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http://dx.doi.org/10.25673/103458
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DC Element | Wert | Sprache |
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dc.contributor.author | Wilke, Mathias | - |
dc.date.accessioned | 2023-06-07T08:57:01Z | - |
dc.date.available | 2023-06-07T08:57:01Z | - |
dc.date.issued | 2023 | - |
dc.identifier.uri | https://opendata.uni-halle.de//handle/1981185920/105410 | - |
dc.identifier.uri | http://dx.doi.org/10.25673/103458 | - |
dc.description.abstract | We investigate a quasilinear system consisting of the Westervelt equation from nonlinear acoustics and Pennes bioheat equation, subject to Dirichlet or Neumann boundary conditions. The concept of maximal regularity of type Lp–Lq is applied to prove local and global well-posedness. Moreover, we show by a parameter trick that the solutions regularize instantaneously. Finally, we compute the equilibria of the system and investigate the long-time behaviour of solutions starting close to equilibria. | eng |
dc.language.iso | eng | - |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | - |
dc.subject.ddc | 510 | - |
dc.title | Lp–Lq-theory for a quasilinear non-isothermal Westervelt equation | eng |
dc.type | Article | - |
local.versionType | publishedVersion | - |
local.bibliographicCitation.journaltitle | Applied mathematics & optimization | - |
local.bibliographicCitation.volume | 88 | - |
local.bibliographicCitation.issue | 1 | - |
local.bibliographicCitation.publishername | Springer | - |
local.bibliographicCitation.publisherplace | New York, NY | - |
local.bibliographicCitation.doi | 10.1007/s00245-023-09987-z | - |
local.subject.keywords | Non-isothermal Westervelt equation, optimal regularity, quasilinear parabolic system, exponential stability | - |
local.openaccess | true | - |
dc.identifier.ppn | 1842047590 | - |
local.bibliographicCitation.year | 2023 | - |
cbs.sru.importDate | 2023-06-07T08:56:35Z | - |
local.bibliographicCitation | Enthalten in Applied mathematics & optimization - New York, NY : Springer, 1974 | - |
local.accessrights.dnb | free | - |
Enthalten in den Sammlungen: | Open Access Publikationen der MLU |
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Datei | Beschreibung | Größe | Format | |
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s00245-023-09987-z.pdf | 381.42 kB | Adobe PDF | ![]() Öffnen/Anzeigen |