A version of the discrete-ordinates method is used to solve in a unified manner some classical flow problems based on the Bhatnagar, Gross and Krook model in the theory of rarefiedgas dynamics. In particular, the thermal-creep problem and the viscous-slip (Kramers’) problem are solved for the case of a semi-infinite medium, and the Poiseuille-flow problem, the Couetteflow problem and the therma...

UV radiation below an Arctic vortex with severe ozone depletion B. M. Knudsen, H. Jønch-Sørensen, P. Eriksen, B. J. Johnsen, and G. E. Bodeker Danish Meteorological Institute, Copenhagen, Denmark Norwegian Radiation Protection Authority, Oslo, Norway National Institute of Water and Atmospheric Research, Lauder, New Zealand Received: 11 April 2005 – Accepted: 12 May 2005 – Published: 12 July 200...

In this paper, we justify the convergence from two-species Vlasov-Poisson-Boltzmann (in briefly,VPB) system to two-fluid incompressible Navier-Stokes-Fourier-Poisson briefly, NSFP) with Ohm's law in context of classical solutions. We prove uniform estimates respect Knudsen number $\varepsilon$ for solutions VPB near equilibrium by treating strong interspecies interactions. Consequently, NSFP as...

We study steady Boltzmann equation in half-space, which arises the Knudsen boundary layer problem, with diffusive reflection conditions. Under certain admissible conditions and source term decaying exponentially, we establish existence of solution for both linear nonlinear half-space condition $L^\infty_{x,v}$ when far-field Mach number Maxwellian is zero. The continuity spacial decay are obtai...

in the framework of collection and identification of bolete fungi of iran, one specimen from the genus strobilomyces was collected and identified as strobilomyces strobilaceus (scop.) berk., based on knudsen & vesterholt (2008).

This paper briefly reviews recent work on gaseous plume impingement flows. As the major part of this paper, also included are new comprehensive studies on high-speed, collisionless, gaseous, circular jet impinging on a three-dimensional, inclined, diffuse or specular flat plate. Gaskinetic theories are adopted to study the problems, and several crucial geometry-location and velocity-direction r...

In this paper, we derive 7 quadratic relations over GF (2) from the input and output bits of the S-boxes of DES. We apply one of those to an improved linear attack of full round DES. We describe an improved algorithm by combining the non-linear approximation method proposed by Knudsen and Robshaw, and the multiple approximation method proposed by Kaliski and Robshaw. This improvement can reduce...

We consider the 3D stationary Boltzmann equation in convex domains with diffuse-reflection boundary condition. rigorously derive steady incompressible Navier-Stokes-Fourier system and justify asymptotic convergence as Knudsen number $ {\varepsilon} shrinks to zero. The proof is based on an intricate analysis of layers geometric correction focuses technical difficulties caused by singularity col...

In Ref.[1-4] we have obtained new hydrodynamic equations beyond a traditional framework of Knudsen number expansions. Approaches of paper [1 J and of papers [3-4] are markedly different. In Ref.[l], a perturbation theory similar to KAM-theory was developed for the Boltzmann equation, and it was based on Newton iterative procedures and parametrix expansions. No asymptotic expansions in powers of...

Two recent works have shown that at small Knudsen number (K) the pressure and temperature profiles in plane Poiseuille flow exhibit a different qualitative behavior from the profiles obtained by the Navier-Stokes equations. Tij and Santos [J. Stat. Phys. 76, 1399 (1994)] used the Bhatnagar-Gross-Kook model to show that the temperature profile is bimodal and the pressure profile is nonconstant. ...