| ON THE UNIQUENESS OF THE WEAK SOLUTIONS OF A QUASILINEAR HYPERBOLIC SYSTEM WITH A SINGULAR SOURCE TERM |
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| 作者姓名： | J. P. DIAS M. FIGUEIRA |
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| 作者单位： | Dedicated to the memory of Jacques-Louis Lions，Dedicated to the memory of Jacques-Louis Lions |
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| 基金项目： | Project supported by the FCT and FEDER |
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| 摘 要： | This paper is a continuation of the authors'previous paper1].In this paper the authorsprove,assuming additional conditions on the initial data,some results about the existence anduniqueness of the entropy weak solutions of the Cauchy problem for the singular hyperbolicsystem a_t+(au)_x_2au/x=0,u_t+1/2(a~2+u~2)_x=0,x>0,t≥0.
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| 关 键 词： | 唯一性 弱熵解 拟线性双曲系统 奇异源项 Cauchy问题 Riemann边分 抛物系统 |
| 收稿时间： | 2/2/2020 12:00:00 AM |
ON THE UNIQUENESS OF THE WEAK SOLUTIONS OF A QUASILINEAR HYPERBOLIC SYSTEM WITH A SINGULAR SOURCE TERM |
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| J. P. DIAS,M. FIGUEIRA.ON THE UNIQUENESS OF THE WEAK SOLUTIONS OF A QUASILINEAR HYPERBOLIC SYSTEM WITH A SINGULAR SOURCE TERM[J].Chinese Annals of Mathematics,Series B,2002,23(3):317-324. |
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| Authors: | J P DIAS and M FIGUEIRA |
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| Institution: | Dedicated to the memory of Jacques-Louis Lions |
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| Abstract: | This paper is a continuation of the authors' previous paper 1]. In this paper the authors prove, assuming additional conditions on the initial data, some results about the existence and uniqueness of the entropy weak solutions of the Cauchy problem for the singular hyperbolic system |
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| Keywords: | Cauchy problem Weak solution Quasilinear hyperbolic system |
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