论文标题
具有通用来源的非线性双曲系统解决方案的奇异性形成
Formation of singularities in solutions to nonlinear hyperbolic systems with general sources
论文作者
论文摘要
我们考虑具有一般来源的非线性双曲线系统，并证明，对于适当选择的平滑初始数据，相关的$ c^1 $ -SOUTION $ u $的寿命不能是无限的。我们采用F. John（1974）和L.Hörmander（1987）的想法，以表明$ u $的衍生产品$ u_x $在有限的时间内无限。
We consider nonlinear hyperbolic systems with a general source and prove that for appropriately chosen smooth initial data the lifespan of the associated $C^1$-solution $u$ cannot be infinite. We employ ideas of F. John (1974) and L. Hörmander (1987) to show that the derivative $u_x$ of $u$ becomes unbounded in finite time.
