Global weak solutions of the Boltzmann equation in a slab with diffusive boundary conditions

C. Cercignani; R. Illner

doi:10.1007/bf00376253

Global weak solutions of the Boltzmann equation in a slab with diffusive boundary conditions

Archive for Rational Mechanics and Analysis ◽

10.1007/bf00376253 ◽

1996 ◽

Vol 134 (1) ◽

pp. 1-16 ◽

Cited By ~ 14

Author(s):

C. Cercignani ◽

R. Illner

Keyword(s):

Boltzmann Equation ◽

Boundary Conditions ◽

Weak Solutions ◽

Global Weak Solutions ◽

The Boltzmann Equation ◽

Diffusive Boundary

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Trend to equilibrium of weak solutions of the Boltzmann equation in a slab with diffusive boundary conditions

Journal of Statistical Physics ◽

10.1007/bf02179661 ◽

1996 ◽

Vol 84 (3-4) ◽

pp. 875-888 ◽

Cited By ~ 1

Author(s):

C. Cercignani

Keyword(s):

Boltzmann Equation ◽

Boundary Conditions ◽

Weak Solutions ◽

The Boltzmann Equation ◽

Diffusive Boundary

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Global Weak Solutions of the Boltzmann Equation

Journal of Statistical Physics ◽

10.1007/s10955-004-8786-4 ◽

2005 ◽

Vol 118 (1-2) ◽

pp. 333-342 ◽

Cited By ~ 13

Author(s):

Carlo Cercignani

Keyword(s):

Boltzmann Equation ◽

Weak Solutions ◽

Global Weak Solutions ◽

The Boltzmann Equation

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Boundedness of the Stationary Solution to the Boltzmann Equation with Spatial Smearing, Diffusive Boundary Conditions, and Lions' Collision Kernel

SIAM Journal on Mathematical Analysis ◽

10.1137/17m1160446 ◽

2018 ◽

Vol 50 (6) ◽

pp. 5761-5782

Author(s):

Jörg-Uwe Löbus

Keyword(s):

Boltzmann Equation ◽

Boundary Conditions ◽

Stationary Solution ◽

Collision Kernel ◽

The Boltzmann Equation ◽

Diffusive Boundary

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Evaluation of Various Types of Wall Boundary Conditions for the Boltzmann Equation

42nd AIAA Thermophysics Conference ◽

10.2514/6.2011-3620 ◽

2011 ◽

Author(s):

Christopher Wilson ◽

Ramesh Agarwal ◽

Felix Tcheremissine

Keyword(s):

Boltzmann Equation ◽

Boundary Conditions ◽

Wall Boundary ◽

The Boltzmann Equation ◽

Wall Boundary Conditions

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Nanoscale roughness effect on Maxwell-like boundary conditions for the Boltzmann equation

Physics of Fluids ◽

10.1063/1.4960024 ◽

2016 ◽

Vol 28 (8) ◽

pp. 082004 ◽

Cited By ~ 4

Author(s):

S. Brull ◽

P. Charrier ◽

L. Mieussens

Keyword(s):

Boltzmann Equation ◽

Boundary Conditions ◽

Roughness Effect ◽

The Boltzmann Equation ◽

Nanoscale Roughness

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Weak Solutions of the Boltzmann Equation Without Angle Cutoff

Journal of Statistical Physics ◽

10.1007/s10955-006-9115-x ◽

2006 ◽

Vol 123 (4) ◽

pp. 753-762 ◽

Cited By ~ 1

Author(s):

Carlo Cercignani

Keyword(s):

Boltzmann Equation ◽

Weak Solutions ◽

The Boltzmann Equation

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Instantaneous exponential lower bound for solutions to the Boltzmann equation with Maxwellian diffusion boundary conditions

Kinetic and Related Models ◽

10.3934/krm.2015.8.281 ◽

2015 ◽

Vol 8 (2) ◽

pp. 281-308 ◽

Cited By ~ 4

Author(s):

Marc Briant

Keyword(s):

Boltzmann Equation ◽

Lower Bound ◽

Boundary Conditions ◽

Diffusion Boundary ◽

The Boltzmann Equation ◽

Exponential Lower Bound

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Existence and trend to equilibrium of weak solutions of the boltzmann equation

Nonlinear Analysis ◽

10.1016/s0362-546x(96)00121-6 ◽

1997 ◽

Vol 30 (6) ◽

pp. 3749-3761

Author(s):

C. Cercignani

Keyword(s):

Boltzmann Equation ◽

Weak Solutions ◽

The Boltzmann Equation

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Initial-Boundary value problems for the Boltzmann equation: Global existence of weak solutions

Archive for Rational Mechanics and Analysis ◽

10.1007/bf01837113 ◽

1992 ◽

Vol 119 (4) ◽

pp. 309-353 ◽

Cited By ~ 45

Author(s):

K. Hamdache

Keyword(s):

Boltzmann Equation ◽

Global Existence ◽

Boundary Value Problems ◽

Weak Solutions ◽

Boundary Value ◽

Initial Boundary ◽

Initial Boundary Value Problems ◽

Existence Of Weak Solutions ◽

The Boltzmann Equation ◽

Initial Boundary Value

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Scattering kernels for the boundary conditions of the boltzmann equation on the moving boundary of two-phase systems

Meccanica ◽

10.1007/bf02128356 ◽

1978 ◽

Vol 13 (3) ◽

pp. 127-132 ◽

Cited By ~ 1

Author(s):

Nicola Bellomo ◽

Roberto Monaco

Keyword(s):

Boltzmann Equation ◽

Boundary Conditions ◽

Moving Boundary ◽

Two Phase ◽

The Boltzmann Equation ◽

Phase Systems

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