Results 1 to 10 of about 6,382 (109)

Linear Hamilton Jacobi Bellman Equations in High Dimensions [PDF]

, 2014
The Hamilton Jacobi Bellman Equation (HJB) provides the globally optimal solution to large classes of control problems. Unfortunately, this generality comes at a price, the calculation of such solutions is typically intractible for systems with more than
Burdick, Joel W., Damle, Anil, Horowitz, Matanya B.   +2 more
core   +2 more sources

A Variational Stereo Method for the Three-Dimensional Reconstruction of Ocean Waves [PDF]

, 2011
We develop a novel remote sensing technique for the observation of waves on the ocean surface. Our method infers the 3-D waveform and radiance of oceanic sea states via a variational stereo imagery formulation.
Benetazzo, Alvise, Fedele, Francesco, Gallego Bonet, Guillermo, Yezzi, Anthony   +3 more
core   +3 more sources

Geometry of jet spaces and integrable systems [PDF]

, 2011
An overview of some recent results on the geometry of partial differential equations in application to integrable systems is given. Lagrangian and Hamiltonian formalism both in the free case (on the space of infinite jets) and with constraints (on a PDE)
Ablowitz, Alexander Verbovetsky, Anderson, Astashov, Astashov, Barakat, Baran, Barnich, Belinskii, Bluman, Bluman, Bocharov, Bryant, Bryant, Bäcklund, Camassa, Cartan, Chetverikov, Chetverikov, Cieśliński, Cieśliński, Courant, Darboux, De Sole, Dickey, Dodd, Dodd, Dorfman, Drinfel’d, Dubrovin, Dubrovin, Dudnikov, Faddeev, Filippov, Gardner, Gardner, Gardner, Gel’fand, Getzler, Goldschmidt, Golovko, Golovko, Gomis, Harrison, Henneaux, Henneaux, Hirota, Ibragimov, Igonin, Janet, Joseph Krasil’shchik, Karasu-Kalkanlı, Kaup, Kersten, Kersten, Kersten, Kersten, Kersten, Kersten, Khor’kova, Krasil’shchik, Krasil’shchik, Krasil’shchik, Krasil’shchik, Kruglikov, Kruskal, Kupershmidt, Kupershmidt, Kushner, Lewis, Lie, Lie, Lie, Magri, Magri, Maison, Maison, Manin, Marvan, Marvan, Marvan, Marvan, Mikhailov, Miura, Miura, Morse, Novikov, Odesskii, Olver, Olver, Ovsiannikov, Pommaret, Popovych, Riquier, Rogers, Rogers, Saunders, Saunders, Seiler, Sergyeyev, Spencer, Stephani, Su, Svinolupov, Takens, Tsarev, Tsujishita, Tsujishita, Tulczyjew, Verbovetsky, Verbovetsky, Vinogradov, Vinogradov, Vinogradov, Vinogradov, Vinogradov, Vinogradov, Vinogradov, Vinogradov, Vitolo, Wahlquist, Wahlquist, Zakharov   +122 more
core   +1 more source

Compatibility, multi-brackets and integrability of systems of PDEs [PDF]

, 2008
We establish an efficient compatibility criterion for a system of generalized complete intersection type in terms of certain multi-brackets of differential operators.
Kruglikov, Boris, Lychagin, Valentin
core   +2 more sources

The Emergence of Gravitational Wave Science: 100 Years of Development of Mathematical Theory, Detectors, Numerical Algorithms, and Data Analysis Tools [PDF]

, 2016
On September 14, 2015, the newly upgraded Laser Interferometer Gravitational-wave Observatory (LIGO) recorded a loud gravitational-wave (GW) signal, emitted a billion light-years away by a coalescing binary of two stellar-mass black holes.
Holst, Michael, Sarbach, Olivier, Tiglio, Manuel, Vallisneri, Michele   +3 more
core   +2 more sources

The Variational Bi-Complex for Systems of Semi-Linear Hyperbolic PDEs in Three Variables

, 2018
This paper extends, to a class of systems of semi-linear hyperbolic second order PDEs in three variables, the geometric study of a single nonlinear hyperbolic PDE in the plane as presented in [Anderson I.M., Kamran N., Duke Math. J.
Froehlich, Sara
core   +1 more source

Spectral and dynamical analysis of a single vortex ring in anisotropic harmonically trapped three-dimensional Bose-Einstein condensates

, 2018
In the present work, motivated by numerous recent experimental developments we revisit the dynamics of a single vortex ring in anisotropic harmonic traps. At the theoretical level, we start from a general Lagrangian dynamically capturing the evolution of
Kevrekidis, P. G., Ticknor, Christopher, Wang, Wenlong   +2 more
core   +1 more source

New reductions of integrable matrix PDEs: $Sp(m)$-invariant systems

, 2011
We propose a new type of reduction for integrable systems of coupled matrix PDEs; this reduction equates one matrix variable with the transposition of another multiplied by an antisymmetric constant matrix.
Manakov S. V., Manakov S. V., Satake I., Serre D., Takayuki Tsuchida, Tsuchida T.   +5 more
core   +1 more source

The Painlev\'e methods

, 2002
This short review is an introduction to a great variety of methods, the collection of which is called the Painlev\'e analysis, intended at producing all kinds of exact (as opposed to perturbative) results on nonlinear equations, whether ordinary, partial,
Conte, Robert, Musette, Micheline
core   +1 more source

Exact Poisson pencils, $\tau$-structures and topological hierarchies

, 2011
We discuss, in the framework of Dubrovin-Zhang's perturbative approach to integrable evolutionary PDEs in 1+1 dimensions, the role of a special class of Poisson pencils, called exact Poisson pencils.
Falqui, Gregorio, Lorenzoni, Paolo
core   +1 more source