Blow-Up of the Hyperbolic Burgers Equation
Blow-Up of the Hyperbolic Burgers Equation
复制标题
双曲伯格斯方程的放大
DOI：
--
复制
发表时间：
2007
期刊：
影响因子：
--
通讯作者：
C. Escudero
中科院分区：
文献类型：
--
作者：
C. Escudero
微观动力学系统的记忆效应有时通过在宏观流体动力学方程中引入二阶时间导数来模拟。一个典型的例子是双曲修改的伯格斯方程，已被引入澄清的相互作用的双曲性和非线性流体动力学演化。以前的研究表明，有限时间爆破的这个方程，在这里，我们提出了一个严格的证明这一事实。
The memory effects on microscopic kinetic systems have been sometimes modelled by means of the introduction of second order time derivatives in the macroscopic hydrodynamic equations. One prototypical example is the hyperbolic modification of the Burgers equation, that has been introduced to clarify the interplay of hyperbolicity and nonlinear hydrodynamic evolution. Previous studies suggested the finite time blow-up of this equation, and here we present a rigorous proof of this fact.