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| A FREE BOUNDARY PROBLEM FOR ONE-DIMENSIONAL EQUATIONS OF A VISCOUS GAS |
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Citation： |
Wang Junyu,Jiang Jie,Lv Xianrui.A FREE BOUNDARY PROBLEM FOR ONE-DIMENSIONAL EQUATIONS OF A VISCOUS GAS[J].Chinese Annals of Mathematics B,1993,14(4):411~418 |
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Net amount： 781 |
Authors： |
Wang Junyu; Jiang Jie;Lv Xianrui |
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| Abstract： |
Utilizing the unique solution (w(s), z(s)) to the singular nonlinear two-point boundary value problem (1.11), the authors construct a unique self-similar solution $(\phi(t),v(x,t),u(x,t))=(Yt,v(x/t),u(x/t))$ to the free boundary problem (1.1)-(1.6), in which (1.1) and (1.2) are onedimensional equations of a viscous gas. The arguments are elementary which involve only the use of the shooting method and the integral representations for (w(s),z(s)). |
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