Results 11 to 18 of about 26 (18)

Steady flow of an incompressible perfectly conducting fluid past a thin airfoil

Boundary Value Problems, 2013
We consider the linearized Euler and Maxwell equations and Ohm’s law. We calculate the fundamental matrix and give integral representations for the velocity, magnetic induction and pressure.
A. Carabineanu
semanticscholar   +2 more sources

Characterization of surjective partial differential operators on spaces of real analytic functions

, 2004
Let A(Ω) denote the real analytic functions defined on an open set Ω ⊂ R. We show that a partial differential operator P (D) with constant coefficients is surjective on A(Ω) if and only if for any relatively compact open ω ⊂ Ω, P (D) admits (shifted ...
M. Langenbruch
semanticscholar   +1 more source

Holomorphic functions with growth conditions

, 1975
Let P be a p x q matrix of polynomials in n complex variables. If Q2 is a domain of holomorphy in Cnand u is a q-tuple of holomorphic functions we show that the equafion Pv = Pu has a solution v which is a holomorphic qtuple in Q2 and which satisfies an ...
Bent E. Petersen
semanticscholar   +1 more source

A general formula for fundamental solutions of linear partial differential equations with constant coefficients

, 1994
In this note we present a formula which furnishes particular fundamental solutions of linear partial differential equations with constant coefficients.
G. May
semanticscholar   +1 more source

Systems of partial differential operators with fundamental solutions supported by a cone

, 1980
Necessary and sufficient conditions are given for a system of partial differential operators to have a fundamental solution supported by a convex salient cone. As a simple application an overdetermined Cauchy problem is solved. If A is a subset of R' and
K. Lancaster, Bent E. Petersen
semanticscholar   +1 more source

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Domain-Decomposition Localized Method of Fundamental Solutions for Large-Scale Heat Conduction in Anisotropic Layered Materials

Advances in Applied Mathematics and Mechanics, 2022
The localized method of fundamental solutions (LMFS) is a relatively new meshless boundary collocation method. In the LMFS, the global MFS approximation which is expensive to evaluate is replaced by local MFS formulation defined in a set of overlapping ...
Shuai Liu, Zhuojia Fu null, Y. Gu
semanticscholar   +1 more source

The new exact solutions of the new coupled Konno-Oono equation by using extended simplest equation method

, 2018
The extended simplest equation method is employed to solve new coupled Konno-Oono equation. By means of this scheme, we found new exact solution. The method is straight for ward, concise and effective, it can also be applied to other nonlinear solution ...
M. Torvattanabun, Papraporn Juntakud, Adsadawut Saiyun, Nattawut Khansai   +3 more
semanticscholar   +1 more source

Conservation laws and multiple simplest equation methods to an extended quantum Zakharov-Kuznetsov equation

, 2016
The extended quantum Zakharov-Kuznetsov (QZK) equation, which arises in the study of astrophysics is investigated. Exact traveling wave solutions are obtained by using distinct types of the simplest equation method namely, the simplest equation method ...
S. El‐Ganaini, M. A. Akbar
semanticscholar   +1 more source