scholarly journals Long time asymptotics of sub-threshold solutions of a semilinear Cauchy problem

2011 ◽  
pp. 279-297 ◽  
Author(s):  
Jari Taskinen
Keyword(s):  
Cauchy Problem ◽  
Time Asymptotics ◽  
Long Time ◽  
Long Time Asymptotics ◽  
Semilinear Cauchy Problem

scholarly journals Asymptotic behavior of solutions of the damped Boussinesq equation in two space dimensions

1999 ◽  
Vol 22 (1) ◽  
pp. 131-145 ◽  
Author(s):  
Vladimir V. Varlamov
Keyword(s):  
Cauchy Problem ◽  
Existence And Uniqueness ◽  
Boussinesq Equation ◽  
Asymptotic Behavior Of Solutions ◽  
Small Initial Data ◽  
Time Asymptotics ◽  
The Cauchy Problem ◽  
Long Time ◽  
Two Space Dimensions ◽  
Long Time Asymptotics

The Cauchy problem for the damped Boussinesq equation with small initial data is considered in two space dimensions. Existence and uniqueness of its classical solution is proved and the solution is constructed in the form of a series. The major term of its long-time asymptotics is calculated explicitly and a uniform in space estimate of the residual term is given.

scholarly journals Long-time asymptotics for evolutionary crystal dislocation models

2020 ◽  
Vol 371 ◽  
pp. 107242 ◽  
Author(s):  
Matteo Cozzi ◽  
Juan Dávila ◽  
Manuel del Pino
Keyword(s):  
Time Asymptotics ◽  
Dislocation Models ◽  
Long Time ◽  
Long Time Asymptotics

Sharp Long-Time Asymptotics for Chemotaxis with Free Boundary

2021 ◽  
Vol 53 (2) ◽  
pp. 2027-2083
Author(s):  
Hai-Liang Li ◽  
Benoít Perthame ◽  
Xinmei Wen
Keyword(s):  
Free Boundary ◽  
Time Asymptotics ◽  
Long Time ◽  
Long Time Asymptotics
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