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2018 Volume 43 Issue 4
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LI Xiao-ying LIN Chun-jin XU Guo-jing. On Cauchy Problem for a Burgers Equation with Damping Term[J]. Journal of Southwest China Normal University(Natural Science Edition), 2018, 43(4): 20-23.
Citation: LI Xiao-ying LIN Chun-jin XU Guo-jing. On Cauchy Problem for a Burgers Equation with Damping Term[J]. Journal of Southwest China Normal University(Natural Science Edition), 2018, 43(4): 20-23.

On Cauchy Problem for a Burgers Equation with Damping Term

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  • The global existence and the finite time blowup of the solutions to the Cauchy problem of Burgers equation with damping term are studied in this paper by the method of characteristics.The solutions are expressed by the initial data.The first order partial derivatives about time and space variables of the solution are obtained by using implicit functions, and the necessary and sufficient conditions for blowup of the solutions are given.
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    沈阳化工大学材料科学与工程学院 沈阳 110142

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On Cauchy Problem for a Burgers Equation with Damping Term

Abstract: The global existence and the finite time blowup of the solutions to the Cauchy problem of Burgers equation with damping term are studied in this paper by the method of characteristics.The solutions are expressed by the initial data.The first order partial derivatives about time and space variables of the solution are obtained by using implicit functions, and the necessary and sufficient conditions for blowup of the solutions are given.

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