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The isentropic Euler system admits some plane wave superpositions
The isentropic Euler system wave superpositions
2010/11/8
A class of differentiable solutions is proved for the isentropic Euler equations in two and three space dimensions. The solutions are explicitly given in terms of solutions to inviscid Burgers equati...
Plane wave stability of some conservative schemes for the cubic Schrödinger equation
Plane wave conservative schemes the cubic Schrö dinger equation
2010/11/11
The plane wave stability properties of the conservative schemes of Besse and Fei et al. for the cubic Schr\"{o}dinger equation are analysed. Although the two methods possess many of the same conserva...
Strongly Elliptic Operators for a Plane Wave Diffraction Problem in Bessel Potential Spaces
Diffraction problem Strong Ellipticity Convolution type operator Wiener-Hopf operator Equivalence after extension
2008/6/26
We consider a plane wave diffraction problem by a union of several infinite strips. The problem is formulated as a boundary-transmission one for the Helmholtz equation in a Bessel potential space sett...