scholarly journals Global Existence Results for Some Viscoelastic Models with an Integral Constitutive Law

2014 ◽  
Vol 46 (3) ◽  
pp. 1859-1873 ◽  
Author(s):  
Laurent Chupin
2014 ◽  
Vol 19 (4) ◽  
pp. 524-536 ◽  
Author(s):  
Mouffak Benchohra ◽  
Johnny Henderson ◽  
Imene Medjadj

Our aim in this work is to study the existence of solutions of a functional differential inclusion with state-dependent delay. We use the Bohnenblust–Karlin fixed point theorem for the existence of solutions.


2016 ◽  
Vol 147 (1) ◽  
pp. 197-210 ◽  
Author(s):  
E. S. Baranovskii ◽  
M. A. Artemov

Author(s):  
Klaus Deckelnick ◽  
Charles M. Elliott

In this paper we study a moving boundary problem for an anisotropic two-phase Hele–Shaw flow. Using a regularization technique, we prove existence of a local solution. Under suitable conditions on the initial free boundary we obtain a global solution and study its asymptotic behaviour.


2014 ◽  
Vol 2014 ◽  
pp. 1-8
Author(s):  
Yanan Wang ◽  
Zaihong Jiang

We establish the regularity criteria for the two-dimensional generalized liquid crystal model. It turns out that the global existence results satisfy our regularity criteria naturally.


2008 ◽  
Vol 40 (1) ◽  
pp. 44-69 ◽  
Author(s):  
Guy Barles ◽  
Pierre Cardaliaguet ◽  
Olivier Ley ◽  
Régis Monneau

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