Frictional Heating During Sliding of Two Layers Made of Different Materials. [PDF]
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Recent Advances and Retrospective Review in Bioinspired Structures for Fog Water Collection. [PDF]
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Analysis of a heterogeneous functionally graded material with a spherical void exposed to time-dependent ramp-type heating according to the TPL heat conduction model. [PDF]
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Numerical solutions of the Laplace’s equation
Applied Mathematics and Computation, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Laplace equation Δu = 0 occurs frequently in applied sciences, in particular in the study of the steady state phenomena. Its solutions are called harmonic functions. For instance, the equilibrium position of a perfectly elastic membrane is a harmonic function as it is the velocity potential of a homogeneous fluid. Also, the steady state temperature
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The Laplace operator acting on a function u(x) = u(x1,...,x n ) of class C2 in a region Ω is defined by $$\Delta = \sum\limits_{{k = 1}}^{n} {D_{k}^{2}}$$ (1.1) For \(u,\upsilon \in {C^{2}}\left( {\overline \Omega } \right)\) we have (see Chapter 3, (4.8), (4.9)) Green’s identities.
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