Results 81 to 90 of about 1,423,257 (284)
The Existence and Behavior of Solutions for Nonlocal Boundary Problems
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
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Ulam stability to a toppled systems of nonlinear implicit fractional order boundary value problem
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
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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
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Global Optimal Regularity for the Parabolic Polyharmonic Equations
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
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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
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Geodetic Boundary Value Problems III
Veröffentlichungen des Zentralinstituts für Physik der Erde ...
openaire +9 more sources
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
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
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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
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A general decay result for a semilinear heat equation with past and finite history memories
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
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