3. The Vanishing Viscosity Method of Quasilinear Hyperbolic System

2016 ◽  
pp. 233-414
Keyword(s):  
Hyperbolic System ◽  
Quasilinear Hyperbolic System ◽  
Viscosity Method ◽  
Vanishing Viscosity

scholarly journals Local Exponential $H^2$ Stabilization of a $2\times2$ Quasilinear Hyperbolic System Using Backstepping

2013 ◽  
Vol 51 (3) ◽  
pp. 2005-2035 ◽  
Author(s):  
Jean-Michel Coron ◽  
Rafael Vazquez ◽  
Miroslav Krstic ◽  
Georges Bastin
Keyword(s):  
Hyperbolic System ◽  
Quasilinear Hyperbolic System

scholarly journals Life-Span of Classical Solutions to Hyperbolic Inverse Mean Curvature Flow

2020 ◽  
Vol 2020 ◽  
pp. 1-12
Author(s):  
Zenggui Wang
Keyword(s):  
Cauchy Problem ◽  
Life Span ◽  
Hyperbolic System ◽  
Mean Curvature ◽  
Mean Curvature Flow ◽  
Curvature Flow ◽  
Classical Solutions ◽  
Quasilinear Hyperbolic System ◽  
Inverse Mean Curvature Flow ◽  
The Cauchy Problem

In this paper, we investigate the life-span of classical solutions to hyperbolic inverse mean curvature flow. Under the condition that the curve can be expressed in the form of a graph, we derive a hyperbolic Monge–Ampère equation which can be reduced to a quasilinear hyperbolic system in terms of Riemann invariants. By the theory on the local solution for the Cauchy problem of the quasilinear hyperbolic system, we discuss life-span of classical solutions to the Cauchy problem of hyperbolic inverse mean curvature.

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