Large-time behavior of solutions to Cauchy problem for bipolar Euler–Poisson system with time-dependent damping in critical case

2021 ◽  
Vol 19 (5) ◽  
pp. 1207-1231
Author(s):  
Liping Luan ◽  
Ming Mei ◽  
Bruno Rubino ◽  
Peicheng Zhu
Keyword(s):  
Cauchy Problem ◽  
Critical Case ◽  
Large Time ◽  
Large Time Behavior ◽  
Time Dependent ◽  
Time Behavior ◽  
Poisson System

Large time behavior of solutions for a class of time-dependent Hamilton-Jacobi equations

2015 ◽  
Vol 59 (5) ◽  
pp. 875-890
Author(s):  
QiHuai Liu ◽  
XinXiang Li ◽  
Jun Yan
Keyword(s):  
Large Time ◽  
Large Time Behavior ◽  
Time Dependent ◽  
Time Behavior ◽  
Jacobi Equations

scholarly journals SMOOTHING EFFECT AND LARGE TIME BEHAVIOR OF SOLUTIONS TO SCHRÖDINGER EQUATIONS WITH NONLINEARITY OF INTEGRAL TYPE

2004 ◽  
Vol 06 (04) ◽  
pp. 681-703 ◽  
Author(s):  
T. OZAWA ◽  
Y. YAMAZAKI
Keyword(s):  
Cauchy Problem ◽  
Large Time ◽  
Large Time Behavior ◽  
Time Behavior ◽  
Smoothing Effect ◽  
Range Effect ◽  
Integral Type ◽  
Phase Modification ◽  
The Cauchy Problem ◽  
Two Space Dimensions

We study the smoothing effect in space and asymptotic behavior in time of solutions to the Cauchy problem for the nonlinear Schrödinger equation with interaction described by the integral of the intensity with respect to one direction in two space dimensions. A detailed description is given on the phase modification of scattering solutions by taking into account the long range effect of the interaction.

scholarly journals Large time behavior of Euler-Poisson system for semiconductor

2008 ◽  
Vol 51 (5) ◽  
pp. 965-972 ◽  
Author(s):  
FeiMin Huang ◽  
RongHua Pan ◽  
HuiMin Yu
Keyword(s):  
Large Time ◽  
Large Time Behavior ◽  
Time Behavior ◽  
Poisson System
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