| CAUCHY PROBLEM FOR LINEARIZED SYSTEM OF TWO-DIMENSIONAL ISENTROPIC FLOW WITH AXISYMMETRICAL INITIAL DATA IN GAS DYNAMICS |
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| 引用本文： | Zhang Hua Sheng Wancheng. CAUCHY PROBLEM FOR LINEARIZED SYSTEM OF TWO-DIMENSIONAL ISENTROPIC FLOW WITH AXISYMMETRICAL INITIAL DATA IN GAS DYNAMICS[J]. 高校应用数学学报(英文版), 2006, 21(1): 30-40. DOI: 10.1007/s11766-996-0019-y |
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| 作者姓名： | Zhang Hua Sheng Wancheng |
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| 作者单位： | [1]Tianjin Institute of Urban Construction, Tianjin 300384, China [2]Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072 ,China [3]Department of Mathematics, Shanghai University, Shanghai 200436,China |
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| 基金项目： | Supported by the National Natural Science Foundation of China （10271072）, |
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| 摘 要： | §1IntroductionIn the present paper,we are interested in solving the Cauchy problem for linearizedsystem of two-dimensional isentropic flow with initial data in gas dynamicsρt+ρ0xu+yv=0,ut+p′(ρρ00)xρ=0,vt+p′(ρ0ρ0)yρ=0,(1.1)t=0:(ρ,u,v)=(ρ0(r),u0(r),v0(r)),(1.2)whereρis the density,(u,v)is the velocity,ρ0is a positive constant,p=p(ρ)is theequation of state satisfying p′(ρ0)>0,(r,θ)is the polar coordinate such thatx=rcosθ,y=rsinθ,0≤r<+∞,0≤θ≤2π…
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| 关 键 词： | Cauchy问题 初始数据 线性化系统 等熵流程 |
| 收稿时间： | 2004-12-01 |
Cauchy problem for linearized system of two-dimensional isentropic flow with axisymmetrical initial data in gas dynamics |
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| Zhang Hua,Sheng Wancheng. Cauchy problem for linearized system of two-dimensional isentropic flow with axisymmetrical initial data in gas dynamics[J]. Applied Mathematics A Journal of Chinese Universities, 2006, 21(1): 30-40. DOI: 10.1007/s11766-996-0019-y |
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| Authors: | Zhang Hua Sheng Wancheng |
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| Affiliation: | (1) Tianjin Institute of Urban Construction, 300384 Tianjin, China;(2) Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, 200072 Shanghai, China;(3) Department of Mathematics, Shanghai University, 200436 Shanghai, China |
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| Abstract: | The explicit solution to Cauchy problem for linearized system of two-dimensional isentropic flow with axisymmetrical initial data in gas dynamics is given. |
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| Keywords: | Cauchy prohlem with axisymmetrical initial data linearized system 2-D isentropic flow explicit solution. |
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