-deformed bi-local fields. II.
-deformed KP hierarchy and -deformed constrained KP hierarchy.
Quadratic BSDEs with random terminal time and elliptic PDEs in infinite dimension.
Quadratic finite elements with non-matching grids for the unilateral boundary contact
We analyze a numerical model for the Signorini unilateral contact, based on the mortar method, in the quadratic finite element context. The mortar frame enables one to use non-matching grids and brings facilities in the mesh generation of different components of a complex system. The convergence rates we state here are similar to those already obtained for the Signorini problem when discretized on conforming meshes. The matching for the unilateral contact driven by mortars preserves then the proper...
Quadratic tilt-excess decay and strong maximum principle for varifolds
In this paper, we prove that integral -varifolds in codimension 1 with , , have quadratic tilt-excess decay for -almost all , and a strong maximum principle which states that these varifolds cannot be touched by smooth manifolds whose mean curvature is given by the weak mean curvature , unless the smooth manifold is locally contained in the support of .
Quadratsummen und gewisse Randwerprobleme der mathematischen Physik.
Qualitative behavior of axial-symmetric solutions of elliptic free boundary problems.
Qualitative investigation of the three-phase solutions of the sine-Laplace equation
Qualitative properties of a certain kinetic model of a binary gas.
Qualitative properties of coupled parabolic systems of evolution equations
We apply functional analytical and variational methods in order to study well-posedness and qualitative properties of evolution equations on product Hilbert spaces. To this aim we introduce an algebraic formalism for matrices of sesquilinear mappings. We apply our results to parabolic problems of different nature: a coupled diffusive system arising in neurobiology, a strongly damped wave equation, and a heat equation with dynamic boundary conditions.
Qualitative Properties of Navier-Stokes Equations
Qualitative properties of positive solutions of semilinear elliptic equations in symmetric domains via the maximum principle
Qualitative properties of separating flows in the Prandtl boundary layer.
Qualitative properties of solutions for quasi-linear elliptic equations.
Qualitative properties of solutions to elliptic singular problems.
Qualitative properties of solutions to semilinear heat equations with singular initial data.
Qualitative properties of the free-boundary of the Reynolds equation in lubrication.
The hydrodynamic lubrication of a cylindrical bearing is governed by the Reynolds equation that must be satisfied by the pressure of lubricating oil. When cavitation occurrs we are carried to an elliptic free-boundary problem where the free-boundary separates the lubricated region from the cavited region.Some qualitative properties are obtained about the shape of the free-boundary as well as the localization of the cavited region.
Qualitative properties of the solutions to the Navier-Stokes equations for compressible fluids
Qualitative study of nonlinear parabolic equations: an introduction.
Quand est-ce que des bornes de Hardy permettent de calculer une constante de Poincaré exacte sur la droite ?
Classically, Hardy’s inequality enables to estimate the spectral gap of a one-dimensional diffusion up to a factor belonging to . The goal of this paper is to better understand the latter factor, at least in a symmetric setting. In particular, we will give an asymptotical criterion implying that its value is exactly 4. The underlying argument is based on a semi-explicit functional for the spectral gap, which is monotone in some rearrangement of the data. To find it will resort to some regularity...