A new regularity criterion for the Navier-Stokes equations.
A new second order finite difference conservative scheme.
A new technique in constructing closed-form solutions for nonlinear PDEs appearing in fluid mechanics and gas dynamics.
A new two-dimensional shallow water model including pressure effects and slow varying bottom topography
The motion of an incompressible fluid confined to a shallow basin with a slightly varying bottom topography is considered. Coriolis force, surface wind and pressure stresses, together with bottom and lateral friction stresses are taken into account. We introduce appropriate scalings into a three-dimensional anisotropic eddy viscosity model; after averaging on the vertical direction and considering some asymptotic assumptions, we obtain a two-dimensional model, which approximates the three-dimensional...
A new two-dimensional Shallow Water model including pressure effects and slow varying bottom topography
The motion of an incompressible fluid confined to a shallow basin with a slightly varying bottom topography is considered. Coriolis force, surface wind and pressure stresses, together with bottom and lateral friction stresses are taken into account. We introduce appropriate scalings into a three-dimensional anisotropic eddy viscosity model; after averaging on the vertical direction and considering some asymptotic assumptions, we obtain a two-dimensional model, which approximates the three-dimensional...
A new type of solutions for a singularly perturbed elliptic Neumann problem.
A new version of the fast Gauss transform.
A new view of center manifolds
A non elliptic spectral problem related to the analysis of superconducting micro-strip lines
This paper is devoted to the spectral analysis of a non elliptic operator , deriving from the study of superconducting micro-strip lines. Once a sufficient condition for the self-adjointness of operator has been derived, we determine its continuous spectrum. Then, we show that is unbounded from below and that it has a sequence of negative eigenvalues tending to . Using the Min-Max principle, a characterization of its positive eigenvalues is given. Thanks to this characterization, some conditions...
A non elliptic spectral problem related to the analysis of superconducting micro-strip lines
This paper is devoted to the spectral analysis of a non elliptic operator A , deriving from the study of superconducting micro-strip lines. Once a sufficient condition for the self-adjointness of operator A has been derived, we determine its continuous spectrum. Then, we show that A is unbounded from below and that it has a sequence of negative eigenvalues tending to -∞. Using the Min-Max principle, a characterization of its positive eigenvalues is given. Thanks to this characterization, some...
A non linear hyperbolic equation related to the dynamics of cardiac muscle
A non solvable operator satisfying condition ()
A non uniqueness result for operators of principle type.
A Nonconforming Combined Method for Solving Laplace's Boundary Value Problems with Singularities.
A nonconforming finite element method of upstream type applied to the stationary Navier-Stokes equation
A non-convex diffusion model for simultaneous image denoising and edge enhancement.
A nonexistence result for a nonlinear equation involving critical Sobolev exponent
A nonexistence result for a nonlinear PDE with Robin condition.
A nonexistence result for a system of quasilinear degenerate elliptic inequalities in a half-space.
A nonexistence result for Yamabe type problems on thin annuli