Results 41 to 50 of about 18,335 (312)

A Cauchy integral method to solve the 2D Dirichlet and Neumann problems for irregular simply-connected domains

open access: yesУчёные записки Казанского университета: Серия Физико-математические науки, 2018
A method for construction of solutions to the continuous approximate 2D Dirichlet and Neumann problems in the arbitrary simply-connected domain with a smooth boundary has been discussed.
A. El-Shenawy, E.A. Shirokova
doaj  

Dirichlet's Problem

open access: yesThe Annals of Mathematics, 1922
"Reprinted from Annals of mathematics, vol. XXIII., no. 3, March, 1922." ; Cover title. ; Thesis (PH.D.)--Princeton University, 1923. ; Mode of access: Internet.
openaire   +1 more source

Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons

open access: yesCommunications on Pure and Applied Mathematics, EarlyView.
Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
wiley   +1 more source

Dirichlet boundary value problem for Duffing's equation

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2013
We use direct variational method in order to investigate the dependence on parameter for the solution for a Duffing type equation with Dirichlet boundary value conditions.
Piotr Kowalski
doaj   +1 more source

Time‐Domain Geoelectrical Modeling and Experimental Validation of Ground Potential Rise in Multilayer Soil Structures during Fault Events

open access: yesEnergy Science &Engineering, EarlyView.
This study develops a time‐domain geoelectrical model of ground potential rise (GPR) in multilayer soil that couples electromagnetic field theory with nonlinear fault arc resistance. Finite‐element simulations calibrated against scaled fault‐injection experiments reproduce measured GPR and step/touch voltages within 4.7% error, revealing that steady ...
Wulfran Fendzi Mbasso   +7 more
wiley   +1 more source

Theoretical Model of Transient Regression of Thermoplastic Materials During Flame Spread: Vaporization; Permanent Mass Loss; Surface Shape

open access: yesFire and Materials, EarlyView.
ABSTRACT This article examines a transient, one‐dimensional model of surface regression during opposed flow flame spread over finite thickness, non‐charring thermoplastics. Gas to solid conductive transfer from the flame drives sample heating. The solid degrades into volatile fuel molecules in two stages: (1) the pre‐vaporization heat‐up stage and (2 ...
Indrek S. Wichman   +4 more
wiley   +1 more source

The estimates of the solution of the Dirichlet problem with boundary function from Lp for a second-order elliptic equation

open access: yesVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2011
We study the solvability of the Dirichlet problem for a second-order elliptic equation with measurable and bounded coefficients. Assuming that coefficients of equation are Dini-continued on the boundary, it is established that there is the unique ...
A. K. Gushchin
doaj   +3 more sources

Quasilinearization and boundary value problems for Riemann-Liouville fractional differential equations

open access: yesElectronic Journal of Differential Equations, 2019
We apply the quasilinearization method to a Dirichlet boundary value problem and to a right focal boundary value problem for a Riemann-Liouville fractional differential equation.
Paul W. Eloe, Jaganmohan Jonnalagadda
doaj  

On the Dirichlet Boundary Value Problem for the Cauchy-Riemann Equations in the Half Disc

open access: yesEuropean Journal of Mathematical Analysis
In this article, we investigate the Dirichlet boundary value problem for the Cauchy-Riemann equations in the half disc. First, using the technique of parqueting–reflection and the Cauchy-Pompeiu representation formula for a half disc, we obtain an ...
Ali Darya, Nasir Tagizadeh
doaj   +1 more source

Pseudo-differential equations and conical potentials: 2-dimensional case [PDF]

open access: yesOpuscula Mathematica, 2019
We consider two-dimensional elliptic pseudo-differential equation in a plane sector. Using a special representation for an elliptic symbol and the formula for a general solution we study the Dirichlet problem for such equation.
Vladimir B. Vasilyev
doaj   +1 more source

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