scholarly journals The exponential decay of global solutions to the generalized Landau equation near Maxwellians

2006 ◽  
Vol 64 (1) ◽  
pp. 29-39 ◽  
Author(s):  
Hongjun Yu
Keyword(s):  
Exponential Decay ◽  
Landau Equation ◽  
Global Solutions

scholarly journals Global existence for the generalised 2D Ginzburg-Landau equation

2003 ◽  
Vol 44 (3) ◽  
pp. 381-392 ◽  
Author(s):  
Hongjun Gao ◽  
Keng-Huat Kwek
Keyword(s):  
Existence And Uniqueness ◽  
Landau Equation ◽  
Sufficient Conditions ◽  
Global Solutions ◽  
Ginzburg Landau ◽  
Spatial Variables ◽  
Type Complex ◽  
Ginzburg Landau Equation ◽  
Fifth Order ◽  
Formation Systems

AbstractGinzburg-Landau type complex partial differential equations are simplified mathematical models for various pattern formation systems in mechanics, physics and chemistry. Most work so far has concentrated on Ginzburg-Landau type equations with one spatial variable (1D). In this paper, the authors study a complex generalised Ginzburg-Landau equation with two spatial variables (2D) and fifth-order and cubic terms containing derivatives. Based on detail analysis, sufficient conditions for the existence and uniqueness of global solutions are obtained.

scholarly journals Exponential decay of solutions of a semilinear Lipschitz Perturbation of Kirchhoff-Carrier Wave Equation

1993 ◽  
Vol 15 (15) ◽  
pp. 17
Author(s):  
Eleni Bisognin
Keyword(s):  
Wave Equation ◽  
Mixed Problem ◽  
Exponential Decay ◽  
Lipschitz Function ◽  
Global Solutions ◽  
Work Study ◽  
Carrier Wave ◽  
Decay Of Solutions ◽  
Lipschitz Perturbation

In this work study the existence of global solutions and exponential decay of energy of the mixed problem for perturbed Kirchhoff-Carrier wave equationu" - M(a(u)) Δu + F(u) + γ u’ = fwhere F is a Lipschitz function.

EXISTENCE AND EXPONENTIAL DECAY OF GLOBAL SOLUTIONS TO THE BOLTZMANN EQUATION NEAR MAXWELLIANS

2005 ◽  
Vol 15 (03) ◽  
pp. 483-505 ◽  
Author(s):  
HONGJUN YU
Keyword(s):  
Boltzmann Equation ◽  
Exponential Decay ◽  
Global Solutions ◽  
Classical Solutions ◽  
The Boltzmann Equation

Under Grad angular cutoff assumption, we first establish the global-in-time classical solutions near Maxwellians to the Boltzmann equation in a periodic box. Furthermore, the exponential decay of such a solution is obtained.

scholarly journals Global and non global solutions for a class of coupled parabolic systems

2020 ◽  
Vol 9 (1) ◽  
pp. 1383-1401 ◽  
Author(s):  
T. Saanouni
Keyword(s):  
Global Existence ◽  
Exponential Decay ◽  
Existence Of Solutions ◽  
Global Solutions ◽  
Parabolic Systems ◽  
Heat Equations ◽  
Well Posedness ◽  
Potential Well ◽  
Global Existence Of Solutions ◽  
Coupled Parabolic Systems

Abstract In the present paper, we investigate the global well-posedness and exponential decay for some coupled non-linear heat equations. Moreover, we discuss the global and non global existence of solutions using the potential well method.

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