229 citations · 1.3k across the 55 of their papers we have counts for
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Vlasov multi-dimensional model dispersion relation
Pavel M. Lushnikov, Harey A. Rose, Denis A. Silantyev +1
A hybrid model of the Vlasov equation in multiple spatial dimension [H. A. Rose and W. Daughton, Physics of Plasmas v. 18, 122109 (2011)], the Vlasov multi dimensional model…
Beyond the random phase approximation: Stimulated Brillouin backscatter for finite laser coherence times
Alexander O. Korotkevich, Pavel M. Lushnikov, Harvey A. Rose
We develop a statistical theory of stimulated Brillouin backscatter (BSBS) of a spatially and temporally partially incoherent laser beam for laser fusion relevant plasma. We find a…
The complex singularity of a Stokes wave
S. A. Dyachenko, P. M. Lushnikov, A. O. Korotkevich
Two-dimensional potential flow of the ideal incompressible fluid with free surface and infinite depth can be described by a conformal map of the fluid domain into the complex lower…
On blowup dynamics in the Keller-Segel model of chemotaxis
S. I. Dejak, D. Egli, P. M. Lushnikov +1
We investigate the (reduced) Keller-Segel equations modeling chemotaxis of bio-organisms. We present a formal derivation and partial rigorous results of the blowup dynamics of solu…
Logarithmic scaling of the collapse in the critical Keller-Segel equation
Sergey A. Dyachenko, Pavel M. Lushnikov, Natalia Vladimirova
A reduced Keller-Segel equation (RKSE) is a parabolic-elliptic system of partial differential equations which describes bacterial aggregation and the collapse of a self-gravitating…