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An open-source computational framework for immersed fluid-structure interaction modeling using FEBio and MFEM. [PDF]
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Mathematical Methods in the Applied Sciences, 1996
Summary: This paper considers a discontinuous semilinear elliptic problem: \[ - \Delta u= g(u)H(u-\mu) \quad \text{in } \Omega, \qquad u=h \text{ on } \partial \Omega, \] where \(H\) is the Heaviside function, \(\mu\) a real parameter and \(\Omega\) the unit ball in \(\mathbb{R}^2\). We deal with the existence of solutions under suitable conditions on \
Boucherif, Abdelkader +1 more
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Summary: This paper considers a discontinuous semilinear elliptic problem: \[ - \Delta u= g(u)H(u-\mu) \quad \text{in } \Omega, \qquad u=h \text{ on } \partial \Omega, \] where \(H\) is the Heaviside function, \(\mu\) a real parameter and \(\Omega\) the unit ball in \(\mathbb{R}^2\). We deal with the existence of solutions under suitable conditions on \
Boucherif, Abdelkader +1 more
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Studies in Applied Mathematics, 2002
This is a continuation of our earlier article concerning the boundary‐value problem where A, B are prescribed constants, and 0 < ε≪ 1 is a small positive parameter. In that article, we assumed the coefficients a(x) and b(x) are sufficiently smooth functions with the behavior given by a(x) ∼αx and b(x) ∼β as x→ 0, where α> 0 and β/α≠ 1, 2, 3,…. In
Wong, Roderick, Yang, Heping
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This is a continuation of our earlier article concerning the boundary‐value problem where A, B are prescribed constants, and 0 < ε≪ 1 is a small positive parameter. In that article, we assumed the coefficients a(x) and b(x) are sufficiently smooth functions with the behavior given by a(x) ∼αx and b(x) ∼β as x→ 0, where α> 0 and β/α≠ 1, 2, 3,…. In
Wong, Roderick, Yang, Heping
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Journal of Mathematical Physics, 1961
An exact analytic solution is obtained for a uniformly expanding, neutral, infinitely conducting plasma sphere in an external uniform and constant magnetic field.
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An exact analytic solution is obtained for a uniformly expanding, neutral, infinitely conducting plasma sphere in an external uniform and constant magnetic field.
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Synthese, 2006
Where is the justificatory boundary between a true belief’s not being knowledge and its being knowledge? Even if we put to one side the Gettier problem, this remains a fundamental epistemological question, concerning as it does the matter of whether we can provide some significant defence of the usual epistemological assumption that a belief is ...
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Where is the justificatory boundary between a true belief’s not being knowledge and its being knowledge? Even if we put to one side the Gettier problem, this remains a fundamental epistemological question, concerning as it does the matter of whether we can provide some significant defence of the usual epistemological assumption that a belief is ...
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Proceedings of the London Mathematical Society, 1988
Suppose S is the usual class of functions \(f(z)=z+a_ 2z\) \(2+..\). analytic and univalent in the unit disk U. Various properties of the support points and the extreme points of S are known, and it has been conjectured that every extreme point is a support point.
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Suppose S is the usual class of functions \(f(z)=z+a_ 2z\) \(2+..\). analytic and univalent in the unit disk U. Various properties of the support points and the extreme points of S are known, and it has been conjectured that every extreme point is a support point.
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