等熵磁气体动力学方程组的柯西问题

Cauchy problem for one-dimensional isentropic magnetogasdynamics

  • 摘要: 研究等熵磁气体动力学方程组的柯西问题.在初值是连续且分片光滑函数的假设下,首先证明了当初始时刻不出现真空时,解中也不会出现真空.其次,证明了该柯西问题存在唯一的连续且分片光滑的整体解.

     

    Abstract: Cauchy problem for isentropic magnetogasdynamics is studied.Under hypotheses of continuous and piecewise smooth initial data,when there is no vacuum at the initial time,it is firstly proven that the vacuum never appears in solutions.Second,it is proven that the Cauchy problem admits a unique global continuous and piecewise smooth solution.

     

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