scholarly journals Conditions at infinity for the inhomogeneous filtration equation

2014 ◽  
Vol 31 (2) ◽  
pp. 413-428 ◽  
Author(s):  
Gabriele Grillo ◽  
Matteo Muratori ◽  
Fabio Punzo
Keyword(s):  
Filtration Equation ◽  
Conditions At Infinity

scholarly journals Traveling waves for a time delayed Newtonian filtration equation

2013 ◽  
Vol 254 (1) ◽  
pp. 1-29 ◽  
Author(s):  
Chunhua Jin ◽  
Jingxue Yin ◽  
Sining Zheng
Keyword(s):  
Traveling Waves ◽  
Filtration Equation

scholarly journals Uniqueness of very weak solutions for a fractional filtration equation

2020 ◽  
Vol 365 ◽  
pp. 107041 ◽  
Author(s):  
Gabriele Grillo ◽  
Matteo Muratori ◽  
Fabio Punzo
Keyword(s):  
Weak Solutions ◽  
Very Weak Solutions ◽  
Filtration Equation

scholarly journals Center conditions at infinity for Abel differential equations

2010 ◽  
Vol 172 (1) ◽  
pp. 437-483 ◽  
Author(s):  
Miriam Briskin ◽  
Nina Roytvarf ◽  
Yosef Yomdin
Keyword(s):  
Differential Equations ◽  
Center Conditions ◽  
Abel Differential Equations ◽  
Conditions At Infinity

scholarly journals Explicit solution of the jump problem for the Laplace equation and singularities at the edges

2001 ◽  
Vol 7 (1) ◽  
pp. 1-13 ◽  
Author(s):  
P. A. Krutitskii
Keyword(s):  
Boundary Value Problem ◽  
Explicit Form ◽  
Laplace Equation ◽  
Explicit Solution ◽  
Existence Theorems ◽  
Single Layer ◽  
Normal Derivative ◽  
Jump Problem ◽  
Uniqueness And Existence ◽  
Conditions At Infinity

The boundary value problem for the Laplace equation outside several cuts in a plane is studied. The jump of the solution of the Laplace equation and the jump of its normal derivative are specified on the cuts. The problem is studied under different conditions at infinity, which lead to different uniqueness and existence theorems. The solution of this problem is constructed in the explicit form by means of single layer and angular potentials. The singularities at the ends of the cuts are investigated.

Proper Boundary Conditions for Infinitely Layered Orthotropic Media

2000 ◽  
Vol 67 (3) ◽  
pp. 629-632
Author(s):  
E. L. Bonnaud ◽  
J. M. Neumeister
Keyword(s):  
Boundary Conditions ◽  
Layered Medium ◽  
Integral Transforms ◽  
Numerical Treatment ◽  
Problem Size ◽  
Transfer Matrix Approach ◽  
Stress Functions ◽  
Orthotropic Media ◽  
First Time ◽  
Conditions At Infinity

A stress analysis of a plane infinitely layered medium subjected to surface loadings is performed using Airy stress functions, integral transforms, and a revised transfer matrix approach. Proper boundary conditions at infinity are for the first time established, which reduces the problem size by one half. Methods and approximations are also presented to enable numerical treatment and to overcome difficulties inherent to such formulations. [S0021-8936(00)01103-X]

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