Weak and strong solutions to Landau-Lifshitz-Bloch-Maxwell equations with polarization

2021 ◽  
Vol 286 ◽  
pp. 47-83
Author(s):  
Qiaoxin Li ◽  
Boling Guo ◽  
Fengxia Liu ◽  
Wuming Liu
Keyword(s):  
Maxwell Equations ◽  
Strong Solutions ◽  
Weak And Strong Solutions

Weak and strong solutions of the complex Ginzburg-Landau equation

1994 ◽  
Vol 71 (3) ◽  
pp. 285-318 ◽  
Author(s):  
Charles R Doering ◽  
John D Gibbon ◽  
C David Levermore
Keyword(s):  
Landau Equation ◽  
Strong Solutions ◽  
Ginzburg Landau ◽  
Ginzburg Landau Equation ◽  
Weak And Strong Solutions

scholarly journals Existence and uniform boundedness of strong solutions of the time-dependent Ginzburg-Landau equations of superconductivity

2005 ◽  
Vol 2005 (8) ◽  
pp. 863-887
Author(s):  
Fouzi Zaouch
Keyword(s):  
Magnetic Field ◽  
Existence And Uniqueness ◽  
Uniform Boundedness ◽  
Strong Solutions ◽  
Time Dependent ◽  
Dynamical Process ◽  
Ginzburg Landau ◽  
Ginzburg Landau Equations ◽  
Uniformly Bounded ◽  
Weak And Strong Solutions

The time-dependent Ginzburg-Landau equations of superconductivity with a time-dependent magnetic fieldHare discussed. We prove existence and uniqueness of weak and strong solutions withH1-initial data. The result is obtained under the “φ=−ω(∇⋅A)” gauge withω>0. These solutions generate a dynamical process and are uniformly bounded in time.

scholarly journals Averaging of flows with capillary hysteresis in stochastic porous media

2007 ◽  
Vol 18 (3) ◽  
pp. 389-415 ◽  
Author(s):  
BEN SCHWEIZER
Keyword(s):  
Porous Media ◽  
Evolution Equation ◽  
Physical System ◽  
Strong Solutions ◽  
Unsaturated Porous Media ◽  
Capillary Hysteresis ◽  
History Of ◽  
Wetting Process ◽  
The Relationship ◽  
Weak And Strong Solutions

Fluids in unsaturated porous media are described by the relationship between pressure (p) and saturation (u). Darcy's law and conservation of mass provides an evolution equation for u, and the capillary pressure provides a relation between p and u of the form p∈ pc(u,∂tu). The multi-valued function pc leads to hysteresis effects. We construct weak and strong solutions to the hysteresis system and homogenize the system for oscillatory stochastic coefficients. The effective equations contain a new dependent variable that encodes the history of the wetting process and provide a better description of the physical system.

scholarly journals Thermodynamic Analysis and Optimization of a High Temperature Triple Absorption Heat Transformer

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Mehrdad Khamooshi ◽  
Kiyan Parham ◽  
Mortaza Yari ◽  
Fuat Egelioglu ◽  
Hana Salati ◽  
...  
Keyword(s):  
High Temperature ◽  
Thermodynamic Analysis ◽  
Thermodynamic Model ◽  
Strong Solutions ◽  
Search Method ◽  
Direct Search Method ◽  
First Law Of Thermodynamics ◽  
Main Components ◽  
Heat Transformer ◽  
Weak And Strong Solutions

First law of thermodynamics has been used to analyze and optimize inclusively the performance of a triple absorption heat transformer operating with LiBr/H2O as the working pair. A thermodynamic model was developed in EES (engineering equation solver) to estimate the performance of the system in terms of the most essential parameters. The assumed parameters are the temperature of the main components, weak and strong solutions, economizers’ efficiencies, and bypass ratios. The whole cycle is optimized by EES software from the viewpoint of maximizing the COP via applying the direct search method. The optimization results showed that the COP of 0.2491 is reachable by the proposed cycle.

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