Results 11 to 20 of about 16,133 (129)

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
core   +3 more sources

Asymptotically Hyperbolic Non Constant Mean Curvature Solutions of the Einstein Constraint Equations [PDF]

, 1996
We describe how the iterative technique used by Isenberg and Moncrief to verify the existence of large sets of non constant mean curvature solutions of the Einstein constraints on closed manifolds can be adapted to verify the existence of large sets of ...
, Andersson L, Andersson L, Andersson L, Aviles P, Besse A, Brill D, Cantor M, Choquet-Bruhat Y, Choquet-Bruhat Y, Friedrich H, Graham C R, Isenberg J, Isenberg J, Isenberg J, James Isenberg, Jiseong Park, Kufner A, Park J, Protter M, Schoen R   +20 more
core   +2 more sources

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.
core   +2 more sources

Nonlinear PDEs for gap probabilities in random matrices and KP theory [PDF]

, 2012
Airy and Pearcey-like kernels and generalizations arising in random matrix theory are expressed as double integrals of ratios of exponentials, possibly multiplied with a rational function. In this work it is shown that such kernels are intimately related
Adler, Adler, Adler, Adler, Adler, Adler, Adler, Adler, Bergère, Bertola, Bertola, Bleher, Borodin, Brézin, Brézin, Brézin, Brézin, Claeys, Date, Date, Harnad, Helminck, Johansson, Johansson, Kac, Krichever, M. Adler, M. Cafasso, Miwa, Okounkov, P. van Moerbeke, Prähofer, Rumanov, Rumanov, Segal, Tracy, Tracy, Tracy, van de Leur, Wasow, Widom   +40 more
core   +4 more sources

The Cauchy problem for the Pavlov equation [PDF]

, 2014
Commutation of multidimensional vector fields leads to integrable nonlinear dispersionless PDEs arising in various problems of mathematical physics and intensively studied in the recent literature.
Grinevich, P. G., Santini, P. M., Wu, D.
core   +1 more source

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
core   +1 more source

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
core   +3 more sources

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
core   +1 more source

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
core   +1 more source

Is Computing with Light All You Need? A Perspective on Codesign for Optical Artificial Intelligence and Scientific Computing

Advanced Intelligent Systems, EarlyView.
This perspective article considers what computations optical computing can and should enable. Focusing upon free‐space optical computing, it argues that a codesign approach whereby materials, devices, architectures, and algorithms are simultaneously optimized is needed.
Prasad P. Iyer, Gaurang R. Bhatt, Saaketh Desai, Elliot J. Fuller, Corinne M. Teeter, François Léonard, Craig M. Vineyard   +6 more
wiley   +1 more source