Global existence of entropy-dissipating H-solutions is established for the fuzzy Landau equation with power-law and very-soft kernels, together with a priori propagation estimates for moments and Lp norms.
The fuzzy Landau equation: global well-posedness and Fisher information
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We study a fuzzy variant of the inhomogeneous Landau equation and establish global-in-time existence and uniqueness of smooth solutions for moderately soft potentials. The spatial delocalization introduced in the collision operator not only enhances regularity and prevents singularity formation, but also reveals additional structural properties of the model. In particular, we show that several forms of the Fisher information decay monotonically or remain uniformly bounded in time.
fields
math.AP 1years
2025 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
On a fuzzy Landau Equation: Part II. Solvability results
Global existence of entropy-dissipating H-solutions is established for the fuzzy Landau equation with power-law and very-soft kernels, together with a priori propagation estimates for moments and Lp norms.