Abstract. Motivated by recent discussions concerning differences of convective dynamics in polluted and pristine environments, the so-called invigoration particular, this paper provides an analysis factors affecting updraft buoyancy, such as in-cloud supersaturation, condensate precipitation loading, entrainment. We use deep period from simulations daytime convection development over land discu...

A classical theorem of Simonovits from the 1980s asserts that every graph $G$ satisfying ${e(G) \gg v(G)^{1+1/k}}$ must contain $\gtrsim \left(\frac{e(G)}{v(G)}\right)^{2k}$ copies $C_{2k}$. Recently, Morris and Saxton established a balanced version Simonovits' theorem, showing such has $C_{2k}$, which are `uniformly distributed' over edges $G$. Moreover, they used this result to obtain sharp b...

This paper introduces nucleation theory applied to crystallizing protein solutions. It is shown that the classical approach explains the available nucleation data under most conditions used for growing protein crystals for structural studies and for industrial crystallization. However, it fails to explain most experimental data on the structure of the critical clusters. It is also shown that fo...

Abstract The paper presents a practical control approach, which can be used to directly design the shape of a crystal size distribution, to robustly achieve desired product properties. The control approach is implemented in a hierarchical structure where on the lower level a model-free crystallization control methodology, the supersaturation control, drives the system in the phase diagram, rath...

The aim of this contribution is a survey of different nucleation and growth kinetics terms effects on modeling results of KNO3 Continuous Mixed Suspension Mixed Product Removal (CMSMPR) crystallizer. By studying the four different states in modeling, results show that, although these terms for similar crystallization system and operating conditions are similar, there is very different dynamic b...