scholarly journals On Boundary Null Controllability of Strongly Degenerate Hyperbolic Systems on Star-Shaped Planar Network

2021 ◽  
Vol 29 (2) ◽  
pp. 92
Author(s):  
Peter I. Kogut ◽  
Olga P. Kupenko ◽  
G¨unter Leugering
Keyword(s):  
Hyperbolic Systems ◽  
Null Controllability ◽  
Planar Network ◽  
Strongly Degenerate

scholarly journals Null controllability and finite-time stabilization in minimal time of one-dimensional first-order 2×2 linear hyperbolic systems

2021 ◽  
Author(s):  
Long Hu ◽  
Guillaume Olive
Keyword(s):  
Finite Time ◽  
Hyperbolic Systems ◽  
Null Controllability ◽  
Convolution Theorem ◽  
Backstepping Method ◽  
Technical Point ◽  
One Dimensional ◽  
First Order ◽  
Minimal Time ◽  
Finite Time Stabilization

The goal of this article is to present the minimal time needed for the null controllability and finite-time stabilization of one-dimensional first-order 2×2 linear hyperbolic systems. The main technical point is to show that we cannot obtain a better time. The proof combines the backstepping method with the Titchmarsh convolution theorem.

Strongly Degenerate Parabolic-Hyperbolic Systems Modeling Polydisperse Sedimentation with Compression

2003 ◽  
Vol 64 (1) ◽  
pp. 41-80 ◽  
Author(s):  
Elmer M. Tory ◽  
Kenneth H. Karlsen ◽  
Raimund Bürger ◽  
Stefan Berres
Keyword(s):  
Hyperbolic Systems ◽  
Systems Modeling ◽  
Degenerate Parabolic ◽  
Strongly Degenerate

scholarly journals Controllability of degenerate and singular parabolic problems: the double strong case with Neumann boundary conditions

2019 ◽  
Vol 39 (2) ◽  
pp. 207-225 ◽  
Author(s):  
Genni Fragnelli ◽  
Dimitri Mugnai
Keyword(s):  
Boundary Conditions ◽  
Parabolic Problem ◽  
Singular Potential ◽  
Neumann Boundary ◽  
Null Controllability ◽  
Neumann Boundary Conditions ◽  
Parabolic Problems ◽  
Smooth Coefficients ◽  
Strongly Degenerate ◽  
Controllability Result

We prove a null controllability result for a parabolic problem with Neumann boundary conditions. We consider non smooth coefficients in presence of a strongly singular potential and a strongly degenerate coefficient, both vanishing at an interior point. This paper concludes the study of the Neumann case.

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