Geodesic
Global analysis of wavelet methods for Euler's equation
Matematičeskoe modelirovanie, Tome 14 (2002) no. 5, pp. 75-88

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Euler's equation for the velocity и of an inviscid incompressible flow on Euclidean space admits the weak formulation $(\dot u,v)=([u,v],w)$, for all divergence free vector fields $v$. Here $(\,\cdot\,,\,\cdot\,)$ denotes the scalar product that represents kinetic energy and $[\,\cdot\,,\,\cdot\,]$ denotes the Poisson bracket. We employ global analysis methods based on this formulation to discuss Faedo–Galerkin approximation using divergence free wavelets. 
@article{MM_2002_14_5_a6,
     author = {W. Lawton},
     title = {Global analysis of wavelet methods for {Euler's} equation},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {75--88},
     publisher = {mathdoc},
     volume = {14},
     number = {5},
     year = {2002},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/MM_2002_14_5_a6/}
}
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W. Lawton. Global analysis of wavelet methods for Euler's equation. Matematičeskoe modelirovanie, Tome 14 (2002) no. 5, pp. 75-88. http://geodesic.mathdoc.fr/item/MM_2002_14_5_a6/