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| Content Provider | Springer Nature Link |
|---|---|
| Author | Liu, Tai Ping Yu, Shih Hsien |
| Copyright Year | 2013 |
| Abstract | We derive the boundary Dirichlet–Neumann maps for a model with linear compressible Navier–Stokes equations. Fourier and Laplace transforms are applied to derive the maps in the transformed space. A new classification of the roots of the characteristic polynomial in terms of their analytic properties is needed for the pointwise description of the inversion of the transforms using complex analytic methods. Algebraic manipulations reduce the transformed maps to a matrix of polynomials in characteristic roots over the ring spanned by rational functions in the transform variables and the global non-characteristic roots. This Normal–Tangential decomposition for the transformed Dirichlet–Neumann map gives rise to the new notion of a determinant for the intrinsic wave propagator along the boundary. |
| Ending Page | 1335 |
| Page Count | 49 |
| Starting Page | 1287 |
| File Format | |
| ISSN | 16153375 |
| e-ISSN | 16153383 |
| Journal | Foundations of Computational Mathematics |
| Issue Number | 6 |
| Volume Number | 14 |
| Language | English |
| Publisher | Springer US |
| Publisher Date | 2013-11-23 |
| Publisher Place | Boston |
| Access Restriction | One Nation One Subscription (ONOS) |
| Subject Keyword | Economics general Initial-boundary value problems for equations of mixed type Linear and Multilinear Algebras, Matrix Theory Compressible Navier–Stokes equation Fundamental solution Master relationship Initial boundary value problems Numerical Analysis Computer Science Fundamental solutions Applications of Mathematics Math Applications in Computer Science Integral representations of solutions |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics Analysis Computational Theory and Mathematics Computational Mathematics |
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