Results 11 to 20 of about 236,568 (372)

On elliptic partial differential equations in bioimpedance [PDF]

open access: yesJournal of Elliptic and Parabolic Equations, 2020
AbstractThis paper deals with mathematical models in electrical bioimpedance fields that are described by means of elliptic partial differential equations (PDEs). To find solutions that have practical significance and value, it is necessary to gain a deep understanding of the underlying physical phenomena with the parameter details of PDE models as ...
Jin Keun Seo   +2 more
openaire   +2 more sources

An elliptic partial differential equation and its application [PDF]

open access: yesApplied Mathematics Letters, 2020
This paper deals with the following elliptic equation \begin{equation*} -2 ^{2} z+\left\| \nabla z\right\| ^{2}+4 z=4\left\| x\right\| ^{2}\text{ for }x\in \mathbb{R}^{N}\text{, (}% N\geq 1\text{),} \end{equation*}% where $ >0,$ $ >0$ are some real parameters. The solution method is based on the sub- and super-solutions approach. The case $N&
Dragos-Patru Covei, Traian A. Pirvu
openaire   +3 more sources

Explicit Exact Solutions of the (2+1)-Dimensional Integro-Differential Jaulent–Miodek Evolution Equation Using the Reliable Methods

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2020
In this article, we utilize the G′/G2-expansion method and the Jacobi elliptic equation method to analytically solve the (2 + 1)-dimensional integro-differential Jaulent–Miodek equation for exact solutions.
Supaporn Kaewta   +2 more
doaj   +1 more source

Transonic Shocks In Multidimensional Divergent Nozzles [PDF]

open access: yes, 2010
We establish existence, uniqueness and stability of transonic shocks for steady compressible non-isentropic potential flow system in a multidimensional divergent nozzle with an arbitrary smooth cross-section, for a prescribed exit pressure.
A.G. Kuz’min   +24 more
core   +1 more source

Study of an elliptic partial differential equation modelling the Antarctic Circumpolar Current

open access: yesDiscrete and Continuous Dynamical Systems. Series A, 2019
We consider the ocean flow of the Antarctic Circumpolar Current. Using a recently-derived model for gyres in rotating spherical coordinates, and mapping the problem on the sphere onto the plane using the Mercator projection, we obtain a boundary-value ...
Susanna V. Haziot
semanticscholar   +1 more source

Strong solutions to semilinear SPDEs [PDF]

open access: yes, 2012
We study the Cauchy problem for a semilinear stochastic partial differential equation driven by a finite-dimensional Wiener process. In particular, under the hypothesis that all the coefficients are sufficiently smooth and have bounded derivatives, we ...
Hofmanova, Martina
core   +6 more sources

An optimal adaptive Fictitious Domain Method [PDF]

open access: yes, 2018
We consider a Fictitious Domain formulation of an elliptic partial differential equation and approximate the resulting saddle-point system using an inexact preconditioned Uzawa iterative algorithm.
Berrone, Stefano   +3 more
core   +2 more sources

The Helically-Reduced Wave Equation as a Symmetric-Positive System [PDF]

open access: yes, 2003
Motivated by the partial differential equations of mixed type that arise in the reduction of the Einstein equations by a helical Killing vector field, we consider a boundary value problem for the helically-reduced wave equation with an arbitrary source ...
Torre, C. G.
core   +4 more sources

Application of decomposition to hyperbolic, parabolic, and elliptic partial differential equations

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1989
The decomposition method is applied to examples of hyperbolic, parabolic, and elliptic partial differential equations without use of linearizatlon techniques.
G. Adomian
doaj   +1 more source

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