Results 71 to 80 of about 1,323,976 (332)

Perturbation in a Free Boundary Problem

Journal of Mathematical Analysis and Applications, 1994
This paper is concerned with the Dirichlet boundary value problem for a semilinear elliptic partial differential equation with a discontinuous nonlinearity on the unit ball \(B\) in \(\mathbb{R}^2\). Precisely, the authors consider the problem for \(u\) with two positive parameters \(\lambda\) and \(\varepsilon\): \[ - \Delta u= (\lambda+ \varepsilon g(
Boucherif, Abdelkader, Bouguima, Mohamed
openaire   +2 more sources

Current Tracking Adaptive Control of Brushless DC Motors

International Journal of Adaptive Control and Signal Processing, EarlyView.
In this paper, the current tracking for Brushless Direct Current motors is approached considering uncertainty in the parameters of the motor's model. An adaptive control scheme to compensate electrical parameters uncertainty is proposed without requiring any knowledge of the mechanical parameters.
Fernanda Ramos‐García, Axel Coronado‐Andrade, Gerardo Espinosa‐Pérez, Luis Alvarez‐Icaza   +3 more
wiley   +1 more source

Enabling Digital Continuity in Virtual Manufacturing for Eco‐Efficiency Assessment of Lightweight Structures by Means of a Domain‐Specific Structural Mechanics Language: Requirements, Idea and Proof of Concept

Advanced Engineering Materials, EarlyView.
This article presents a solver‐agnostic domain‐specific language (DSL) for computational structural mechanics that strengthens interoperability in virtual product development. Using a hierarchical data model, the DSL enables seamless exchange between diverse simulation tools and numerical methods.
Martin Rädel, Andreas Schuster, Felix Schoenitz, Jean Lefèvre   +3 more
wiley   +1 more source

Continuity of the free boundary in elliptic problems with Neuman boundary condition

Electronic Journal of Differential Equations, 2015
We show the continuity of the free boundary in a class of two dimensional free boundary problems with Neuman boundary condition, which includes the aluminium electrolysis problem and the heterogeneous dam problem with leaky boundary condition.
Abderachid Saadi
doaj  

Self-similar solutions of a multi-phase Stefan problem on the half-line

Современная математика: Фундаментальные направления
In this paper, we study self-similar solutions of the multiphase Stefan problem for the heat equation on the half-line x 0 with constant initial data and Dirichlet or Neumann boundary conditions. In the case of the Dirichlet boundary condition, we prove
E. Yu. Panov
doaj   +1 more source

ONE DIMENSIONAL COMBUSTION FREE BOUNDARY PROBLEM [PDF]

Glasgow Mathematical Journal, 2004
Summary: A free boundary problem for a parabolic system arising from the mathematical theory of combustion is considered in the one-dimensional case. The existence and uniqueness of the classical solution local in time is obtained by the use of a fixed point theorem.
openaire   +1 more source

A Workflow to Accelerate Microstructure‐Sensitive Fatigue Life Predictions

Advanced Engineering Materials, EarlyView.
This study introduces a workflow to accelerate predictions of microstructure‐sensitive fatigue life. Results from frameworks with varying levels of simplification are benchmarked against published reference results. The analysis reveals a trade‐off between accuracy and model complexity, offering researchers a practical guide for selecting the optimal ...
Luca Loiodice, Krzysztof S. Stopka, Michael D. Sangid   +2 more
wiley   +1 more source

Perturbation of the free boundary in elliptic problem with discontinuities

Electronic Journal of Differential Equations, 2016
We study the discontinuous elliptic problem $$\displaylines{ -\Delta u = \lambda H(u-\mu ) \quad \text{in } \Omega,\cr u =h \quad \text{on }\partial \Omega, }$$ where $\Omega$ is a regular bounded domain of $\mathbb{R}^n$, $H$ is the Heaviside ...
Sabri Bensid
doaj  

Stability of Solutions to a Free Boundary Problem for Tumor Growth

International Journal of Differential Equations, 2014
We study the asymptotic behaviour of quasi-stationary solutions of a free boundary problem which had been discussed by Bueno (2005). Using a simpler method we prove that the quasi-steady solutions of the problem converge uniformly to the unique ...
Shihe Xu
doaj   +1 more source

Design and Prototyping of Topology‐Optimized, Additively Manufactured Lightweight Components for Space Robotic Systems: A Case Study

Advanced Engineering Materials, EarlyView.
The results demonstrate a simulation‐driven workflow that applies LSB topology optimization with additive manufacturing constraints to mission‐specific load cases, integrating European Cooperation for Space Standardization compliant verification and manufacturability to develop structurally efficient rover suspension components.
Stelios K. Georgantzinos, Grigorios Kostopoulos, Eleni Papadopoulou, Stefanos Voulgaris, Alexandra Tseni, Panteleimon Bakalis, Maria N. Gkara, Chara Ch. Mitropoulou, Georgios Kazakis, Alin Munteanu, Jeremi Gancet, Nikos D. Lagaros   +11 more
wiley   +1 more source