The Ginzburg-Landau equation which describes nonlinear modulation of the amplitude of the basic pattern does not give a good approximation when the Landau constant (which describes the influence of the nonlinearity) is small. In this paper a derivation of the so-called degenerate (or generalized) Gi
On a Ginzburg-Landau constitutive equation for the evolution and fluctuations of the heat flux
✍ Scribed by D. Jou; C. Pérez-Garcia
- Publisher
- Elsevier Science
- Year
- 1980
- Tongue
- English
- Weight
- 548 KB
- Volume
- 104
- Category
- Article
- ISSN
- 0378-4371
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✦ Synopsis
A non-local generalization of extended irreversible thermodynamics is developed. Both the entropy flux and the evolution equation of the heat flux are obtained as constitutive equations of the theory. The latter equation is used to describe the fluctuations of the heat flux in the Onsager-Machlup formalism.
📜 SIMILAR VOLUMES
1 consider the nonlinear stability of plane wave solutions to a Ginzburg-Landau equation with additional fifth-order terms and cubic terms containing spatial derivatives. 1 show that, under the constraint that the diffusion coefficient be real, these waves are stable. Furthermore, it is shown that t
## Abstract In this paper we consider a class of complex Ginzburg–Landau equations. We obtain sufficient conditions for the existence and uniqueness of global solutions for the initial‐value problem in __d__‐dimensional torus 𝕋^__d__^, and that solutions are initially approximated by solutions of t