Nonlinear Dynamics, Fluid Dynamics, Classical Optics, etc.-Hydrodynamies beyond Navier-Stokes: Exact Solution to the Lattice Boltzmann Hierarchy
S Ansumali , IY Karlin , S Arcidiacono , A Abbas
Physical Review Letters 98 ( 12) 124502 -124502
2007
Reconstruction lemma and fluctuation-dissipation theorem
Iliya V. Karlin , Alexander N. Gorban
Revista Mexicana De Fisica 48 ( 1) 238 -242
6
2002
Canonical distribution functions in polymer dynamics. (II). Liquid-crystalline polymers
Iliya V. Karlin , Hans Christian Öttinger , Martin Kröger , Martin Kröger
Physica A-statistical Mechanics and Its Applications 319 134 -150
37
2003
Invariant Grids for Reaction Kinetics
Iliya V. Karlin , Alexander N. Gorban , Andrei Yu. Zinovyev
Social Science Research Network
106
2003
Kinetic Simulations of Compressible Non-Ideal Fluids: From Supercritical Flows to Phase-Change and Exotic Behavior
Iliya V. Karlin , Benedikt Dorschner , Ehsan Reyhanian
Computation 9 ( 2) 13
2021
Constructive methods of invariant manifolds for kinetic problems
Alexander N. Gorban , Iliya V. Karlin , Andrei Yu. Zinovyev
Physics Reports 396 ( 4) 197 -403
191
2004
Gradient expansions in kinetic theory of phonons
Iliya V. Karlin , G. Dukek , T. F. Nonnenmacher
Physical Review B 55 ( 10) 6324 -6329
16
1997
Canonical distribution functions in polymer dynamics. (I). Dilute solutions of flexible polymers
Patrick Ilg , Iliya V. Karlin , Hans Christian Öttinger
Physica A: Statistical Mechanics and its Applications 315 ( 3-4) 367 -385
21
2002
Quasi-equilibrium grid algorithm: Geometric construction for model reduction
Eliodoro Chiavazzo , Iliya V. Karlin
Journal of Computational Physics 227 ( 11) 5535 -5560
23
2008
The global relaxation redistribution method for reduction of combustion kinetics
Mahdi Kooshkbaghi , Christos E. Frouzakis , Eliodoro Chiavazzo , Konstantinos Boulouchos
Journal of Chemical Physics 141 ( 4) 044102
10
2014
Free surface entropic lattice Boltzmann simulations of film condensation on vertical hydrophilic plates
Morten A. Hygum , Iliya V. Karlin , Vladimir N. Popok
International Journal of Heat and Mass Transfer 87 576 -582
1
2015
Irreversibility in the short memory approximation
Iliya V. Karlin , Larisa L. Tatarinova , Alexander N. Gorban , Hans Christian Öttinger
arXiv: Statistical Mechanics
11
2003
Dissipative brackets as a tool for kinetic modeling
G. Dukek , Iliya V. Karlin , T.F. Nonnenmacher
Physica A-statistical Mechanics and Its Applications 239 ( 4) 493 -508
8
1997
Invariance correction to Grad’s equations: where to go beyond approximations?
Alexander N. Gorban , Iliya V. Karlin
Continuum Mechanics and Thermodynamics 17 ( 4) 311 -335
2005
Quasi-equilibrium closure hierarchies for the Boltzmann equation
Alexander N. Gorban , Iliya V. Karlin
Physica A-statistical Mechanics and Its Applications 360 ( 2) 325 -364
29
2006
Duality in nonextensive statistical mechanics
Iliya V. Karlin , Miroslav Grmela , Alexander N. Gorban
Physical Review E 65 ( 3) 036128
39
2002
Kinetic boundary conditions in the lattice Boltzmann method.
Santosh Ansumali , Iliya V. Karlin
Physical Review E 66 ( 2) 026311 -026311
300
2002
Family of additive entropy functions out of thermodynamic limit
Alexander N. Gorban , Iliya V. Karlin
Physical Review E 67 ( 1) 016104
54
2003
Single relaxation time model for entropic lattice Boltzmann methods.
Santosh Ansumali , Iliya V. Karlin
Physical Review E 65 ( 5) 056312
111
2002
Boundary layer variational principles: A case study
Miroslav Grmela , Iliya V. Karlin , Vladimir B. Zmievski
Physical Review E 66 ( 1) 011201
11
2002