Results 141 to 150 of about 634,419 (341)

On regularity of weak solutions to boundary value problems for quasilinear elliptic differential equations of higher order [PDF]

, 1975
Manfred Müller, Jindřich Nečas
openalex   +1 more source

Weak solution of boundary value problem for the orthotropic plate reinforced with stiffening ribs [PDF]

, 1975
Ján Lovíšek
openalex   +1 more source

The Poisson equation from non-local to local

Electronic Journal of Differential Equations, 2018
We analyze the limiting behavior as $s\to 1^-$ of the solution to the fractional Poisson equation $(-\Delta)^s{u_s}=f_s$, $x\in\Omega$ with homogeneous Dirichlet boundary conditions $u_s\equiv 0$, $x\in\Omega^c$. We show that $\lim_{s\to 1^-} u_s =u$,
Umberto Biccari, Victor Hernandez-Santamaria   +1 more
doaj  

Global existence of weak solutions for a Willis-type model of elastodynamics [PDF]

arXiv
The global existence of weak solutions to a system related to the Willis model of elastodynamics is shown. The equations are reformulated as a linear hyperbolic system for which the existence of weak solutions is known.
arxiv  

On the Weak Solution of Moving Boundary Problems [PDF]

, 1979
A.B. Crowley
openalex   +1 more source

Weak solutions for a strongly-coupled nonlinear system

Electronic Journal of Differential Equations, 2006
In this paper the authors study the existence of local weak solutions of the strongly nonlinear system $$displaylines{ u''+mathcal{A}u +f(u,v)u = h_1 cr v''+mathcal{A}v +g(u,v)v = h_2 }$$ where $mathcal{A}$ is the pseudo-Laplacian operator and $f$, $g$, $
Osmundo A. Lima, Aldo T. Louredo, Alexandro O. Marinho   +2 more
doaj  

From 2D to 3D gamma passing rate tolerance and action limits for patient‐specific quality assurance in volumetric‐modulated arc therapy

Journal of Applied Clinical Medical Physics, EarlyView.
Abstract Background Volumetric modulated arc therapy (VMAT) requires an accurate patient‐specific quality assurance (PSQA) program. In clinical practice, this is usually performed using the γ‐index and the two‐dimensional gamma passing rate (2D %GP). A three‐dimensional (3D) index incorporating the patient anatomy could be more useful for the 3D dose ...
Christos Zarros, George Patatoukas, Nikos Kollaros, Marina Chalkia, Andromachi Kougioumtzopoulou, Vasilios Kouloulias, Kalliopi Platoni   +6 more
wiley   +1 more source

Digital Light Processing of 2D Lattice Composites for Tunable Self‐Sensing and Mechanical Performance

Advanced Engineering Materials, EarlyView., 2023
The study presents the mechanical and in situ sensing performance of digital light processing‐enabled 2D lattice nanocomposites under monotonic tensile and repeated cyclic loading, and provides guidelines for the design of architectures suitable for strain sensors and smart lightweight structures.
Omar Waqas Saadi, Mohammed Ayaz Uddin, Andreas Schiffer, Shanmugam Kumar   +3 more
wiley   +1 more source

The Stability Principle and global weak solutions of the free surface semi-geostrophic equations in geostrophic coordinates. [PDF]

Proc Math Phys Eng Sci, 2019
Cullen MJP, Kuna T, Pelloni B, Wilkinson M.   +3 more
europepmc   +1 more source

A review of artificial intelligence in brachytherapy

Journal of Applied Clinical Medical Physics, EarlyView.
Abstract Artificial intelligence (AI) has the potential to revolutionize brachytherapy's clinical workflow. This review comprehensively examines the application of AI, focusing on machine learning and deep learning, in various aspects of brachytherapy.
Jingchu Chen, Richard L. J. Qiu, Tonghe Wang, Shadab Momin, Xiaofeng Yang   +4 more
wiley   +1 more source