Stability of Lewis and Vogel's result.
Stability of Lipschitz type in determination of initial heat distribution.
Stability of mappings with bounded distortion in the Sobolev norm on the John domains of Heisenberg groups.
Stability of mappings with bounded distortion on a Heisenberg group.
Stability of matter for the Hartree-Fock functional of the relativistic electron-positron field.
Stability of multipeakons
Stability of negative solitary waves.
Stability of nonlinear functional difference equations.
Stability of numerical processes
Stability of oscillating boundary layers in rotating fluids
We prove the linear and non-linear stability of oscillating Ekman boundary layers for rotating fluids in the so-called ill-prepared case under a spectral hypothesis. Here, we deal with the case where the viscosity and the Rossby number are both equal to . This study generalizes the study of [23] where a smallness condition was imposed and the study of [26] where the well-prepared case was treated.
Stability of peakons for the generalized Camassa-Holm equation.
Stability of periodic stationary solutions of scalar conservation laws with space-periodic flux
This article investigates the long-time behaviour of parabolic scalar conservation laws of the type , where and the flux is periodic in . More specifically, we consider the case when the initial data is an disturbance of a stationary periodic solution. We show, under polynomial growth assumptions on the flux, that the difference between u and the stationary solution behaves in norm like a self-similar profile for large times. The proof uses a time and space change of variables which is...
Stability of periodic waves in Hamiltonian PDEs
Partial differential equations endowed with a Hamiltonian structure, like the Korteweg–de Vries equation and many other more or less classical models, are known to admit rich families of periodic travelling waves. The stability theory for these waves is still in its infancy though. The issue has been tackled by various means. Of course, it is always possible to address stability from the spectral point of view. However, the link with nonlinear stability - in fact, orbital stability, since we are...
Stability of quasi-linear differential equations with transition conditions.
Stability of radially symmetric travelling waves in reaction–diffusion equations
Stability of semilinear equations with boundary and pointwise noise
Stability of solitary wave solutions for equations of short and long dispersive waves.
Stability of solitary waves for a system of nonlinear Schrödinger equations with three wave interaction
Stability of solitary waves for derivative nonlinear Schrödinger equation
Stability of solitary waves for nonlinear Schrödinger equation