Zobrazeno 1 - 10
of 51
pro vyhledávání: '"Craig, Walter P."'
Autor:
Craig, Walter, Reddy, Mikale
Publikováno v:
C. R. Math. Rep. Acad. Sci. Canada Vol. 41 (3) 2019, pp. 45-56
We solve the source free electromagnetic wave equation in Friedmann-Robertson-Walker space-times for curvature $K=0$ and $K=-1$. Deriving a solution expression in the form of spherical means we deduce and compare two properties of the Maxwell propaga
Externí odkaz:
http://arxiv.org/abs/1910.06676
Autor:
Craig, Walter, García-Azpeitia, Carlos
We study the formation of steady waves in two-dimensional fluids under a current with mean velocity $c$ flowing over a periodic bottom. Using a formulation based on the Dirichlet-Neumann operator, we establish the unique continuation of a steady solu
Externí odkaz:
http://arxiv.org/abs/1908.03787
Autor:
Craig, Walter, García-Azpeitia, Carlos
The $n+1$ vortex filament problem has explicit solutions consisting of $n$ parallel filaments of equal circulation in the form of nested polygons uniformly rotating around a central filament which has circulation of opposite sign. We show that when t
Externí odkaz:
http://arxiv.org/abs/1903.08302
The system of equations for water waves, when linearized about equilibrium of a fluid body with a varying bottom boundary, is described by a spectral problem for the Dirichlet -- Neumann operator of the unperturbed free surface. This spectral problem
Externí odkaz:
http://arxiv.org/abs/1706.07417
Autor:
Craig, Walter
Many equations that arise in a physical context can be posed in the form of a Hamiltonian system, meaning that there is a symplectic structure on an appropriate phase space, and a Hamiltonian functional with respect to which time evolution of their s
Externí odkaz:
http://arxiv.org/abs/1612.08971
Autor:
Abbasi, Bilal, Craig, Walter
We study the wave propagator for a Friedmann - Robertson - Walker background space-time, which is singular at time t=0. Using a spherical means formulation for the solution of the wave equation that is due to Klainerman and Sarnak, we derive three pr
Externí odkaz:
http://arxiv.org/abs/1404.7457
This paper addresses the three-dimensional Navier-Stokes equations for an incompressible fluid whose density is permitted to be inhomogeneous. We establish a theorem of global existence and uniqueness of strong solutions for initial data with small $
Externí odkaz:
http://arxiv.org/abs/1301.7155
This is a study of the Euler equations for free surface water waves in the case of varying bathymetry, considering the problem in the shallow water scaling regime. In the case of rapidly varying periodic bottom boundaries this is a problem of homogen
Externí odkaz:
http://arxiv.org/abs/1110.5155
Autor:
Craig, Walter, Weinstein, Steven
We study the initial value problem for the wave equation and the ultrahyperbolic equation for data posed on initial surface of mixed signature (both spacelike and timelike). Under a nonlocal constraint, we show that the Cauchy problem on codimension-
Externí odkaz:
http://arxiv.org/abs/0812.0210
Autor:
Biryuk, Andrei, Craig, Walter
Let $u(x,t)$ be a (possibly weak) solution of the Navier - Stokes equations on all of ${\mathbb R}^3$, or on the torus ${\mathbb R}^3/ {\mathbb Z}^3$. The {\it energy spectrum} of $u(\cdot,t)$ is the spherical integral \[ E(\kappa,t) = \int_{|k| = \k
Externí odkaz:
http://arxiv.org/abs/0807.4505