Zobrazeno 1 - 10
of 124
pro vyhledávání: '"Klika, Vaclav"'
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 entropy into the SPH, so that the pressure can also depend on the temperatu
Externí odkaz:
http://arxiv.org/abs/2406.14229
This study investigates transient wave dynamics in Turing pattern formation, focusing on waves emerging from localised disturbances. While the traditional focus of diffusion-driven instability has primarily centred on stationary solutions, considerab
Externí odkaz:
http://arxiv.org/abs/2403.09247
Autor:
Krause, Andrew L., Gaffney, Eamonn A., Jewell, Thomas Jun, Klika, Václav, Walker, Benjamin J.
Symmetry-breaking instabilities play an important role in understanding the mechanisms underlying the diversity of patterns observed in nature, such as in Turing's reaction--diffusion theory, which connects cellular signalling and transport with the
Externí odkaz:
http://arxiv.org/abs/2308.15311
Smoothed Particle Hydrodynamics (SPH) methods are advantageous in simulations of fluids in domains with free boundary. Special SPH methods have also been developed to simulate solids. However, there are situations where the matter behaves partly as a
Externí odkaz:
http://arxiv.org/abs/2207.00063
Despite the fact that the theory of mixtures has been part of non-equilibrium thermodynamics and engineering for a long time, it is far from complete. While it is well formulated and tested in the case of mechanical equilibrium (where only diffusion-
Externí odkaz:
http://arxiv.org/abs/2206.14930
Autor:
Sykora, Martin, Pavelka, Michal, Peshkov, Ilya, Minakowski, Piotr, Klika, Vaclav, Romenski, Evgeniy
How to properly describe continuum thermodynamics of binary mixtures where each constituent has its own momentum? The Symmetric Hyperbolic Thermodynamically Consistent (SHTC) framework and Hamiltonian mechanics in the form of the General Equation for
Externí odkaz:
http://arxiv.org/abs/2201.04460
In the nearly seven decades since the publication of Alan Turing's work on morphogenesis, enormous progress has been made in understanding both the mathematical and biological aspects of his proposed reaction-diffusion theory. Some of these developme
Externí odkaz:
http://arxiv.org/abs/2106.08375
Autor:
Kováč, Juraj, Klika, Václav
Asymptotic analysis has become a common approach in investigations of reaction-diffusion equations and pattern formation, especially when considering generalizations to the original model, such as spatial heterogeneity, where finding an analytic solu
Externí odkaz:
http://arxiv.org/abs/2104.09593
The classical mass action law in chemical kinetics is put into the context of multiscale thermodynamics.Despite the purely dissipative character of the classical mass action law, inertial effects also play a role in chemical kinetics. Therefore, the
Externí odkaz:
http://arxiv.org/abs/2103.11004
Realistic examples of reaction-diffusion phenomena governing spatial and spatiotemporal pattern formation are rarely isolated systems, either chemically or thermodynamically. However, even formulations of `open' reaction-diffusion systems often negle
Externí odkaz:
http://arxiv.org/abs/2009.13114