Asymptotic conditions at infinity for the time-periodic Stokes problem in a system of pipes

2016 ◽  
Vol 14 (02) ◽  
pp. 233-268
Author(s):  
Mindaugas Skujus
Keyword(s):  
Periodic Solution ◽  
Stokes Problem ◽  
Green Formula ◽  
Time Periodic ◽  
Conditions At Infinity ◽  
Time Periodic Solution

A time-periodic Stokes problem set in a domain with cylindrical outlets to infinity is studied. We derive the generalized Green formula. It enables us to impose so-called asymptotic conditions at infinity which allow to determine a unique time-periodic solution. This method was proposed and applied for a steady Stokes problem by Nazarov and co-authors.

A note on the existence of time periodic solution of a superlinear heat equation

2018 ◽  
Vol 98 (13) ◽  
pp. 2454-2463 ◽  
Author(s):  
Haochuan Huang ◽  
Jingxue Yin ◽  
Chunhua Jin
Keyword(s):  
Periodic Solution ◽  
Heat Equation ◽  
Time Periodic ◽  
Time Periodic Solution

PLANE SYMMETRIC SOLUTIONS FOR THE RADIATING GRAVITATIONAL FIELD

2010 ◽  
Vol 24 (17) ◽  
pp. 1877-1882 ◽  
Author(s):  
MING SHEN
Keyword(s):  
Periodic Solution ◽  
Gravitational Field ◽  
Space Time ◽  
Energy Conditions ◽  
Plane Symmetric ◽  
Physical Phenomena ◽  
Time Periodic ◽  
Time Periodic Solution

In this letter, we present a family of plane symmetric solutions for the radiating gravitational field which satisfy the weak and dominant energy conditions. An example is given according to the general form. We show that the example is a space–time-periodic solution which may have some relations with the new physical phenomena.

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