Regularity and uniqueness of solutions to a parabolic system in nonequilibrium thermodynamics
✍ Scribed by Ansgar Jüngel
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 154 KB
- Volume
- 41
- Category
- Article
- ISSN
- 0362-546X
No coin nor oath required. For personal study only.
✦ Synopsis
and we can estimate as in the proof of Theorem 4.1. The conclusion of the theorem follows.
📜 SIMILAR VOLUMES
A quasilinear parabolic equation with quadratic gradient terms is analyzed. The equation models an optimal portfolio in so-called incomplete financial markets consisting of risky assets and non-tradable state variables. Its solution allows to compute an optimal portfolio strategy. The quadratic grad
In this note we prove the uniqueness of weak solutions to a nonlinear hyperbolic system in electrohydrodynamics without the effects of a dissociation-recombination process. It is still open in the presence of a special dissociation-recombination process, although the existence of at least one weak s
We consider the model that has been suggested by Greenberg et al. (Physica D 134 (1999) 362-383) for the ferroelectric behavior of materials. In this model, the usual (linear) Maxwell's equations are supplemented with a constitutive relation in which the electric displacement equals a constant times