| 具有泛函解的二维非线性双曲型守恒律组 |
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| 引用本文： | 胡家信.具有泛函解的二维非线性双曲型守恒律组[J].数学学报,1999,42(1):41-48. |
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| 作者姓名： | 胡家信 |
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| 作者单位： | 中国科学院武汉物理与数学所,武汉,430071 |
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| 基金项目： | 国家自然科学基金青年基金，中国科学院数学特别支持费资助 |
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| 摘 要： | 本文考虑初值是分片常数且间断线经过原点的一类二维非线性双曲型守恒律组．解包含一类新的波──称之为Dirac-接触波．本文给出了这种Dirac-接触波的熵条件，方程组的解可以视为上有界线性泛函.
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| 关 键 词： | 黎曼问题 守恒律 Dirac-接触波 |
| 修稿时间： | :1996-05-2 |
A Two-dimensional Hyperbolic System of Nonlinear Conservation Laws with Functional Solutions |
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| Hu Jiaxin.A Two-dimensional Hyperbolic System of Nonlinear Conservation Laws with Functional Solutions[J].Acta Mathematica Sinica,1999,42(1):41-48. |
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| Authors: | Hu Jiaxin |
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| Institution: | Hu Jiaxin(Wnhan Institute of Physics and Mathematics, Academia Sinica, Wuhan 430071. P. R. China)(Email: jxhu @wipm. whcnc. ac. cn) |
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| Abstract: | A two-dimensional hyperbolic system of nonlinear conservation laws was considered for any piecewise constant initial data having two discontinuity rays with the origin as vertex. One kind of new waves, which was labelled as the Dirac-contact wave, appeared in the solution. The entropy conditions for the Dirac-contact waves were given. The solutions on the Dirac-contact waves can be viewed as the bounded linear functionals on C(R2×R+). |
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| Keywords: | Riemann problem Conservation law Dirac-Contact wave |
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