33 citations · 152 across the 23 of their papers we have counts for
6 papers · 1 filter
Gradient and GENERIC evolution towards reduced dynamics
Miroslav Grmela, Vaclav Klika, Michal Pavelka
Let (M,J) be a dynamical model of macroscopic systems and (N,K) a less microscopic model (i.e. a model involving less details) of the same macroscopic systems; M and N are manifold…
Generalization of the dynamical lack-of-fit reduction
Michal Pavelka, Vaclav Klika, Miroslav Grmela
The lack-of-fit statistical reduction, developed and formulated first by Bruce Turkington, is a general method taking Liouville equation for probability density (detailed level) an…
Pattern formation in reaction-diffusion systems with piece-wise kinetic modulation: an example study of heterogeneous kinetics
Michal Kozák, Eamonn A Gaffney, Václav Klika
The study of pattern emergence together with exploration of the exemplar Turing model is enjoying a renaissance both from theoretical and experimental perspective. Here, we impleme…
From One Pattern into Another: Analysis of Turing Patterns in Heterogeneous Domains via WKBJ
Andrew L. Krause, Václav Klika, Thomas E. Woolley +1
Pattern formation from homogeneity is well-studied, but less is known concerning symmetry-breaking instabilities in heterogeneous media. It is nontrivial to separate observed spati…
On Hamiltonian continuum mechanics
Michal Pavelka, Ilya Peshkov, Vaclav Klika
Continuum mechanics can be formulated in the Lagrangian frame (addressing motion of individual continuum particles) or in the Eulerian frame (addressing evolution of fields in an i…
Turing conditions for pattern forming systems on evolving manifolds
Robert A. Van Gorder, Václav Klika, Andrew L. Krause
The study of pattern-forming instabilities in reaction-diffusion systems on growing or otherwise time-dependent domains arises in a variety of settings, including applications in d…