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1
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A Neumann problem for a convection-diffusion equation on the half-line

100%
Biler P., Karch G.
Annales Polonici Mathematici
|
2000
|
tom 74
|
nr 1
79-95
EN
We study solutions to a nonlinear parabolic convection-diffusion equation on the half-line with the Neumann condition at x=0. The analysis is based on the properties of self-similar solutions to that problem.
2
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Harmonic functions in a cylinder with normal derivatives vanishing on the boundary

100%
Miyamoto I., Yoshida H.
Annales Polonici Mathematici
|
2000
|
tom 74
|
nr 1
229-235
EN
A harmonic function in a cylinder with the normal derivative vanishing on the boundary is expanded into an infinite sum of certain fundamental harmonic functions. The growth condition under which it is reduced to a finite sum of them is given.
3
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Neumann problem for one-dimensional nonlinear thermoelasticity

100%
Shibata Y.
Banach Center Publications
|
1992
|
tom 27
|
nr 2
457-480
EN
The global existence theorem of classical solutions for one-dimensional nonlinear thermoelasticity is proved for small and smooth initial data in the case of a bounded reference configuration for a homogeneous medium, considering the Neumann type boundary conditions: traction free and insulated. Moreover, the asymptotic behaviour of solutions is investigated.
4
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The finite speed of propagation of solutions of the Neumann problem of a degenerate parabolic equation

88%
Pan J.
Open Mathematics
|
2011
|
tom 9
|
nr 3
673-685
EN
In this paper the finite speed of propagation of solutions and the continuous dependence on the nonlinearity of a degenerate parabolic partial differential equation are discussed. Our objective is to derive an explicit expression for the speed of propagation and the large time behavior of the solution and to show that the solution continuously depends on the nonlinearity of the equation.
5
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An existence result for a quadrature surface free boundary problem

63%
Barkatou M., Seck D., Ly I.
Open Mathematics
|
2005
|
tom 3
|
nr 1
39-57
EN
The aim of this paper is to present two different approachs in order to obtain an existence result to the so-called quadrature surface free boundary problem. The first one requires the shape derivative calculus while the second one depends strongly on the compatibility condition of the Neumann problem. A necessary and sufficient condition of existences is given in the radial case.
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