Type of Publication:  Working Paper/Technical Report 
Publication status:  Submitted 
URI (citable link):  http://nbnresolving.de/urn:nbn:de:bsz:35228ztzhsco3jj82 
Author:  Racke, Reinhard; SaidHouari, 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 JordanMooreGibsonThompson equation arising in acoustics as an alternative model to the wellknown 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.

Subject (DDC):  510 Mathematics 
Link to License:  Terms of use 
Bibliography of Konstanz:  Yes 
RACKE, Reinhard, Belkacem SAIDHOUARI, 2019. Global wellposedness of the Cauchy problem for the JordanMooreGibsonThompson equation
@techreport{Racke2019Globa45479, series={Konstanzer Schriften in Mathematik}, title={Global wellposedness of the Cauchy problem for the JordanMooreGibsonThompson equation}, year={2019}, number={382}, author={Racke, Reinhard and SaidHouari, Belkacem} }
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