scholarly journals Global existence and asymptotic behavior of spherically symmetric solutions for the multi-dimensional infrarelativistic model

2019 ◽  
Vol 18 (5) ◽  
pp. 2529-2574
Author(s):  
Yuming Qin ◽  
◽  
Jianlin Zhang ◽  
Keyword(s):  
Asymptotic Behavior ◽  
Global Existence ◽  
Spherically Symmetric ◽  
Spherically Symmetric Solutions

scholarly journals Spherically symmetric solutions of multidimensional zero-pressure gas dynamics system

2014 ◽  
Vol 11 (02) ◽  
pp. 269-293 ◽  
Author(s):  
Anupam Pal Choudhury ◽  
K. T. Joseph ◽  
Manas R. Sahoo
Keyword(s):  
Asymptotic Behavior ◽  
Gas Dynamics ◽  
Explicit Solutions ◽  
Spherically Symmetric ◽  
Spherically Symmetric Solutions ◽  
Different Types ◽  
Explicit Formulae

We derive explicit formulae for spherically symmetric solutions to the system of multidimensional zero-pressure gas dynamics and its adhesion approximation. The asymptotic behavior of the explicit solutions of the adhesion approximation is studied here. We observe that the radial components of the velocity and density satisfy a simpler equation, which enables us to get explicit formulae for different types of domains and study its asymptotic behavior. A class of solutions to the inviscid system with conditions on the mass instead of conditions at origin is also analyzed here.

On the global existence and asymptotic behavior of the solution of a nonlinear wave equation with past history

2021 ◽  
Vol 62 (3) ◽  
pp. 031512
Author(s):  
Adel M. Al-Mahdi ◽  
Mohammad M. Al-Gharabli ◽  
Mohammad Kafini ◽  
Shadi Al-Omari
Keyword(s):  
Asymptotic Behavior ◽  
Wave Equation ◽  
Global Existence ◽  
Nonlinear Wave ◽  
Nonlinear Wave Equation ◽  
Past History
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