Nonlinear diffusion processes.
Nonlinear elliptic problems with incomplete Dirichlet conditions and the stream function solution of subsonic rotational flows past profiles or cascades of profiles
The paper is devoted to the solvability of a nonlinear elliptic problem in a plane multiply connected domain. On the inner components of its boundary Dirichlet conditions are known up to additive constants which have to be determined together with the sought solution so that the so-called trailing stagnation conditions are satisfied. The results have applications in the stream function solution of subsonic flows past groups of profiles or cascades of profiles.
Nonlinear filtering for observations on a random vector field along a random path. Application to atmospheric turbulent velocities
To filter perturbed local measurements on a random medium, a dynamic model jointly with an observation transfer equation are needed. Some media given by PDE could have a local probabilistic representation by a Lagrangian stochastic process with mean-field interactions. In this case, we define the acquisition process of locally homogeneous medium along a random path by a Lagrangian Markov process conditioned to be in a domain following the path and conditioned to the observations. The nonlinear...
Nonlinear instability in an ideal fluid
Nonlinear instability of double-humped equilibria
Nonlinear interaction of waves in a hot inhomogeneous magnetized plasma.
Nonlinear peristaltic transport of MHD flow through a porous medium.
Nonlinear Scattering for Some Dispersive Equations Generalizing Benjamin-Bona-Mahony Equation.
Nonlinear stationary surface waves above an underwater ridge.
Nonlinear unsteady flow problems by multidimensional singular integral representation analysis.
Nonlinear unsteady supersonic flow analysis for slender bodies of revolution: Series solutions, convergence and results.
Nonlinear unsteady supersonic flow analysis for slender bodies of revolution: Theory.
Nonlocal problems for the equations of motion of Kelvin-Voigt fluids
Non-matching mortar discretization analysis for the coupling Stokes-Darcy equations.
Nonmonotone nonconvolution functions of positive type and applications
We present two sufficient conditions for nonconvolution kernels to be of positive type. We apply the results to obtain stability for one-dimensional models of chemically reacting viscoelastic materials.
Non-negative solutions of generalized porous medium equations.
The purpose of this paper is to study nonnegative solutions u of the nonlinear evolution equations∂u/∂t = Δφ(u), x ∈ Rn, 0 < t < T ≤ +∞ (1.1)Here the nonlinearity φ is assumed to be continuous, increasing with φ(0) = 0. This equation arises in various physical problems, and specializing φ leads to models for nonlinear filtrations, or for the gas flow in a porous medium. For a recent survey in these equations see [9].The main object of this work is to study the initial value problem...
Non-negative solutions to fast diffusions.
The purpose of this work is to study the class of non-negative continuous weak solutions of the non-linear evolution equation∂u/∂t = ∆φ(u), x ∈ Rn, 0 < t < T ≤ +∞.
Non-Newtonian fluids and function spaces
In this note we give an overview of recent results in the theory of electrorheological fluids and the theory of function spaces with variable exponents. Moreover, we present a detailed and self-contained exposition of shifted -functions that are used in the studies of generalized Newtonian fluids and problems with -structure.
Non-parallel plane Rayleigh Benard convection in cylindrical geometry
This paper considers the effect of a perturbed wall in regard to the classical Benard convection problem in which the lower rigid surface is of the form , s=ε r, in axisymmetric cylindrical polar coordinates (r,ϕ,z). The boundary conditions at s=0 for the linear amplitude equation are found and it is shown that these conditions are different from those which apply to the nonlinear problem investigated by Brown and Stewartson [1], representing the distribution of convection cells near the center....
Non-planar fronts in Boussinesq reactive flows