33 citations · 152 across the 23 of their papers we have counts for
25 papers
Coupled Transport and Adsorption in Graded Filters: A Multi-Scale Analysis of Non-Solenoidal Effects
Václav Klika, Vojtěch Kužel
We investigate the transport and adsorption of solutes within graded porous filters characterised by a spatially varying microstructure. While classical homogenisation theory typic…
How the arrow of time emerges from Hamiltonian systems by our incomplete knowledge
Katerina Mlada, Michal Pavelka, Vaclav Klika
How does the arrow of time (dissipative, irreversible behavior) emerge from time-reversible Hamiltonian mechanics? Two ingredients are needed: the underlying system must be ergodic…
Integral Asymptotics, Coalescing Saddles, and Multiple-scales Analysis of a Generalised Swift-Hohenberg Equation
Václav Klika, Mohit P. Dalwadi, Andrew L. Krause +1
Integral asymptotics play an important role in the analysis of differential equations and in a variety of other settings. In this work, we apply an integral asymptotics approach to…
Pattern Localisation in the Swift-Hohenberg Equation via Slowly Varying Spatial Heterogeneity
Andrew L. Krause, Václav Klika, Edgardo Villar-Sepúlveda +2
Theories of localised pattern formation are important to understand a broad range of natural patterns, but are less well-understood than more established mechanisms of domain-filli…
Approaches to conservative Smoothed Particle Hydrodynamics with entropy
Michal Pavelka, Vaclav Klika, Ondrej Kincl
Smoothed particle hydrodynamics (SPH) is typically used for barotropic fluids, where the pressure depends only on the local mass density. Here, we show how to incorporate the entro…
On the speed of propagation in Turing patterns for reaction-diffusion systems
Václav Klika, Eamonn A. Gaffney, Philip K. Maini
This study investigates transient wave dynamics in Turing pattern formation, focusing on waves emerging from localised disturbances. While the traditional focus of diffusion-driven…