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Two kinds of blowup mechanism of quasilinear hyperbolic system. (Chinese. English summary) Zbl 1061.35113

Summary: For general initial values, a quasilinear hyperbolic system does not always have a global classsical solution. If there is no global classical solution, the solution blows up in finite time. This paper mostly considers some kind of a special Burgers’ equation and discusses the lifespan of its classical solution and the order between geometric blowup and ordinary differential blowup when the solution blows up.

MSC:

35Q53 KdV equations (Korteweg-de Vries equations)
35L60 First-order nonlinear hyperbolic equations
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