In this contribution we give a short overview of recent advances in nonlocal conservation
laws. In these equations, we assume that the flux f is decomposable into f (x)= V (x) x, x∈ R …

We consider a class of nonlocal balance laws as initial value problems on a finite time
horizon and show existence and uniqueness of the corresponding weak solutions. The …

Photoluminescence and anti-reflection both have the potential to improve solar cells
efficiency. In order to obtain a coating with photoluminescence and anti-reflection both …

We show that for monotone initial datum the solution of nonlocal conservation laws
converges to the entropy solution of the corresponding local conservation laws when the …

Engineered ZnO quantum dots (E-QDs) are sought-after nanostructures in healthcare and
optoelectronic industries, necessitating a paradigm shift toward high-throughput continuous …

The hot injection technique for the synthesis of quantum dots (QDs) is a well-established
and widely used method in the lab. However, scale-up rules do not exist. One reason is that …

Despite great progress in the synthetic chemistry of InP QDs, a predictive model to describe
their temporal formation is still missing. In this work, we introduce a population balance …

High efficiency kesterite based solar cells have vigorously raised the research interests in
this material. The challenge lies in understanding the formation and co-existence of more …

In this contribution, we study the existence and uniqueness of nonlocal transport equations.
The term “nonlocal” refers to the fact that the flux function's derivative will be integrated over …

Battery materials, pharmaceuticals, solar cells, coffee powder, 3D printed components, etc.,
all these products have in common that they are predominantly made of particles. Ensuring …