Time-dependent Stokes equations with measure data.
Transformation of Three-Dimensional Regions onto Rectangular Regions by Elliptic Systems.
Transient development of gravity waves for two layered fluids.
Transmission of obliquely incident surface waves through a narrow gap.
Travelling water-waves, as a paradigm for bifurcations in reversible infinite dimensional “dynamical" systems.
Two dimensional incompressible ideal flow around a thin obstacle tending to a curve
Two methods for solving an initial-boundary value problem for a system of Saint-Venant equations.
Two-dimensional source potentials in a two-fluid medium for the modified Helmholtz equation.
Ueber die Kräfte, welche zwei unendlich dünne, starre Ringe in einer Flüssigkeit scheinbar auf einander ausüben können.
Un problème inverse en formage des métaux liquides
Uniqueness and radial symmetry for an inverse elliptic equation.
Uno schema di calcolo dello sviluppo del risalto idraulico
The flow inside the hydraulic jump is interpreted in terms of diffusion of a two-dimensional turbulent jet. The classical theoretical-experimental results of turbulent diffusion can be consequently utilized and, on the basis of continuity and momentum equations, the water depth and the distribution of flow velocity for any cross section are shown to be determined for given Froude number of upstream flow.
Vanishing viscosity limit for an expanding domain in space
Variable depth KdV equations and generalizations to more nonlinear regimes
We study here the water waves problem for uneven bottoms in a highly nonlinear regime where the small amplitude assumption of the Korteweg-de Vries (KdV) equation is enforced. It is known that, for such regimes, a generalization of the KdV equation (somehow linked to the Camassa-Holm equation) can be derived and justified [Constantin and Lannes, Arch. Ration. Mech. Anal. 192 (2009) 165–186] when the bottom is flat. We generalize here this result with a new class of equations taking into account...
Variational problems on classes of rearrangements and multiple configurations for steady vortices
Variations of Robin capacity and applications.
Vertical blow ups of capillary surfaces in . I: Convex corners.
Vertical blow ups of capillary surfaces in . II: Nonconvex corners.
Water waves generated by disturbances at an ice cover.
Water-wave problem for a vertical shell
The uniqueness theorem is proved for the linearized problem describing radiation and scattering of time-harmonic water waves by a vertical shell having an arbitrary horizontal cross-section. The uniqueness holds for all frequencies, and various locations of the shell are possible: surface-piercing, totally immersed and bottom-standing. A version of integral equation technique is outlined for finding a solution.