Existence and Asymptotic Properties of Solutions of a Nonlocal Evolution Equation Modeling Cell-Cell Adhesion

2010 ◽  
Vol 42 (4) ◽  
pp. 1784-1804 ◽  
Author(s):  
Janet Dyson ◽  
Stephen A. Gourley ◽  
Rosanna Villella-Bressan ◽  
Glenn F. Webb
2020 ◽  
Vol 72 (10) ◽  
pp. 1386-1399
Author(s):  
H. Mahmoudi ◽  
A. Esfahani

UDC 517.9 We consider the Cauchy problem for an evolution equation modeling bidirectional surface waves in a convecting fluid. We study the existence, uniqueness, and asymptotic properties of global solutions to the initial value problem associated withthis equation in . We obtain some polynomial decay estimates of the energy.


2005 ◽  
Vol 173 (4S) ◽  
pp. 170-170
Author(s):  
Maxine G. Tran ◽  
Miguel A. Esteban ◽  
Peter D. Hill ◽  
Ashish Chandra ◽  
Tim S. O'Brien ◽  
...  

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