Results 51 to 60 of about 236,568 (372)
Numerical solution of a critical Sobolev exponent problem with weight on š3
In this paper, we prove the existence of a positive solution for elliptic nonlinear partial differential equation with weight involving a critical exponent of Sobolev imbedding on $ \mathbb {S}^{3} $ .
Adel Almarashi+3 more
doaj +1 more source
Massively parallel solvers for elliptic partial differential equations in numerical weather and climate prediction [PDF]
The demand for substantial increases in the spatial resolution of global weather and climate prediction models makes it necessary to use numerically efficient and highly scalable algorithms to solve the equations of largeāscale atmospheric fluid dynamics.
E. Müller, Robert Scheichl
semanticscholar +1 more source
Radiotherapy medical physics in the Philippines: A contemporary overview
Abstract Purpose With cancer ranking as the third leading cause of death in the Philippines and a disparity in healthcare resources across regions, this research aimed to assess the state of radiotherapy medical physics in the country. Methodology The study utilized a comprehensive online survey with 94 structured questions answered by 19 clinics ...
John Paul C. Cabahug+4 more
wiley +1 more source
Hamiltonian identities for elliptic partial differential equations
AbstractNew identities for elliptic partial differential equations are obtained. Several applications are discussed. In particular, Young's law for the contact angles in triple junction formation is proven rigorously. Structure of level curves of saddle solutions to AllenāCahn equation are also carefully analyzed.
Changfeng Gui, Changfeng Gui
openaire +2 more sources
Chromatin, which organizes DNA, changes its structure to adapt to stress like high oxygen levels (hyperoxia), which can damage cells. Researchers developed a technique to observe these changes and found variability in how different parts of chromatin remodel.
Lauren Monroe+4 more
wiley +1 more source
Cloaking for a quasi-linear elliptic partial differential equation
In this article we consider cloaking for a quasi-linear elliptic partial differential equation of divergence type defined on a bounded domain in $\mathbb{R}^N$ for $N=2,3$.
Brown, AndrƩ EX+11 more
core +8 more sources
Classification of Exact Solutions for Generalized Form of Equation
The classification of exact solutions, including solitons and elliptic solutions, to the generalized equation by the complete discrimination system for polynomial method has been obtained.
Hasan Bulut
doaj +1 more source
A double inverse problem for Fredholm integro-differential equation of elliptic type
In this paper the double inverse problem for partial differential equations is considered. The method of studying the one value solvability of the double inverse problem for a Fredholm integro-differential equation of elliptic type with degenerate kernel
Tursun K Yuldashev
doaj +1 more source
Mechanisms of Deāicing by Surface Rayleigh and Plate Lamb Acoustic Waves
Ice accretion impacts daily life, renewable energy generation, maintenance, and security in industries and aeronautics. Acoustic waves (AW) are a promising method for ice removal, although deāicing mechanisms require further investigation to optimize energy efficiency.
Shilpi Pandey+15 more
wiley +1 more source
In this paper, we apply the (Gā²/G)-expansion method based on three auxiliary equations, namely, the generalized Riccati equation $ G^{\prime}(\xi ) = r + pG(\xi ) + q{G^2}(\xi ) $ , the Jacobi elliptic equation $ {({G^{\prime}(\xi )} )^2} = R + Q{G^2 ...
Ayad M. Shahoot+4 more
doaj +1 more source