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

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

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

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10101 - Pure mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2025

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Nodea-Nonlinear Differential Equations and Applications

ISSN

1021-9722

e-ISSN

1420-9004

Svazek periodika

32

Číslo periodika v rámci svazku

5

Stát vydavatele periodika

DE - Spolková republika Německo

Počet stran výsledku

26

Strana od-do

82

Kód UT WoS článku

001513532900003

EID výsledku v databázi Scopus

2-s2.0-105008705402