Stability Analysis for an Interface with a Continuous Internal Structure
A general method for solving a linear stability problem of an interface with a continuous internal structure is described. Such interfaces or fronts are commonly found in various branches of physics, such as combustion and plasma physics. It extends simplified analysis of an infinitely thin disconti...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-01-01
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| Series: | Fluids |
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| Online Access: | https://www.mdpi.com/2311-5521/6/1/18 |
| _version_ | 1827698691085959168 |
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| author | Mikhail Modestov |
| author_facet | Mikhail Modestov |
| author_sort | Mikhail Modestov |
| collection | DOAJ |
| description | A general method for solving a linear stability problem of an interface with a continuous internal structure is described. Such interfaces or fronts are commonly found in various branches of physics, such as combustion and plasma physics. It extends simplified analysis of an infinitely thin discontinuous front by means of numerical integration along the steady-state solution. Two examples are presented to demonstrate the application of the method for 1D pulsating instability in magnetic deflagration and 2D Darrieus–Landau instability in a laser ablation wave. |
| first_indexed | 2024-03-10T13:33:45Z |
| format | Article |
| id | doaj.art-455c0af15c9c4e7eb2d0e31b8b39763e |
| institution | Directory Open Access Journal |
| issn | 2311-5521 |
| language | English |
| last_indexed | 2024-03-10T13:33:45Z |
| publishDate | 2021-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fluids |
| spelling | doaj.art-455c0af15c9c4e7eb2d0e31b8b39763e2023-11-21T07:40:52ZengMDPI AGFluids2311-55212021-01-01611810.3390/fluids6010018Stability Analysis for an Interface with a Continuous Internal StructureMikhail Modestov0Institute de Astrofisica de Canarias, 38205 La Laguna, Tenerife, SpainA general method for solving a linear stability problem of an interface with a continuous internal structure is described. Such interfaces or fronts are commonly found in various branches of physics, such as combustion and plasma physics. It extends simplified analysis of an infinitely thin discontinuous front by means of numerical integration along the steady-state solution. Two examples are presented to demonstrate the application of the method for 1D pulsating instability in magnetic deflagration and 2D Darrieus–Landau instability in a laser ablation wave.https://www.mdpi.com/2311-5521/6/1/18stability analysisinstabilitiesdispersion relationinterface stability |
| spellingShingle | Mikhail Modestov Stability Analysis for an Interface with a Continuous Internal Structure Fluids stability analysis instabilities dispersion relation interface stability |
| title | Stability Analysis for an Interface with a Continuous Internal Structure |
| title_full | Stability Analysis for an Interface with a Continuous Internal Structure |
| title_fullStr | Stability Analysis for an Interface with a Continuous Internal Structure |
| title_full_unstemmed | Stability Analysis for an Interface with a Continuous Internal Structure |
| title_short | Stability Analysis for an Interface with a Continuous Internal Structure |
| title_sort | stability analysis for an interface with a continuous internal structure |
| topic | stability analysis instabilities dispersion relation interface stability |
| url | https://www.mdpi.com/2311-5521/6/1/18 |
| work_keys_str_mv | AT mikhailmodestov stabilityanalysisforaninterfacewithacontinuousinternalstructure |