Results 81 to 90 of about 1,423,257 (284)

The Existence and Behavior of Solutions for Nonlocal Boundary Problems

open access: yesBoundary Value Problems, 2009
The purpose of this work is to investigate the uniqueness and existence of local solutions for the boundary value problem of a quasilinear parabolic equation. The result is obtained via the abstract theory of maximal regularity. Applications are given to
Shengzhou Zheng, Yuandi Wang
doaj   +1 more source

Ulam stability to a toppled systems of nonlinear implicit fractional order boundary value problem

open access: yesBoundary Value Problems, 2018
In this manuscript, we give some sufficient conditions for existence, uniqueness and various kinds of Ulam stability for a toppled system of fractional order boundary value problems involving the Riemann–Liouville fractional derivative.
Zeeshan Ali, Akbar Zada, Kamal Shah
doaj   +1 more source

Experimental Evaluation of 100Cr6 Steel Microindented Surfaces Under Lubricated Nonconformal Point Contacts

open access: yesAdvanced Engineering Materials, EarlyView.
The tribological behavior of 100Cr6 steel spheres textured via Vickers microindentation is evaluated under lubricated sliding by varying both dimple size and density. Fine and dense textures significantly reduce friction across all lubrication regimes, while large dimples increase it.
Farideh Davoodi   +3 more
wiley   +1 more source

Global Optimal Regularity for the Parabolic Polyharmonic Equations

open access: yesBoundary Value Problems, 2010
We show the global regularity estimates for the following parabolic polyharmonic equation in under proper conditions. Moreover, it will be verified that these conditions are necessary for the simplest heat equation in .
Yao Fengping
doaj  

The well-posedness of an anisotropic parabolic equation based on the partial boundary value condition

open access: yesBoundary Value Problems, 2017
Consider the anisotropic parabolic equation with the variable exponent u t = ∑ i = 1 N ( a i ( x ) | u x i | p i ( x ) − 2 u x i ) x i , $$ {u_{t}}=\sum_{i=1}^{N} \bigl(a_{i}(x)|u_{x_{i}}|^{p_{i}(x)-2}u_{x_{i}} \bigr)_{x _{i}}, $$ with a i ( x ) $a_{i}(x)
Huashui Zhan
doaj   +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

open access: yesAdvanced 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   +3 more
wiley   +1 more source

Extremal Solutions of Periodic Boundary Value Problems for First-Order Impulsive Integrodifferential Equations of Mixed-Type on Time Scales

open access: yesBoundary Value Problems, 2007
We consider the existence of minimal and maximal solutions of periodic boundary value problems for first-order impulsive integrodifferential equations of mixed-type on time scales by establishing a comparison result and using the monotone iterative ...
Li Yongkun, Zhang Hongtao
doaj  

On the Lightweight Potential of Laser Additive Manufactured NiTi Triply Periodic Minimal Sheet Lattices

open access: yesAdvanced Engineering Materials, EarlyView.
This study explores the lightweight potential of laser additive‐manufactured NiTi triply periodic minimal surface sheet lattices. It systematically investigates the effects of relative density and unit cell size on surface quality, deformation recovery, compression behavior, and energy absorption.
Haoming Mo   +3 more
wiley   +1 more source

A general decay result for a semilinear heat equation with past and finite history memories

open access: yesBoundary Value Problems, 2019
In this paper, we consider the initial-boundary value problem of the following semilinear heat equation with past and finite history memories: ut−Δu+∫0tg1(t−s)div(a1(x)∇u(s))ds+∫0+∞g2(s)div(a2(x)∇u(t−s))ds+f(u)=0,(x,t)∈Ω×[0,+∞), $$\begin{aligned} &u_{t}-\
Rui Yang, Zhong Bo Fang
doaj   +1 more source

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