Hilbert’s 6th Problem: exact and approximate hydrodynamic manifolds for kinetic equations (Q5409932)

scientific article; zbMATH DE number 6285183

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English	Hilbert’s 6th Problem: exact and approximate hydrodynamic manifolds for kinetic equations	scientific article; zbMATH DE number 6285183

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instance of

scholarly article

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title

Hilbert’s 6th Problem: exact and approximate hydrodynamic manifolds for kinetic equations (English)

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Bulletin of the American Mathematical Society

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publication date

15 April 2014

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full work available at URL

https://arxiv.org/abs/1310.0406

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MaRDI profile type

MaRDI publication profile

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cites work

The world of the complex Ginzburg-Landau equation

0 references

PROOF OF A THEOREM OF A. N. KOLMOGOROV ON THE INVARIANCE OF QUASI-PERIODIC MOTIONS UNDER SMALL PERTURBATIONS OF THE HAMILTONIAN

0 references

Q3973844

0 references

A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems

0 references

Numerical Taylor expansions of invariant manifolds in large dynamical systems

0 references

Quasistationary hydrodynamics for the Boltzmann equation.

0 references

Linear diffusive limit of deterministic systems of hard spheres

0 references

Renormalization

0 references

Integral manifolds and inertial manifolds for dissipative partial differential equations

0 references

David Hilbert and the axiomatization of physics (1894--1905)

0 references

Q3997901

0 references

The Boltzmann equation and its applications

0 references

Inertial manifolds and slow manifolds

0 references

On the trend to global equilibrium for spatially inhomogeneous kinetic systems: the Boltzmann equation

0 references

The central limit theorem and the problem of equivalence of ensembles

0 references

On the critical behavior in nonlinear evolutionary PDEs with small viscosity

0 references

On the thermomechanics of interstitial working

0 references

Divergence of Perturbation Theory in Quantum Electrodynamics

0 references

Q5658861

0 references

Geometric singular perturbation theory for ordinary differential equations

0 references

Transversal homoclinic points of a class of conservative diffeomorphisms

0 references

Q5338917

0 references

From Newton to Boltzmann: hard spheres and short-range potentials

0 references

Kinetic theory of gases in shear flows. Nonlinear transport.

0 references

The Navier-Stokes limit of the Boltzmann equation for bounded collision kernels

0 references

Legendre integrators, post-processing and quasi-equilibrium

0 references

Structure and approximations of the chapman-enskog expansion for the linearized grad equations

0 references

Nonarbitrary regularization of acoustic spectra

0 references

Method of invariant manifolds and regularization of acoustic spectra

0 references

Technical note: On “solid liquid” limit of hydrodynamic equations

0 references

Invariant manifolds for physical and chemical kinetics

0 references

Two-step approximation of space-independent relaxation

0 references

On the kinetic theory of rarefied gases

0 references

Role of thermodynamics in multiscale physics

0 references

Q2737647

0 references

A Fast Method for Approximating Invariant Manifolds

0 references

Exact and Chapman-Enskog Solutions of the Boltzmann Equation for the Lorentz Model

0 references

Q5830588

0 references

Invariant manifolds

0 references

Divergence-free WKB theory

0 references

Q4847945

0 references

Q4274985

0 references

Simplest nonlinear regularization

0 references

Exact summation of the Chapman-Enskog expansion from moment equations

0 references

Hydrodynamics from Grad's equations: What can we learn from exact solutions?

0 references

Singular PDEs and the problem of finding invariant manifolds for nonlinear dynamical systems

0 references

A new model reduction method for nonlinear dynamical systems

0 references

Q5796456

0 references

Q4754553

0 references

Q5829223

0 references

A method of graph transformation type for numerical simulation of invariant manifolds

0 references

Effects of a saturating dissipation in Burgers-type equations

0 references

New approach to the Mott-Smith method for shock waves

0 references

The small dispersion limit of the Korteweg-de Vries equation. III

0 references

Moment closure hierarchies for kinetic theories.

0 references

Q4337021

0 references

Une approche locale de la limite incompressible

0 references

Boltzmann equation: micro-macro decompositions and positivity of shock profiles

0 references

Energy method for Boltzmann equation

0 references

Q3138769

0 references

A simple model of the derivation of fluid mechanics from the Boltzmann equation

0 references

One-Dimensional Slow Invariant Manifolds for Fully Coupled Reaction and Micro-scale Diffusion

0 references

THE EXACT RENORMALIZATION GROUP AND APPROXIMATE SOLUTIONS

0 references

Convergent series expansions for quasi-periodic motions

0 references

Explicit Coercivity Estimates for the Linearized Boltzmann and Landau Operators

0 references

Navier-Stokes approximation and problems of the Chapman-Enskog projection for kinetic equations

0 references

Equations of Motion in Nonequilibrium Statistical Mechanics

0 references

From the BGK model to the Navier–Stokes equations

0 references

Hydrodynamic limits of the Boltzmann equation

0 references

A mathematical PDE perspective on the Chapman–Enskog expansion

0 references

The Quasi-Steady-State Assumption: A Case Study in Perturbation

0 references

Q2736011

0 references

Admissibility criteria for propagating phase boundaries in a van der Waals fluid

0 references

Renormalization of the Chapman-Enskog expansion: Isothermal fluid flow and Rosenau saturation

0 references

Constitutive relations for monatomic gases based on a generalized rational approximation to the sum of the Chapman-Enskog expansion

0 references

Chapman-Enskog $⇒$ viscosity-capillarity

0 references

From Boltzmann to Euler: Hilbert's 6th problem revisited

0 references

Q2753194

0 references

A new look at independence

0 references

Infinite-dimensional dynamical systems in mechanics and physics

0 references

0 references

0 references

0 references

0 references

THE COMPLEXITY OF FINITE OBJECTS AND THE DEVELOPMENT OF THE CONCEPTS OF INFORMATION AND RANDOMNESS BY MEANS OF THE THEORY OF ALGORITHMS

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Identifiers

zbMATH Open document ID

1294.35052

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DOI

10.1090/S0273-0979-2013-01439-3

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5409932