Aufgrund von Vorbereitungen auf eine neue Version von KOPS, können kommenden Montag und Dienstag keine Publikationen eingereicht werden. (Due to preparations for a new version of KOPS, no publications can be submitted next Monday and Tuesday.)
Type of Publication: | Working Paper/Technical Report |
Publication status: | Submitted |
URI (citable link): | http://nbn-resolving.de/urn:nbn:de:bsz:352-2-8ztzhsco3jj82 |
Author: | Racke, Reinhard; Said-Houari, Belkacem |
Year of publication: | 2019 |
Series: | Konstanzer Schriften in Mathematik ; 382 |
Summary: |
In this paper, we consider the Cauchy problem of a third order in time nonlinear equation known as the Jordan-Moore-Gibson-Thompson equation arising in acoustics as an alternative model to the well-known Kuznetsov equation. First, using the contraction mapping theorem, we show a local existence result in appropriate function spaces. Second, by using the energy method together with a bootstrap argument, we prove a global existence result for small data. Third, polynomial decay rates in time for the solution will be obtained for space dimensions N >=2.
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Subject (DDC): | 510 Mathematics |
Link to License: | In Copyright |
Bibliography of Konstanz: | Yes |
RACKE, Reinhard, Belkacem SAID-HOUARI, 2019. Global well-posedness of the Cauchy problem for the Jordan-Moore-Gibson-Thompson equation
@techreport{Racke2019Globa-45479, series={Konstanzer Schriften in Mathematik}, title={Global well-posedness of the Cauchy problem for the Jordan-Moore-Gibson-Thompson equation}, year={2019}, number={382}, author={Racke, Reinhard and Said-Houari, Belkacem} }
Racke_2-8ztzhsco3jj82.pdf | 357 |