Dust agglomeration plays an important role in astrophysics and atmospheric sciences as
well as in industrial processes. This article reviews the current knowledge of the physical …

Analytic Methods for Coagulation-Fragmentation Models is a two-volume set that provides a
comprehensive exposition of the mathematical analysis of coagulation-fragmentation …

We introduce the notion of General Relative Entropy Inequality for several linear PDEs. This
concept extends to equations that are not conservation laws, the notion of relative entropy …

Background The 5XFAD early onset mouse model of Alzheimer's disease (AD) is gaining
momentum. Behavioral, electrophysiological and anatomical studies have identified age …

The aim of this paper is twofold:(1) On the one hand, the paper revisits the spectral analysis
of semigroups in a general Banach space setting. It presents some new and more general …

The present notes are intended to present a detailed review of the existing results in
dissipative kinetic theory which make use of the contraction properties of two main families …

We consider the natural time-dependent fractional p-Laplacian equation posed in the whole
Euclidean space, with parameters p> 2 and s∈(0, 1)(fractional exponent). We show that the …

We investigate existence and uniqueness of solutions of a McKean–Vlasov evolution PDE
representing the macroscopic behaviour of interacting Fitzhugh–Nagumo neurons. This …

We consider the cell division equation which describes the continuous growth of cells and
their division in two pieces. Growth conserves the total number of cells while division …

The uniqueness and existence of measure-valued solutions to Smoluchowski's coagulation
equation are considered for a class of homogeneous kernels. Denoting by λ∈(-∞, 2]⧹{0} …