Results 141 to 150 of about 516,813 (372)

Solvability of Quasilinear Elliptic Equations with Nonlinear Boundary Conditions [PDF]

, 1982
Gary M. Lieberman
openalex   +1 more source

Ghost effect from Boltzmann theory

Communications on Pure and Applied Mathematics, EarlyView.
Abstract Taking place naturally in a gas subject to a given wall temperature distribution, the “ghost effect” exhibits a rare kinetic effect beyond the prediction of classical fluid theory and Fourier law in such a classical problem in physics. As the Knudsen number ε$\varepsilon$ goes to zero, the finite variation of temperature in the bulk is ...
Raffaele Esposito, Yan Guo, Rossana Marra, Lei Wu   +3 more
wiley   +1 more source

Exact Solutions of a Class of Nonlinear Elliptic Systems of a Special Type

Известия Иркутского государственного университета: Серия "Математика", 2015
In paper the problem of construction of exact solutions for nonlinear system of two equations of elliptic type is studied. Nonlinear systems of the equations of elliptic type are applied as mathematical models in the theory warm and a mass transfer of ...
A.A. Kosov, E.I. Semenov
doaj  

An existence result for variational problems and applications to some nonlinear hyperbolic and elliptic equations involving critical Sobolev exponents [PDF]

, 1987
Mario Michele Coclite
openalex   +1 more source

Electron Density Structure Measurements With Scattered Intense Laser Beam

Contributions to Plasma Physics, EarlyView.
ABSTRACT Short‐pulse intense lasers have the potential to model extreme astrophysical environments in laboratories. Although there are diagnostics for energetic electrons and ions resulting from laser‐plasma interactions, the diagnostics to measure velocity distribution functions at the interaction region of the laser and plasma are limited.
K. Sakai, K. Himeno, S. J. Tanaka, T. Asai, T. Minami, Y. Abe, F. Nikaido, K. Kuramoto, M. Kanasaki, H. Kiriyama, A. Kon, K. Kondo, N. Nakanii, W. Y. Woon, C. M. Chu, K. T. Wu, C. S. Jao, Y. L. Liu, T. A. Pikuz, H. Kohri, A. O. Tokiyasu, S. Isayama, H. S. Kumar, K. Tomita, Y. Fukuda, Y. Kuramitsu   +25 more
wiley   +1 more source

Failure characteristics and the energy criterion of rock with a through‐going joint under true‐triaxial unloading conditions: Insights from the DEM model

Deep Underground Science and Engineering, EarlyView.
The rock failure mode is significantly influenced by the contributing factors, such as the joint inclination, the initial confining pressure, and the unloading point. We found six typical rock failure modes after a large number of numerical tests. Abstract Excavation unloading damages rock masses, with preferential failure along geological defects in ...
Fei Liu, Changhui Liang, Sijia Liu, Yongjun Zhang, Luo Wang   +4 more
wiley   +1 more source

On the solvability of nonlinear elliptic equations in Sobolev spaces [PDF]

, 1992
Piotr Fijałkowski
openalex   +1 more source

A Note on a Nonlinear Elliptic Equation [PDF]

Indiana University Mathematics Journal, 1972
openaire   +2 more sources

A unique solution to a nonlinear elliptic equation

Journal of Mathematical Analysis and Applications, 2010
AbstractThe purpose of this paper is to prove the existence of a unique, classical solution u:Ω→R to the nonlinear elliptic partial differential equation −∇⋅(a(u(x))∇u(x))=f(x) under periodic boundary conditions, where u(x0)=u0 at x0∈Ω, with Ω=TN, the N-dimensional torus, and N=2,3.
openaire   +2 more sources

Generalized Matsuoka–Nakai criterion considering hydrostatic pressure dependence in the brittle–ductile region

Deep Underground Science and Engineering, EarlyView.
Three sets of strength data were selected, including hydrostatic pressure independent within the brittle region (HPI‐B), hydrostatic pressure dependent within the brittle region (HPD‐B), and hydrostatic pressure dependent within the brittle–ductile region (HPD‐BD). For HPI type, the failure envelope within the deviatoric plane remains constant.
Jiacun Liu, Junjie Xiao, Dongping Liu, Ying Xu   +3 more
wiley   +1 more source