Results 41 to 50 of about 2,277 (262)
Maximum Principles for Dynamic Equations on Time Scales and Their Applications
Journal of Applied Mathematics, 2014 We consider the second dynamic operators of elliptic type on time scales. We establish basic generalized maximum principles and apply them to obtain weak comparison principle for second dynamic elliptic operators and to obtain the uniqueness of Dirichlet
Shuqing Zhou, Hui Li
doaj +1 more source
An elliptic boundary value problem occurring in magnetohydrodynamics
manuscripta mathematica, 1993 Let \(\alpha, \beta \in \mathbb{R}\), \(\alpha < \beta\), \(I_{\alpha, \beta} : = (\alpha, \beta) \times \mathbb{R}\). The authors consider the elliptic operator \[ Lu : = - \sum^ 2_{i=1} D_ i \left( \sum^ 2_{j = 1} a_{ij} (x) D_ ju + a_ i (x)u \right) + \sum^ 2_{i = 1} \overline a_ i (x)D_ i u + a_ 0(x)u \] in \(I_{\alpha, \beta}\). Here \((a_{ij} (x))
Mennicken, R., Faierman, M., Möller, M.
openaire +2 more sources
Advanced Robotics Research, EarlyView.Pak Biawak, a necrobot, embodies an unusual fusion of biology and robotics. Designed to repurpose natural structures after death, it challenges conventional boundaries between nature and engineering. Its movements are precise yet unsettling, raising questions about sustainability, ethics, and the untapped potential of biointegrated machines.
Leo Foulds +2 more
wiley +1 more source
Generalized boundary value problems for nonlinear elliptic equations
Electronic Journal of Differential Equations, 2001 We give here an overview of some recent developments in the study of the description of all the positive solutions of {equation} -Delta u+|u|^{q-1}u=0 label{NLE} end{equation} in a domain $Omega$ where $q>1$.
Laurent Veron
doaj
Irregular Elliptic Boundary-Value Problems and Hörmander Spaces [PDF]
Ukrainian Mathematical Journal, 2018 We investigate nonregular elliptic problems with boundary conditions of higher orders. We prove that these problems are Fredholm on appropriate pairs of inner product Hörmander spaces that form a two-sided refined Sobolev scale. We also prove a theorem on the regularity of generalized solutions to the problems in these spaces.
Anop, A. V. +2 more
openaire +2 more sources
Systematic Exploration of 3D Concrete Printing Parameters for Conformal Printing on Sloped Surfaces
Advanced Robotics Research, EarlyView.A conformal slicing algorithm is developed for robotic 3D concrete printing (3DCP) on sloped surfaces as a first step toward printing slab‐on‐grade foundations on uneven terrain. Systematic experiments quantify the effects of nozzle speed, extrusion rate, and toolpath direction on filament dimension and stability.
Paniz Farrokhsiar +2 more
wiley +1 more source
Bounds for nonlinear eigenvalue problems
Electronic Journal of Differential Equations, 2001 We develop a technique for obtaining bounds on bifurcation curves of nonlinear boundary-value problems defined through nonlinear elliptic partial differential equations.
Rafael D. Benguria +1 more
doaj
Application of the numerically obtained fundamental solutions in the field point-source method
Advanced Engineering Research, 2016 The work objective is to obtain an integral equation by which, using the known fundamental solution to the other equation, it is possible to find a fundamental solution to the linear elliptic equation. The concept of a numerical fundamental solution (NFS)
Sergey Yu. Knyazev +1 more
doaj +1 more source
The Sharpiro–Lopatinskij Condition for Elliptic Boundary Value Problems [PDF]
LMS Journal of Computation and Mathematics, 2006 AbstractElliptic boundary value problems are well posed in suitable Sobolev spaces, if the boundary conditions satisfy the Shapiro–Lopatinskij condition. We propose here a criterion (which also covers over-determined elliptic systems) for checking this condition.
Katsiaryna Krupchyk, Jukka Tuomela
openaire +2 more sources
Helix Alignment, Chevrons, and Edge Dislocations in Twist‐Bend Ferroelectric Nematics
Advanced Science, EarlyView.The recently discovered twist‐bend ferroelectric nematic (NTBF) is the new member of the multiferroic family, representing a fluid with an oblique helicoidal (heliconical) periodic structure of spontaneous electric polarization. The work presents a thorough exploration of the material properties of this phase, how the periodic modulation of ...
Bijaya Basnet +8 more
wiley +1 more source