Decay rate and blow up solutions for coupled quasilinear system

We consider the initial value problem for a coupled quasilinear system in a bounded domain with dispersion, nonlinear damping and source terms. We give decay estimate of energy function by means Nakao’s inequality. Furthermore, under some conditions on the given parameters, we study blow up of solut...

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Bibliographic Details
Published in:Boletín de la Sociedad Matemática Mexicana 2020-07, Vol.26 (2), p.499-519
Main Authors: Mezouar, Nadia, PİŞKİN, Erhan
Format: Article
Language:English
Subjects:
Boundary value problems
Damping
Decay rate
Mathematics
Mathematics and Statistics
Original Article
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Summary:We consider the initial value problem for a coupled quasilinear system in a bounded domain with dispersion, nonlinear damping and source terms. We give decay estimate of energy function by means Nakao’s inequality. Furthermore, under some conditions on the given parameters, we study blow up of solutions for a negative initial energy.
ISSN:1405-213X
2296-4495
DOI:10.1007/s40590-019-00243-5