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Results tagged with ap.analysis-of-pdes
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user 11216
Partial differential equations (PDEs): Existence and uniqueness, regularity, boundary conditions, linear and non-linear operators, stability, soliton theory, integrable PDEs, conservation laws, qualitative dynamics.
0
votes
Non-linear Basis for PDE's
In the spirit close to Ben's answer there also is nonlinear superposition coming from the Backlund transformations for systems that are integrable in the sense of soliton theory, see e.g. this introdu …
- 389
1
vote
Lax pairs for linear PDEs
The term Lax pair is fairly often used in a broader sense as a pair of linear equations (not necessarily of the form you mention, i.e., $L\phi=\lambda\phi$ and $\dot{\phi}=B\phi$) whose compatibility …
- 389
4
votes
Book about fluid dynamics
Perhaps this CFD crash course and also A crash course in fluid mechanics could help a bit.
- 389