scholarly journals Formation of finite-time singularities for nonlinear hyperbolic systems with small initial disturbances

2020 ◽  
Vol 61 (7) ◽  
pp. 071510
Author(s):  
Zhentao Jin ◽  
Yi Zhou
Keyword(s):  
Finite Time ◽  
Hyperbolic Systems ◽  
Time Singularities ◽  
Nonlinear Hyperbolic Systems

scholarly journals Finite Time Singularities for Hyperbolic Systems

2015 ◽  
Vol 47 (1) ◽  
pp. 758-785 ◽  
Author(s):  
Geng Chen ◽  
Tao Huang ◽  
Chun Liu
Keyword(s):  
Finite Time ◽  
Hyperbolic Systems ◽  
Time Singularities

scholarly journals Finite-time stabilization in optimal time of homogeneous quasilinear hyperbolic systems in one dimensional space

2020 ◽  
Vol 26 ◽  
pp. 119 ◽  
Author(s):  
Jean-Michel Coron ◽  
Hoai-Minh Nguyen
Keyword(s):  
Finite Time ◽  
Nonlinear Boundary ◽  
Dimensional Space ◽  
Hyperbolic Systems ◽  
Optimal Time ◽  
Local Boundary ◽  
Quasilinear Hyperbolic Systems ◽  
Non Local ◽  
Linearized System ◽  
Finite Time Stabilization

We consider the finite-time stabilization of homogeneous quasilinear hyperbolic systems with one side controls and with nonlinear boundary condition at the other side. We present time-independent feedbacks leading to the finite-time stabilization in any time larger than the optimal time for the null controllability of the linearized system if the initial condition is sufficiently small. One of the key technical points is to establish the local well-posedness of quasilinear hyperbolic systems with nonlinear, non-local boundary conditions.

scholarly journals Intrusive Galerkin methods with upwinding for uncertain nonlinear hyperbolic systems

2010 ◽  
Vol 229 (18) ◽  
pp. 6485-6511 ◽  
Author(s):  
J. Tryoen ◽  
O. Le Maître ◽  
M. Ndjinga ◽  
A. Ern
Keyword(s):  
Hyperbolic Systems ◽  
Galerkin Methods ◽  
Nonlinear Hyperbolic Systems
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