Stationary Boltzmann's equation with Maxwell's boundary conditions in a bounded domain

1992 ◽  
Vol 15 (6) ◽  
pp. 375-393 ◽  
Author(s):  
Andrzej Palczewski
Keyword(s):  
Boundary Conditions ◽  
Bounded Domain ◽  
Boltzmann's Equation ◽  
Boltzmann’S Equation ◽  
Maxwell’S Boundary Conditions

Boundary Conditions for the Macroscopic Slip Velocity on a Curved Wall

1974 ◽  
Vol 29 (2) ◽  
pp. 296-298 ◽  
Author(s):  
V. Lehmann ◽  
W. J. C. Mueller
Keyword(s):  
Boundary Conditions ◽  
Slip Velocity ◽  
Curved Walls ◽  
Boltzmann's Equation ◽  
Boltzmann’S Equation

Equations for the macroscopic slip velocity on curved walls are derived using the Chapman- Enskog solution of Boltzmann’s equation.

Multiple solutions for a non-homogeneous elliptic equation at the critical exponent

2004 ◽  
Vol 134 (1) ◽  
pp. 69-87 ◽  
Author(s):  
Mónica Clapp ◽  
Manuel Del Pino ◽  
Monica Musso
Keyword(s):  
Elliptic Equation ◽  
Boundary Conditions ◽  
Critical Exponent ◽  
Bounded Domain ◽  
Multiple Solutions ◽  
Dirichlet Boundary ◽  
Dirichlet Boundary Conditions ◽  
Sign Changing Solutions ◽  
Homogeneous Elliptic Equation

We consider the equation−Δu = |u|4/(N−2)u + εf(x) under zero Dirichlet boundary conditions in a bounded domain Ω in RN exhibiting certain symmetries, with f ≥ 0, f ≠ 0. In particular, we find that the number of sign-changing solutions goes to infinity for radially symmetric f, as ε → 0 if Ω is a ball. The same is true for the number of negative solutions if Ω is an annulus and the support of f is compact in Ω.

Sign in / Sign up

Export Citation Format

Share Document