Publications in Scientific Journals:
A. Jüngel, I. Violet:
"First-order entropies for the Derrida-Lebowitz-Speer-Spohn equation";
Discrete and Continuous Dynamical Systems B,
8
(2007),
4;
861
- 877.
English abstract:
A logarithmic fourth-order parabolic equation in one space dimension with
periodic boundary conditions is analyzed. Using a new semi-discrete approximation
in time, a first-order entropy--entropy dissipation inequality is proved.
Passing to the limit of vanishing time discretization parameter, some regularity
results are deduced. Moreover, it is shown that the solution is strictly
positive for large time if it does so initially.
German abstract:
Siehe englisches Abstract.
Keywords:
Entropy--entropy dissipation inequality, existence of weak solutions, regularity of solutions
Created from the Publication Database of the Vienna University of Technology.