【摘要】 相变系统随时间的演化过程是一个有着广泛应用背景的重要理论问题,其核心困难在于椭圆不稳定性.介绍了两类处理方法,即广义熵条件法和加入耗散的方法.对于后者,介绍了高阶耗散与低阶耗散方面的一些进展,理论和数值研究揭示了耗散与椭圆不稳定性之间非线性相互作用的机理和复杂现象.更多还原

【Abstract】 Evolution of a phase transition system is an important topic with many applications. The crucial difficulty lies in the instability of ellipticity. In this paper, we briefly discuss two types of approaches to resolve this difficulty, i.e. to employ generalized entropy conditions, or to include dissipation mechanisms. For the latter one, we review some recent progresses for systems with both high-order and low-order dissipations. Theoretical and numerical investigations reveal the mechanism and the complex pattern evolving from the nonlinear interaction between dissipations and ellipticity.更多还原