Results 61 to 70 of about 87,152,843 (234)
Field Solutions of Parametric PDEs [PDF]
We consider mesh based approaches for training neural network to produce field predictions to parametric partial differential equations (PDEs). This is in contrast to current approaches for ‘neural PDE solvers’ that employ collocation approaches to make ...
Ganapathysubramanian, Baskar +6 more
core
ABSTRACT The consumption of green tea (Camellia sinensis (L.) Kuntze) in the form of encapsulated dietary supplements has increased substantially in recent years; however, data supporting toxicological risk assessment of inorganic contaminants in these products remain limited.
Amanda da Silva Chaves +6 more
wiley +1 more source
Positive Solutions for Singular Boundary Value Problem with p-Laplacian
[[abstract]]In this paper, five functionals fixed point theorem is extended and applied to singular boundary value problem with p-Laplacian.
Yu, Ti-an, Ge, Wei-gao
core
New evolution PDEs with many isochronous solutions [PDF]
Certain nonlinear evolution PDEs in 1+1 variables (time and space) are identified, featuring a positive parameter to and evolving, for a large class of initial data, periodically with the fixed period T = 27 pi/omega (or perhaps (T) over tilde = pT with ...
N. Euler +8 more
core +1 more source
ABSTRACT Digital platform (DP) enterprises have risen to the top of the global economy by inverting traditional business models. They earn money through matchmaking, transaction facilitation, and efficient orchestration of other stakeholders' resources.
Lukas R. G. Fitz, Jochen Scheeg
wiley +1 more source
Multiple boundary peak solutions for some singularly perturbed Neumann problems [PDF]
We consider the problem \left \{ \begin{array}{rcl} \varepsilon^2 \Delta u - u + f(u) = 0 & \mbox{ in }& \ \Omega\\ u > 0 \ \mbox{ in} \ \Omega, \ \frac{\partial u}{\partial \nu} = 0 & \mbox{ on }& \ \partial\Omega, \end{array} \right. where \
Gui, Changfeng +8 more
core +1 more source
Kernel Bounds for Parabolic Operators Having First‐Order Degeneracy at the Boundary
ABSTRACT We study kernel estimates for parabolic problems governed by singular elliptic operators ∑i,j=1N+1qijDij+cDyy,cγ+1>0,γ=qN+1,N+1,$$\begin{equation*} \sum _{i,j=1}^{N+1}q_{ij}D_{ij}+c\frac{D_y}{y},\qquad \frac{c}{\gamma }+1>0, \quad \gamma =q_{N+1,N+1}, \end{equation*}$$in the half‐space R+N+1={(x,y):x∈RN,y>0}$\mathbb {R}^{N+1}_+=\lbrace (x,y ...
L. Negro, C. Spina
wiley +1 more source
Solutions for the Cahn-Hilliard Equation With Many Boundary Spike Layers [PDF]
In this paper we construct new classes of stationary solutions for the Cahn-Hilliard equation by a novel approach. One of the results is as follows: Given a positive integer K and a (not necessarily nondegenerate) local minimum point of the mean
Winter, M, Wei, J
core +1 more source
ABSTRACT This paper focuses on optimal design problems in the context of the Kirchhoff‐Love model for pure bending of a thin, solid, symmetric plate under a transverse load. The objective is to simultaneously determine the optimal outer shape of the domain and the distribution of two isotropic materials within the domain in order to minimize compliance.
Ivana Crnjac +2 more
wiley +1 more source
On the Global Asymptotic Stability of an Infection‐Age‐Structured Competitive Model
ABSTRACT We investigate an infection‐age‐structured competitive epidemiological model involving multiple strains. While classical results establish competitive exclusion when a unique maximal basic reproduction number exists, we provide here a complete characterization of the asymptotic behavior for an arbitrary number of populations without assuming ...
S. Girel, Q. Richard
wiley +1 more source

