Results 11 to 20 of about 16,408 (99)

Asymptotic scaling in a model class of anomalous reaction-diffusion equations

, 2005
We analyze asymptotic scaling properties of a model class of anomalous reaction-diffusion (ARD) equations. Numerical experiments show that solutions to these have, for large $t$, well defined scaling properties.
Gaeta, G., Mancinelli, R.
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Constructing Soliton and Kink Solutions of PDE Models in Transport and Biology [PDF]

, 2006
We present a review of our recent works directed towards discovery of a periodic, kink-like and soliton-like travelling wave solutions within the models of transport phenomena and the mathematical biology. Analytical description of these wave patterns is
Kutafina, Ekaterina V., Pudelko, Anna, Vladimirov, Vsevolod A.   +2 more
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Compact Waves in Microscopic Nonlinear Diffusion

, 2012
We analyze the spread of a localized peak of energy into vacuum for nonlinear diffusive processes. In contrast with standard diffusion, the nonlinearity results in a compact wave with a sharp front separating the perturbed region from vacuum.
G. I. Barenblatt, G. I. Barenblatt, H. C. Berg, L. D. Landau, N. G. Van Kampen, P. I. Hurtado, P. L. Krapivsky, P. L. Krapivsky, Ya. B. Zeldovich, Ya. B. Zeldovich   +9 more
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A dynamical approximation for stochastic partial differential equations [PDF]

, 2007
Random invariant manifolds often provide geometric structures for understanding stochastic dynamics. In this paper, a dynamical approximation estimate is derived for a class of stochastic partial differential equations, by showing that the random ...
Blömker D., Constantin P., Jinqiao Duan, Keller H., Robinson J. C., Wei Wang   +5 more
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Holographic Uniformization

, 2011
We derive and study supergravity BPS flow equations for M5 or D3 branes wrapping a Riemann surface. They take the form of novel geometric flows intrinsically defined on the surface.
A. Fayyazuddin, B. Brinne, B.S. Acharya, C.P. Boyer, Christopher Beem, D. Gaiotto, D.H. Friedan, D.Z. Freedman, E. Witten, F. Benini, H. Lin, H. Lu, H. Nastase, H. Nastase, I. Heemskerk, J. Eells, J. Kazdan, J.M. Maldacena, J.P. Gauntlett, J.P. Gauntlett, J.P. Gauntlett, J.P. Gauntlett, J.T. Liu, K. Behrndt, L. Girardello, L. Nirenberg, Leonardo Rastelli, M. Anderson, M. Bershadsky, M. Bershadsky, M. Bianchi, M. Cvetic, M. Gunaydin, M. Gunaydin, M. Pernici, M. Pernici, M.V. Saveliev, Michael T. Anderson, N. Bobev, Nikolay Bobev, R. Mazzeo, R. Mazzeo, R.S. Hamilton, S. Smale, S.-T. Yau, S.S. Gubser, T. Faulkner   +46 more
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Perturbations of time optimal control problems for a class of abstract parabolic systems [PDF]

, 2015
In this work we study the asymptotic behavior of the solutions of a class of abstract parabolic time optimal control problems when the generators converge, in an appropriate sense, to a given strictly negative operator.
Tucsnak, Marius, Wang, Gengsheng, Wu, Chi-Ting   +2 more
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Homogenized modeling for vascularized poroelastic materials [PDF]

, 2017
A new mathematical model for the macroscopic behavior of a material composed of a poroelastic solid embedding a Newtonian fluid network phase (also referred to as vascularized poroelastic material), with fluid transport between them, is derived via ...
Merodio, José, Penta, Raimondo
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Asymptotic symmetries in an optical lattice

, 2005
It was recently remarked by Lutz [{\it Phys. Rev. A} {\bf 67} (2003), 051402(R)] that the equation for the marginal Wigner distribution in an optical lattice admits a scale-free distribution corresponding to Tsallis statistics.
Gaeta, G.
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Lyapunov constraints and global asymptotic stabilization [PDF]

, 2011
In this paper, we develop a method for stabilizing underactuated mechanical systems by imposing kinematic constraints (more precisely Lyapunov constraints).
Grillo, Sergio, Marsden, Jerrold, Nair, Sujit   +2 more
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Exact solutions of the 3-wave resonant interaction equation

, 2005
The Darboux--Dressing Transformations are applied to the Lax pair associated to the system of nonlinear equations describing the resonant interaction of three waves in 1+1 dimensions.
Ablowitz, Abramowitz, Antonio Degasperis, Calogero, Calogero, Calogero, Calogero, Kaup, Matveev, Rogers, Sara Lombardo, Zakharov, Zakharov, Zakharov   +13 more
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