scholarly journals Layer potential theory for the anisotropic Stokes system with variable L ∞ symmetrically elliptic tensor coefficient

2021 ◽  
Author(s):  
Mirela Kohr ◽  
Sergey E. Mikhailov ◽  
Wolfgang L. Wendland
Keyword(s):  
Potential Theory ◽  
Stokes System ◽  
Layer Potential ◽  
Tensor Coefficient

scholarly journals Some spectral properties of an integral operator in potential theory

1986 ◽  
Vol 29 (3) ◽  
pp. 405-411 ◽  
Author(s):  
John F. Ahner
Keyword(s):  
Potential Theory ◽  
Spectral Properties ◽  
Three Dimensional ◽  
Single Layer ◽  
Integral Operators ◽  
Normal Derivative ◽  
Potential Operator ◽  
Single Layer Potential ◽  
Layer Potential ◽  
Integral Equation Methods

In [7] Plemelj established some fundamental results in two- and three-dimensional potential theory about the eigenvalues of both the double layer potential operator and its adjoint, the normal derivative of the single layer potential operator. In [3] Blumenfeld and Mayer established some additional results concerning the eigenvalues of these integral operators in the case of ℝ2. The spectral properties established by Plemelj [7] and by Blumenfeld and Mayer [3] have had a profound effect in the area of integral equation methods in scattering and potential theory in both ℝ2 and ℝ3.

scholarly journals Transient elasticity imaging and time reversal

2011 ◽  
Vol 141 (6) ◽  
pp. 1121-1140 ◽  
Author(s):  
Habib Ammari ◽  
Lili Guadarrama Bustos ◽  
Hyeonbae Kang ◽  
Hyundae Lee
Keyword(s):  
Elastic Wave ◽  
Time Reversal ◽  
Stokes System ◽  
Quantitative Estimation ◽  
Field Measurements ◽  
Geometrical Parameters ◽  
Far Field ◽  
Layer Potential ◽  
Incompressible Elasticity ◽  
Wave Induced

We consider a purely quasi-incompressible elasticity model. We rigorously establish asymptotic expansions of near- and far-field measurements of the transient elastic wave induced by a small elastic anomaly. Our proof uses layer potential techniques for the modified Stokes system. Based on these formulae, we design asymptotic imaging methods leading to a quantitative estimation of elastic and geometrical parameters of the anomaly.

Potential Theory and Right Processes

2004 ◽  
Author(s):  
Lucian Beznea ◽  
Nicu Boboc
Keyword(s):  
Potential Theory

scholarly journals Some preliminary observations on a defect Navier–Stokes system

2019 ◽  
Vol 347 (10) ◽  
pp. 677-684 ◽  
Author(s):  
Amit Acharya ◽  
Roger Fosdick
Keyword(s):  
Stokes System ◽  
Navier Stokes
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