的一般多维Navier-Stokes方程解的定性行为。这是一项跨学科的研究,位于连续介质物理和双曲(和粘性)守恒律理论之间的界面上。研究者研究了连续体物理中的偏微分方程式,期望基本的物理结构将指导分析,而一些非线性偏微分方程式的数学分析将进一步加深对连续体物理的理解。
项目成果
期刊论文数量(0)
专著数量(0)
科研奖励数量(0)
会议论文数量(0)
专利数量(0)
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Konstantina Trivisa其他文献
On the Motion of a Viscous Compressible Radiative-Reacting Gas
- DOI:
10.1007/s00220-006-1534-7 - 发表时间:
2006-03-09 - 期刊:
- 影响因子:2.600
- 作者:
Donatella Donatelli;Konstantina Trivisa - 通讯作者:
Konstantina Trivisa
On a free boundary problem for polymeric fluids: global existence of weak solutions
- DOI:
10.1007/s00030-017-0475-5 - 发表时间:
2017-08-05 - 期刊:
- 影响因子:1.200
- 作者:
Donatella Donatelli;Konstantina Trivisa - 通讯作者:
Konstantina Trivisa
Konstantina Trivisa的其他文献
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{{ truncateString('Konstantina Trivisa', 18)}}的其他基金
RTG: The Mathematics of Quantum Information Science
RTG:量子信息科学的数学
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2231533 - 财政年份:2023
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$ 7.29万 - 项目类别:
Continuing Grant
On the Dynamics of Nonlinear Systems in Applied Sciences: From Theory, Computations, and Experiments to Insights
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2008568 - 财政年份:2020
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$ 7.29万 - 项目类别:
Standard Grant
On the Dynamics of Nonlinear Systems in Applied Sciences
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- 批准号:
1614964 - 财政年份:2016
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Standard Grant
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- 批准号:
1211519 - 财政年份:2012
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$ 7.29万 - 项目类别:
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1109397 - 财政年份:2011
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$ 7.29万 - 项目类别:
Standard Grant
On the Dynamics, Structure and Stability of Certain Nonlinear Systems in Applied Sciences
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- 批准号:
0807815 - 财政年份:2008
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具有近序和向列序的系统面临的挑战
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Standard Grant
PECASE: Systems of Conservation Laws and Related Models in Applied Sciences - Math Awareness and Outreach
PECASE:应用科学中的守恒定律体系和相关模型 - 数学意识和推广
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0239063 - 财政年份:2003
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$ 7.29万 - 项目类别:
Standard Grant
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守恒定律的双曲系统 - 粘性守恒定律 - 应用
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Standard Grant
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