Invariant manifolds for physical and chemical kinetics

From MaRDI portal
Publication:1768505

DOI10.1007/b98103zbMath1086.82009OpenAlexW1581063030WikidataQ57384877 ScholiaQ57384877MaRDI QIDQ1768505

Iliya V. Karlin, Alexander N. Gorban

Publication date: 15 March 2005

Published in: Lecture Notes in Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/b98103




Related Items (69)

A novel method to automate FGM progress variable with application to igniting combustion systemsOn the role of geometry in statistical mechanics and thermodynamics. II. Thermodynamic perspectiveMultiscale mesoscopic entropy of driven macroscopic systemsOn the dynamic role of energy in underdamped particle motionOverview of the entropy production of incompressible and compressible fluid dynamicsData-driven discovery of multiscale chemical reactions governed by the law of mass actionAdaptive observers and parameter estimation for a class of systems nonlinear in the parametersApproximate Symmetry in Nonlinear Physics ProblemsToward a Quantitative Reduction of the SIR Epidemiological ModelEditorial: Grasping complexityRole of thermodynamics in multiscale physicsA hierarchy of maximum entropy closures for Galerkin systems of incompressible flowsMethodology for a nullcline-based model from direct experiments: applications to electrochemical reaction modelsGeometry of the Computational Singular Perturbation MethodModel Reduction of Biochemical Reactions Networks by Tropical Analysis MethodsEvolutionary Γ-convergence of gradient systems modeling slow and fast chemical reactionsTowards a consistent lattice Boltzmann model for two-phase fluidsMaximum-entropy closure for a Galerkin model of an incompressible periodic wakeA new model reduction method for nonlinear dynamical systemsExternally driven macroscopic systems: dynamics versus thermodynamicsScaling and expansion of moment equations in kinetic theoryTowards Differential Geometric Characterization of Slow Invariant Manifolds in Extended Phase Space: Sectional Curvature and Flow InvarianceAn optimization principle for deriving nonequilibrium statistical models of Hamiltonian dynamicsInertial effects and long-term transport properties of particle motion in washboard potentialOn intermediate attractorsReduced-order state reconstruction for nonlinear dynamical systems in the presence of model uncertaintyOn the Maxwell problemConstraint-defined manifolds: a legacy code approach to low-dimensional computationCausal hydrodynamics from kinetic theory by doublet scheme in renormalization-group methodNon-local hydrodynamics as a slow manifold for the one-dimensional kinetic equationAlgorithmic criteria for the validity of quasi-steady state and partial equilibrium models: the Michaelis-Menten reaction mechanismKnowledge-informed neuro-integrators for aggregation kineticsOn geometry of multiscale mass action law and its fluctuationsModel reduction of Brownian oscillators: quantification of errors and long-time behaviorApproximation of slow and fast dynamics in multiscale dynamical systems by the linearized relaxation redistribution methodModelling linear reactions in inhomogeneous catalytic systemsAsymptotics of conduction velocity restitution in models of electrical excitation in the heartA model-reduction method for nonlinear discrete-time skew-product dynamical systems in the presence of model uncertaintySlow hydrodynamic manifolds for the three-component linearized Grad systemGeneralization of the dynamical lack-of-fit reduction from GENERIC to GENERICUniversal Lyapunov functions for non-linear reaction networksFluctuations in extended mass-action-law dynamicsPhysical understanding of complex multiscale biochemical models via algorithmic simplification: glycolysis in saccharomyces cerevisiaeA METHOD FOR INFERRING HIERARCHICAL DYNAMICS IN STOCHASTIC PROCESSESOn aspects of the dynamic behavior of persistent chemicals in a multimedia environment related to exposure-based hazard assessmentConservation laws and their hyperbolic regularizationsAn optimal model identification for oscillatory dynamics with a stable limit cycleQuasi-equilibrium grid algorithm: geometric construction for model reductionStable simulation of fluid flow with high-Reynolds number using Ehrenfest's stepsStochastic Bifurcations, Chaos and Phantom Attractors in the Langford System with ToriEfficient spectral methods for quasi-equilibrium closure approximations of symmetric problems on unit circle and sphereHilbert’s 6th Problem: exact and approximate hydrodynamic manifolds for kinetic equationsHydrodynamical model for charge transport in grapheneLie Group Analysis for Multi-Scale Plasma DynamicsThe extension of the ILDM concept to reaction–diffusion manifoldsMinimal curvature trajectories: Riemannian geometry concepts for slow manifold computation in chemical kineticsNewton-Krylov solvers for the equation-free computation of coarse traveling wavesA geometric method for model reduction of biochemical networks with polynomial rate functionsGlobal Persistence of Lyapunov Subcenter Manifolds as Spectral Submanifolds under Dissipative PerturbationsLow-order model for successive bifurcations of the fluidic pinballEntropic multi-relaxation time lattice Boltzmann model for complex flowsInvariant manifolds for dissipative systemsHyperbolic regularizations of conservation lawsGradient and GENERIC time evolution towards reduced dynamicsSlow manifolds for dissipative dynamical systemsRelating the thermodynamic arrow of time to the causal arrowLearning Physics from Data: A Thermodynamic InterpretationFrom snapshots to manifolds – a tale of shear flowsA reduction scheme for coupled Brownian harmonic oscillators




This page was built for publication: Invariant manifolds for physical and chemical kinetics