Extended crystal PDE’S stability, II: The extended crystal MHD-PDE’S
نویسندگان
چکیده
منابع مشابه
Extended Crystal
In this paper we show that between PDE’s and crystallographic groups there is an unforeseen relation. In fact we prove that integral bordism groups of PDE’s can be considered extensions of crystallographic subgroups. In this respect we can consider PDE’s as extended crystals. Then an algebraic-topological obstruction (crystal obstruction), characterizing existence of global smooth solutions for...
متن کاملCentrally Extended Conformal Galilei Algebras and Invariant Nonlinear PDEs
We construct, for any given ` = 1 2 + N0, second-order nonlinear partial differential equations (PDEs) which are invariant under the transformations generated by the centrally extended conformal Galilei algebras. This is done for a particular realization of the algebras obtained by coset construction and we employ the standard Lie point symmetry technique for the construction of PDEs. It is obs...
متن کاملExtended defect corrected averaging for highly oscillatory PDEs
We consider parabolic partial differential equations where the support of the sources or of the inhomogenous Neumann boundary conditions undergoes an oscillatory motion. The timescale of this oscillation is much smaller than the characteristic time scale of diffusion, which is of main interest. Resolution of the smallest timescale constitutes a strong restriction on the stepsize of time integra...
متن کاملStability of periodic waves in Hamiltonian PDEs
Partial differential equations endowed with a Hamiltonian structure, like the Korteweg–de Vries equation and many other more or less classical models, are known to admit rich families of periodic travelling waves. The stability theory for these waves is still in its infancy though. The issue has been tackled by various means. Of course, it is always possible to address stability from the spectr...
متن کامل`-oscillators from second-order invariant PDEs of the centrally extended conformal Galilei algebras
We construct, for any given ` = 12 + N0, the second-order, linear PDEs which are invariant under the centrally extended Conformal Galilei Algebra. At the given `, two invariant equations in one time and ` + 12 space coordinates are obtained. The first equation possesses a continuum spectrum and generalizes the free Schrödinger equation (recovered for ` = 12) in 1 + 1 dimension. The second equat...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Mathematical and Computer Modelling
سال: 2009
ISSN: 0895-7177
DOI: 10.1016/j.mcm.2008.07.021