Zobrazeno 1 - 10
of 27
pro vyhledávání: '"Mark Mineev-Weinstein"'
Autor:
Yossi Cohen, Mark Mineev-Weinstein, Eric Stansifer, Robert Yi, Robb McDonald, Daniel H. Rothman, Hansjörg Seybold
Publikováno v:
Prof. Rothman
Valleys that form around a stream head often develop characteristic finger-like elevation contours. We study the processes involved in the formation of these valleys and introduce a theoretical model that indicates how shape may inform the underlying
Autor:
Mark Mineev-Weinstein, Oleg Alekseev
We develop statistical mechanics for stochastic growth processes as applied to Laplacian growth by using its remarkable connection with a random matrix theory. The Laplacian growth equation is obtained from the variation principle and describes adiab
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::812e25ceca20a266e97a1f20bca6fff5
http://arxiv.org/abs/1611.03247
http://arxiv.org/abs/1611.03247
Publikováno v:
Journal of Quantitative Spectroscopy and Radiative Transfer. 112:632-645
We survey research on radiation propagation or ballistic particle motion through media with randomly variable material density, and we investigate the topic with an emphasis on very high spatial frequencies. Our new results are based on a specific va
Publikováno v:
Physica D: Nonlinear Phenomena. 238:1787-1796
A new class of solutions to Laplacian growth (LG) with zero surface tension is presented and shown to contain all other known solutions as special or limiting cases. These solutions, which are time-dependent conformal maps with branch cuts inside the
Publikováno v:
Complex Analysis and Operator Theory. 3:425-451
The planar elliptic extension of the Laplacian growth is, after a proper parametrization, given in a form of a solution to the equation for area-preserving diffeomorphisms. The infinite set of conservation laws associated with such elliptic growth is
Autor:
Mark Mineev-Weinstein, Oleg Alekseev
We generalize the diffusion-limited aggregation by issuing many randomly-walking particles, which stick to a cluster at the discrete time unit providing its growth. Using simple combinatorial arguments we determine probabilities of different growth s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::95adb0775095f5402c551b8c1d77d9f5
Autor:
Mark Mineev-Weinstein, Oleg Alekseev
A point source on a plane constantly emits particles which rapidly diffuse and then stick to a growing cluster. The growth probability of a cluster is presented as a sum over all possible scenarios leading to the same final shape. The classical point
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::929ab57d20ea1cf75bdb469b9a9878c0
Publikováno v:
Physica D: Nonlinear Phenomena. 235:vii-x
A new selection phenomenon in nonlinear interface dynamics is predicted. A generic class of exact regular unsteady multi-bubble solutions in a Hele-Shaw cell is presented. These solutions show that the case where the asymptotic bubble velocity, $U$,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::92a48c7a4063f057b6dfa8acaa2ec78b
Publikováno v:
Physical Review E. 89
A new general class of exact solutions is presented for the time evolution of a bubble of arbitrary initial shape in a Hele-Shaw cell when surface tension effects are neglected. These solutions are obtained by conformal mapping the viscous flow domai