Well-posedness and global extensibility criteria for time-fractionally damped Jordan-Moore-Gibson-Thompson equation

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F25%3A00637581" target="_blank" >RIV/67985840:_____/25:00637581 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s00030-025-01084-0" target="_blank" >https://doi.org/10.1007/s00030-025-01084-0</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00030-025-01084-0" target="_blank" >10.1007/s00030-025-01084-0</a>

Result language
angličtina
Original language name
Well-posedness and global extensibility criteria for time-fractionally damped Jordan-Moore-Gibson-Thompson equation
Original language description
In this paper, we consider the Jordan-Moore-Gibson-Thompson with a time-fractional damping term of the type δDt1-αΔψt where we allow the challenging so-called critical case (δ=0). This equation arises in the context of acoustic propagation through thermally relaxed media. We tackle the question of long-time existence of the solution. More precisely, the goal of the paper is twofold: First, we establish local well-posedness of the initial boundary value problem, where we also provide a lower bound on the final time of existence as a function of initial data. Second, we prove a regularity result which guarantees, under the hypothesis of boundedness of certain quantities, that the local solution can be extended to be global-in-time.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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