Results 11 to 20 of about 236,568 (372)
On elliptic partial differential equations in bioimpedance [PDF]
Journal 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
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An elliptic partial differential equation and its application [PDF]
Applied 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
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Elliptic Partial Differential Equations of Second Order
, 1977 David Gilbarg, Neil S. Trudinger
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International 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
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Transonic Shocks In Multidimensional Divergent Nozzles [PDF]
, 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
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Study of an elliptic partial differential equation modelling the Antarctic Circumpolar Current
Discrete 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]
, 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
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An optimal adaptive Fictitious Domain Method [PDF]
, 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
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The Helically-Reduced Wave Equation as a Symmetric-Positive System [PDF]
, 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.
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Application of decomposition to hyperbolic, parabolic, and elliptic partial differential equations
International 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
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