Zobrazeno 1 - 10
of 335
pro vyhledávání: '"Machedon, M."'
Autor:
Grillakis, M., Machedon, M.
Publikováno v:
Journal of Fixed Point Theory and Applications, Vol. 14, No 1 2013 (The Yvonne Choquet-Bruhat Festschrift)
This paper (published in 2013) introduces a refinement of the equations for the pair excitation function used in our previous work with D. Margetis. The new equations are Euler-Lagrange equations, and the solutions conserve energy and the number of p
Externí odkaz:
http://arxiv.org/abs/1509.07371
Autor:
Grillakis, M., Machedon, M.
Publikováno v:
Communications in PDE, Vol 42, No 1, 24--67 (2017)
We consider a large number of Bosons with interaction potential $v_N(x)=N^{3 \beta}v(N^{\beta}x)$. In earlier papers we considered a set of equations for the condensate $\phi$ and pair excitation function $k$ and proved that they provide a Fock space
Externí odkaz:
http://arxiv.org/abs/1509.05911
Autor:
Grillakis, M., Machedon, M.
Publikováno v:
Communications in Mathematical Physics, vol 342, no. 2, pp 601-636, (2013)
In our previous work \cite{GMM1},\cite{GMM2} we introduced a correction to the mean field approximation of interacting Bosons. This correction describes the evolution of pairs of particles that leave the condensate and subsequently evolve on a backgr
Externí odkaz:
http://arxiv.org/abs/1208.3763
Publikováno v:
Advances in Math. 228 (2011) 1788-1815
We study the evolution of a N-body weakly interacting system of Bosons. Our work forms an extension of our previous paper I, in which we derived a second-order correction to a mean-field evolution law for coherent states in the presence of small inte
Externí odkaz:
http://arxiv.org/abs/1003.4713
Publikováno v:
In Advances in Mathematics 2011 228(3):1788-1815
Autor:
Klainerman, S., Machedon, M.
Publikováno v:
Annals of Mathematics, 1995 Jul 01. 142(1), 39-119.
Externí odkaz:
https://www.jstor.org/stable/2118611
Autor:
Grillakis, M., Machedon, M.
Publikováno v:
Communications in Partial Differential Equations; 2019, Vol. 44 Issue 12, p1431-1465, 35p
Autor:
Grillakis, M.1 mng@math.umd.edu, Machedon, M.1 mxm@math.umd.edu
Publikováno v:
Communications in Mathematical Physics. Dec2013, Vol. 324 Issue 2, p601-636. 36p.
Autor:
Grillakis, M., Machedon, M.
Publikováno v:
Communications in Partial Differential Equations; Jan2017, Vol. 42 Issue 1, p24-67, 44p
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