1D Hyperbolic Systems with Nonlinear Boundary Conditions II: Criteria for Finite Time Stability
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arXiv
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| Format: | Preprint |
| Published: |
2022
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| _version_ | 1866912755182731264 |
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| author | Kmit, Irina |
| author_facet | Kmit, Irina |
| contents | We investigate the finite time stability property of one-dimensional nonautonomous initial boundary value problems for linear decoupled hyperbolic systems with nonlinear boundary conditions. We establish sufficient and necessary conditions under which continuous or $L^2$-generalized solutions stabilize to zero in a finite time. Our criteria are expressed in terms of a propagation operator along characteristic curves. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_00858 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | 1D Hyperbolic Systems with Nonlinear Boundary Conditions II: Criteria for Finite Time Stability Kmit, Irina Analysis of PDEs We investigate the finite time stability property of one-dimensional nonautonomous initial boundary value problems for linear decoupled hyperbolic systems with nonlinear boundary conditions. We establish sufficient and necessary conditions under which continuous or $L^2$-generalized solutions stabilize to zero in a finite time. Our criteria are expressed in terms of a propagation operator along characteristic curves. |
| title | 1D Hyperbolic Systems with Nonlinear Boundary Conditions II: Criteria for Finite Time Stability |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2208.00858 |