Results 71 to 80 of about 5,574,278 (283)
Multiple solutions of nonlinear boundary value problems with oscillatory solutions
We consider two second order autonomous differential equations with critical points, which allow the detection of an exact number of solutions to the Dirichlet boundary value problem.
S. Ogorodnikova, F. Sadyrbaev
doaj +1 more source
Front Propagation Through a Perforated Wall
ABSTRACT We consider a bistable reaction– diffusion equation ut=Δu+f(u)$u_t=\Delta u +f(u)$ on RN${\mathbb {R}}^N$ in the presence of an obstacle K$K$, which is a wall of infinite span with many holes. More precisely, K$K$ is a closed subset of RN${\mathbb {R}}^N$ with smooth boundary such that its projection onto the x1$x_1$‐axis is bounded and that ...
Henri Berestycki +2 more
wiley +1 more source
A Geometric Characterization of Steady Laminar Flow
ABSTRACT We study the steady states of the Euler equations on the periodic channel or annulus. We show that if these flows are laminar (layered by closed non‐contractible streamlines which foliate the domain), then they must be either parallel or circular flows.
Theodore D. Drivas, Marc Nualart
wiley +1 more source
Dirichlet problem Characterization of regularity
The author studies the regularity of the solutions to the Dirichlet problem \[ Lu\equiv -(a_{ij} u_{x_ i} )_{x_ j}= f \quad\text{in }\Omega, \qquad u=0 \quad \text{in }\partial\Omega \tag{1} \] where \(\mu\) is a given bounded variation measure on \(\Omega\) (bounded open subset of \(\mathbb{R}^ n\)), \(a_{ij}= a_{ji}\in L^ \infty (\Omega)\), \(i,j= 1,\
openaire +2 more sources
Distributions of Functionals of the two Parameter Poisson-Dirichlet Process [PDF]
The present paper provides exact expressions for the probability distribution of linear functionals of the two–parameter Poisson–Dirichlet process. Distributional results that follow from the application of an inversion formula for a (generalized) Cauchy–
Antonio Lijoi +2 more
core
Shifting Tides: A Decade of Business Climate Adaptation and Resilience Research (2013–2023)
ABSTRACT Climate change is causing significant disruptions to the socio‐ecological systems in which organizations operate, presenting unprecedented challenges for businesses across sectors in adapting to shifting environmental conditions and building resilience to extreme weather events.
Domenico Villano +3 more
wiley +1 more source
The Approximate Solution of 2D Dirichlet Problem in Doubly Connected Domains
We propose a new method for constructing an approximate solution of the two-dimensional Laplace equation in an arbitrary doubly connected domain with smooth boundaries for Dirichlet boundary conditions.
Atallah El-shenawy, Elena A. Shirokova
doaj +1 more source
The Dirichlet problem for the Jacobian equation in critical and supercritical Sobolev spaces. [PDF]
Guerra A, Koch L, Lindberg S.
europepmc +1 more source
Towards a Mean‐Field Braginskii Model for Stellarators
ABSTRACT Experiments in the stellarator Wendelstein 7‐X indicate that particle drifts have a significant impact on the plasma in the scrape‐off layer. However, drift effects have been absent in the mean‐field transport codes such as EMC3‐Eirene. For this reason, we present the first steps towards a mean‐field model that incorporates drifts. The code is
T. Tork +7 more
wiley +1 more source
A Semiautomatic Multi-Label Color Image Segmentation Coupling Dirichlet Problem and Colour Distances. [PDF]
Aletti G, Benfenati A, Naldi G.
europepmc +1 more source

