Global weak solution in a p-Laplacian Keller–Segel system with nonlinear sensitivity and saturation effect

2021 ◽  
Vol 62 (12) ◽  
pp. 121506
Author(s):  
Pan Zheng
Keyword(s):  
Weak Solution ◽  
Global Weak Solution ◽  
Saturation Effect

scholarly journals A global weak solution to the Lorentzian harmonic map flow

2019 ◽  
Vol 63 (1) ◽  
pp. 155-166 ◽  
Author(s):  
Xiaoli Han ◽  
Lei Liu ◽  
Liang Zhao
Keyword(s):  
Weak Solution ◽  
Harmonic Map ◽  
Global Weak Solution ◽  
Harmonic Map Flow

scholarly journals Existence and stability of fourth-order nonlinear plate problem

2019 ◽  
Vol 6 (1) ◽  
pp. 81-98
Author(s):  
Salim A. Messaoudi ◽  
Soh Edwin Mukiawa
Keyword(s):  
Weak Solution ◽  
Fourth Order ◽  
Stability Result ◽  
Suspension Bridge ◽  
Global Weak Solution ◽  
Restoring Force ◽  
Nonlinear Plate ◽  
Frictional Damping ◽  
Existence And Stability

AbstractIn this paper, we study a fourth-order plate problem as a model for a suspension bridge in the presence of a nonlinear frictional damping and a hanger restoring force. We establish the existence of a global weak solution and prove a stability result.

GLOBAL WEAK SOLUTIONS OF THE ONE-DIMENSIONAL HYDRODYNAMIC MODEL FOR SEMICONDUCTORS

1993 ◽  
Vol 03 (06) ◽  
pp. 759-788 ◽  
Author(s):  
F. JOCHMANN
Keyword(s):  
Weak Solution ◽  
Viscosity Solutions ◽  
Hydrodynamic Model ◽  
Global Weak Solution ◽  
Limit Problem ◽  
Young Measures ◽  
P System ◽  
Compensated Compactness ◽  
One Dimensional ◽  
The One

The existence of a global weak solution of the one-dimensional hydrodynamic model for semiconductors is proved by the method of artificial viscosity and the theory of compensated compactness. The system is first regularized and global viscosity-solutions are constructed. Letting the viscosity-parameter tend to zero, we obtain a sequence of viscosity-solutions converging in L∞-weak* to a weak solution of the one-dimensional p-system from isoentropic gas dynamics with an electric field term and momentum relaxation. Since the equations are nonlinear and the convergence is only weak, the theory of Young-measures and compensated compactness is applied to obtain a weak solution of the limit problem.

The global weak solution for the shallow water wave model of moderate amplitude

2016 ◽  
Vol 96 (4) ◽  
pp. 663-678
Author(s):  
Yunxi Guo ◽  
Yonghong Wu ◽  
Shaoyong Lai ◽  
Lou Caccetta
Keyword(s):  
Weak Solution ◽  
Shallow Water ◽  
Water Wave ◽  
Wave Model ◽  
Global Weak Solution ◽  
Shallow Water Wave

scholarly journals Global Attractor of Atmospheric Circulation Equations with Humidity Effect

2012 ◽  
Vol 2012 ◽  
pp. 1-15 ◽  
Author(s):  
Hong Luo
Keyword(s):  
Weak Solution ◽  
Atmospheric Circulation ◽  
Global Attractor ◽  
Global Weak Solution ◽  
Humidity Effect

Global attractor of atmospheric circulation equations is considered in this paper. Firstly, it is proved that this system possesses a unique global weak solution inL2(Ω,R4). Secondly, by usingC-condition, it is obtained that atmospheric circulation equations have a global attractor inL2(Ω,R4).

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