prof. Ing. Václav Klika Ph.D.

ON THE COMPATIBILITY OF SHARP AND DIFFUSE INTERFACES OUT OF EQUILIBRIUM

Year of publication
2024
Publication
Multiscale Modeling & Simulation. 2024, 22(1), 369-405. ISSN 1540-3459.
Authors
Klika, V. Ottinger, H. C.
Link
https://doi.org/10.1137/22M1529294

Turing Instabilities are Not Enough to Ensure Pattern Formation

Year of publication
2024
Publication
BULLETIN OF MATHEMATICAL BIOLOGY. 2024, 86(2), ISSN 0092-8240.
Authors
Krause, A. L. Gaffney, E. A. Jewell, T. J. Klika, V.
Link
https://doi.org/10.1007/s11538-023-01250-4

Comparison of the symmetric hyperbolic thermodynamically compatible framework with Hamiltonian mechanics of binary mixtures

Year of publication
2024
Publication
Continuum Mechanics and Thermodynamics. 2024, 36(3), 539-559. ISSN 0935-1175.
Authors
Sykora, M. Pavelka, M. Peshkov, I. Minakowski, P. Klika, V.
Link
https://doi.org/10.1007/s00161-024-01281-9

Onsager-Casimir reciprocal relations as a consequence of the equivalence between irreversibility and dissipation

Year of publication
2024
Publication
Journal of Non-Equilibrium Thermodynamics. 2024, 49(1), 1-10. ISSN 0340-0204.
Authors
Klika, V. Brechet, S. D.
Link
https://doi.org/10.1515/jnet-2023-0069

Towards systematic approach to boundary conditions in mixture and multiphasic incompressible models: Maximum Entropy principle estimate

Year of publication
2023
Publication
International Journal of Engineering Science. 2023, 191 ISSN 0020-7225.
Authors
Klika, V. Votinská, B.
Link
https://doi.org/10.1016/j.ijengsci.2023.103902

Unified description of fluids and solids in Smoothed Particle Hydrodynamics

Year of publication
2023
Publication
APPLIED MATHEMATICS AND COMPUTATION. 2023, 439 ISSN 0096-3003.
Authors
Kincl, O. Peshkov, I. Pavelka, M. Klika, V.
Link
https://doi.org/10.1016/j.amc.2022.127579

The developmental basis of fingerprint pattern formation and variation

Year of publication
2023
Publication
Cell. 2023, 186(5), 940-956. ISSN 1097-4172.
Authors
Glover, J.D. Sudderick, Z.R. Shih, B.B.-J. Batho-Samblas, C. Klika, V.
Link
https://doi.org/10.1016/j.cell.2023.01.015

Upscaling the Poisson-Nernst-Planck equations for ion transport in weakly heterogeneous charged porous media

Year of publication
2023
Publication
Applied Mathematics Letters. 2023, 137 ISSN 0893-9659.
Authors
Klika, V. Gaffney, Eamonn A.
Link
https://doi.org/10.1016/j.aml.2022.108482

LIOUVILLE-GREEN APPROXIMATION FOR LINEARLY COUPLED SYSTEMS: ASYMPTOTIC ANALYSIS WITH APPLICATIONS TO REACTION-DIFFUSION SYSTEMS

Year of publication
2022
Publication
Discrete and Continuous Dynamical Systems. Series S. 2022, 15(9), 2553-2579. ISSN 1937-1632.
Authors
Kováč, J. Klika, V.
Link
https://doi.org/10.3934/dcdss.2022133

A multiscale thermodynamic generalization of Maxwell-Stefan diffusion equations and of the dusty gas model

Year of publication
2022
Publication
International Journal of Heat and Mass Transfer. 2022, 199 ISSN 0017-9310.
Authors
Vagner, P. Pavelka, M. Fuhrmann, J. Klika, V.
Link
https://doi.org/10.1016/j.ijheatmasstransfer.2022.123405

Modern perspectives on near-equilibrium analysis of Turing systems

Year of publication
2021
Publication
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2021, 379(2213), ISSN 1471-2962.
Authors
Krause, Andrew L. Gaffney, Eamonn A. Maini, Philip K. Klika, V.
Link
https://doi.org/10.1098/rsta.2020.0268

Turing conditions for pattern forming systems on evolving manifolds

Year of publication
2021
Publication
Journal of Mathematical Biology. 2021, 82(1-2), ISSN 0303-6812.
Authors
Van Gorder, Robert A. Klika, V. Krause, Andrew L.
Link
https://doi.org/10.1007/s00285-021-01552-y

Isolating Patterns in Open Reaction-Diffusion Systems

Year of publication
2021
Publication
BULLETIN OF MATHEMATICAL BIOLOGY. 2021, 83(7), ISSN 0092-8240.
Authors
Krause, Andrew L. Klika, V. Maini, Philip K. Headon, D.
Link
https://doi.org/10.1007/s11538-021-00913-4

Generalization of the Dynamical Lack-of-Fit Reduction from GENERIC to GENERIC

Year of publication
2020
Publication
Journal of Statistical Physics. 2020, 181(1), 19-52. ISSN 0022-4715.
Authors
Pavelka, M. Klika, V. Grmela, M.
Link
https://doi.org/10.1007/s10955-020-02563-7

From one pattern into another: analysis of Turing patterns in heterogeneous domains via WKBJ

Year of publication
2020
Publication
JOURNAL OF THE ROYAL SOCIETY INTERFACE. 2020, 17(162), ISSN 1742-5689.
Authors
Krause, Andrew L. Klika, V. Woolley, Thomas E. Gaffney, Eamonn A.
Link
https://doi.org/10.1098/rsif.2019.0621

Gradient and GENERIC time evolution towards reduced dynamics

Year of publication
2020
Publication
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences. 2020, 378(2170), ISSN 1364-503X.
Authors
Grmela, M. Klika, V. Pavelka, M.
Link
https://doi.org/10.1098/rsta.2019.0472

Dynamic and Renormalization-Group Extensions of the Landau Theory of Critical Phenomena

Year of publication
2020
Publication
Entropy. 2020, 22(9), ISSN 1099-4300.
Authors
Grmela, M. Klika, V. Pavelk, M.
Link
https://doi.org/10.3390/e22090978

Entropy and Entropy Production in Multiscale Dynamics

Year of publication
2019
Publication
Journal of Non-Equilibrium Thermodynamics. 2019, 44(3), 217-233. ISSN 0340-0204.
Authors
Grmela, M. Pavelka, M. Klika, V. Cao, B.
Link
https://doi.org/10.1515/jnet-2018-0059