Convergence to a positive equilibrium for some nonlinear evolution equations in a ball.
Convergence to stationary solutions in a model of self-gravitating systems
We study convergence of solutions to stationary states in an astrophysical model of evolution of clouds of self-gravitating particles.
Convergent numerical approximations of the thermomechanical phase transitions in shape memory alloys.
Couches limites de systèmes paraboliques
Coupling the Stokes and Navier–Stokes equations with two scalar nonlinear parabolic equations
This work deals with a system of nonlinear parabolic equations arising in turbulence modelling. The unknowns are the N components of the velocity field u coupled with two scalar quantities θ and φ. The system presents nonlinear turbulent viscosity and nonlinear source terms of the form and lying in L1. Some existence results are shown in this paper, including -estimates and positivity for both θ and φ.
Crank-Nicolson-Galerkin approximation of the periodic solutions of weakly nonlinear parabolic equations
Degenerate two-phase incompressible flow problems III: Perturbation analysis and numerical experiments.
Destabilizing effect of unilateral conditions in reaction-diffusion systems
Deterministic homogenization of parabolic monotone operators with time dependent coefficients.
Discrete Ljapunov functionals and -limit sets
Dos algoritmos para la resolución numérica de una ecuación parabólica casi-lineal.
Doubly nonlinear parabolic equations related to the -Laplacian operator.
Doubly nonlinear parabolic equations related to the -Laplacian operator: Semi-discretization.
Dynamic theory of quasilinear parabolic systems. III. Global existence (Erratum).
Eigenvalues of inequalities of reaction-diffusion type and destabilizing effect of unilateral conditions
Einige Anwendungen der mehrdimensionalen approximationstheorie zur Lösungseinschließung bei Randwertaufgaben
Einschliessungsaussagen bei Systemen semilinearer parabolischer Differentialgleichungen
Für die Lösungen seminlinearer parabolischer Differentialgleichungen werden Einschliessungsaussagen hergeleitet. Hierbei werden Aussagen zur Stabilität von Lösungen ermittelt. Die Resultate werden am Beispiel der Fitzhugh-Nagumo Gleichungen diskutiert.
Energy error estimates for a linear scheme to approximate nonlinear parabolic problems
Équations d'évolution dégénérées
Error estimates for barycentric finite volumes combined with nonconforming finite elements applied to nonlinear convection-diffusion problems
The subject of the paper is the derivation of error estimates for the combined finite volume-finite element method used for the numerical solution of nonstationary nonlinear convection-diffusion problems. Here we analyze the combination of barycentric finite volumes associated with sides of triangulation with the piecewise linear nonconforming Crouzeix-Raviart finite elements. Under some assumptions on the regularity of the exact solution, the and error estimates are established. At the end...