Harmonic Wave Systems: Partial Differential Equations of the Helmholtz Decomposition
Dr. Victor A. Miroshnikov
(2017)
Harmonic Wave Systems: Partial Differential Equations of the Helmholtz Decomposition: pp.
131-163.
Chapter 6. The Lamb-Helmholtz PDE in Scalar-Vector Harmonic Variables
The following sections are included:
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6.1. General Scalar-Vector Solutions Produced by Internal Forcing
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6.2. The Quasi-Scalar Dirichlet Boundary Problem with Internal Forcing
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6.3. The Quasi-Scalar Neumann Boundary Problem with Internal Forcing
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6.4. The Helmholtz Decomposition of a Divergence-Free and Curl-Free Field
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6.5. Examples and Exercises