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pro vyhledávání: '"Aronson, D."'
Autor:
Aronson, D. G.
Two-sided Gaussian estimates for the fundamental solution of a second order linear parabolic differential equation are upper and lower bounds in terms of the fundamental solution of the classical heat conduction equation. In his seminal 1958 paper Na
Externí odkaz:
http://arxiv.org/abs/1707.04620
Autor:
Aronson, D. G.
In this note I survey the extensive literature on the dynamics of large series arrays of identical current biased Josephson junctions coupled through various shared loads. The equations describing the dynamics are invariant under permutation of the j
Externí odkaz:
http://arxiv.org/abs/1707.00038
Autor:
Aronson, D. G.
James Serrin's fundamental contributions to the theory of quasilinear elliptic equations are well-known and widely appreciated. He also made less well-known contributions to the theory of quasilinear parabolic equations which we dicuss in this note.
Externí odkaz:
http://arxiv.org/abs/1611.09417
Autor:
Aronson, D. G.
Publikováno v:
Duscrete Cont. Dyn. Syst. Series B, 17(2012), 1685-1691
We consider a porous mediaum flow in which the gas is initially distributed in the exterior of an empty region (a hole) and study the final stage of the hole-filling process. Hole-filling is asymptotically described by a self-similar solution which d
Externí odkaz:
http://arxiv.org/abs/0806.4878
We consider the equation that models the spreading of thin liquid films of power-law rheology. In particular, we analyze the existence and uniqueness of source-type self-similar solutions in planar and circular symmetries. We find that for shear-thin
Externí odkaz:
http://arxiv.org/abs/math-ph/0306073
We present a systematic computational approach to the study of self-similar dynamics. The approach, through the use of what can be thought of as a ``dynamic pinning condition" factors out self-similarity, and yields a transformed, non-local evolution
Externí odkaz:
http://arxiv.org/abs/nlin/0111055
In the focusing problem we study a solution of the porous medium equation $u_t=\Delta (u^m)$ whose initial distribution is positive in the exterior of a closed non-circular two dimensional region, and zero inside. We implement a numerical scheme that
Externí odkaz:
http://arxiv.org/abs/patt-sol/9908006
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Autor:
Maizels, L., Heller, E., Landesberg, M., Glatstein, S., Huber, I., Arbel, G., Gepstein, A., Aronson, D., Sharabi, S., Beinart, R., Segev, A., Maor, E., Gepstein, L.
Publikováno v:
In Heart, Lung and Circulation August 2024 33 Supplement 4:S485-S485