(Bounded) Traveling Combustion Fronts With Degenerate Kinetics
We consider the propagation of a flame front in a solid periodic medium. The model is governed by a free boundary system in which the front's velocity depends on the temperature via a kinetic rate which may degenerate. We show the existence of travelling wave solutions which are bounded and glo...
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| creator | Alibaud, Nathaël Namah, Gawtum |
| description | We consider the propagation of a flame front in a solid periodic medium. The
model is governed by a free boundary system in which the front's velocity
depends on the temperature via a kinetic rate which may degenerate. We show the
existence of travelling wave solutions which are bounded and global. Previous
results by the same authors (cf. Alibaud, Namah, On the propagation of a
periodic flame front by an Arrhenius kinetic,{\it Interfaces Free Bound.,}
2017) were obtained for essentially positively lower bounded kinetics or
eventually which have some very weak degeneracy. Here we consider general
degenerate kinetics, including in particular those of Arrhenius type which are
commonly used in physics. |
| doi_str_mv | 10.48550/arxiv.1910.14371 |
| format | Article |
| fullrecord | <record><control><sourceid>arxiv_GOX</sourceid><recordid>TN_cdi_arxiv_primary_1910_14371</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>1910_14371</sourcerecordid><originalsourceid>FETCH-arxiv_primary_1910_143713</originalsourceid><addsrcrecordid>eNpjYJA0NNAzsTA1NdBPLKrILNMztAQKGJoYmxtyMthpOOWX5qWkpmgqhBQllqXmZOalKzjn5yaVFpdk5ucpuBXl55UUK4RnlmQouKSmp-alFiWWpCp4Z-allmQmF_MwsKYl5hSn8kJpbgZ5N9cQZw9dsE3xBUWZuYlFlfEgG-PBNhoTVgEATfM1qg</addsrcrecordid><sourcetype>Open Access Repository</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype></control><display><type>article</type><title>(Bounded) Traveling Combustion Fronts With Degenerate Kinetics</title><source>arXiv.org</source><creator>Alibaud, Nathaël ; Namah, Gawtum</creator><creatorcontrib>Alibaud, Nathaël ; Namah, Gawtum</creatorcontrib><description>We consider the propagation of a flame front in a solid periodic medium. The
model is governed by a free boundary system in which the front's velocity
depends on the temperature via a kinetic rate which may degenerate. We show the
existence of travelling wave solutions which are bounded and global. Previous
results by the same authors (cf. Alibaud, Namah, On the propagation of a
periodic flame front by an Arrhenius kinetic,{\it Interfaces Free Bound.,}
2017) were obtained for essentially positively lower bounded kinetics or
eventually which have some very weak degeneracy. Here we consider general
degenerate kinetics, including in particular those of Arrhenius type which are
commonly used in physics.</description><identifier>DOI: 10.48550/arxiv.1910.14371</identifier><language>eng</language><subject>Mathematics - Analysis of PDEs</subject><creationdate>2019-10</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,881</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/1910.14371$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.1910.14371$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Alibaud, Nathaël</creatorcontrib><creatorcontrib>Namah, Gawtum</creatorcontrib><title>(Bounded) Traveling Combustion Fronts With Degenerate Kinetics</title><description>We consider the propagation of a flame front in a solid periodic medium. The
model is governed by a free boundary system in which the front's velocity
depends on the temperature via a kinetic rate which may degenerate. We show the
existence of travelling wave solutions which are bounded and global. Previous
results by the same authors (cf. Alibaud, Namah, On the propagation of a
periodic flame front by an Arrhenius kinetic,{\it Interfaces Free Bound.,}
2017) were obtained for essentially positively lower bounded kinetics or
eventually which have some very weak degeneracy. Here we consider general
degenerate kinetics, including in particular those of Arrhenius type which are
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model is governed by a free boundary system in which the front's velocity
depends on the temperature via a kinetic rate which may degenerate. We show the
existence of travelling wave solutions which are bounded and global. Previous
results by the same authors (cf. Alibaud, Namah, On the propagation of a
periodic flame front by an Arrhenius kinetic,{\it Interfaces Free Bound.,}
2017) were obtained for essentially positively lower bounded kinetics or
eventually which have some very weak degeneracy. Here we consider general
degenerate kinetics, including in particular those of Arrhenius type which are
commonly used in physics.</abstract><doi>10.48550/arxiv.1910.14371</doi><oa>free_for_read</oa></addata></record> |
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| subjects | Mathematics - Analysis of PDEs |
| title | (Bounded) Traveling Combustion Fronts With Degenerate Kinetics |
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