A 2D climate energy balance model coupled with a 3D deep ocean model.
A blow up condition for a nonautonomous semilinear system.
A blow-up mechanism for a chemotaxis model
A blow-up result for nonlinear diffusion equations
A boundary control problem with a nonlinear reaction term.
A boundary value problem with multivariables integral type condition for parabolic equations.
A Cauchy problem for . Asymptotic behaviour of solutions
A cell complex structure for the space of heteroclines for a semilinear parabolic equation.
A characterization of caloric morphisms between manifolds.
A characterization of convex calibrable sets in with respect to anisotropic norms
A class of kinetic models for chemotaxis with threshold to prevent overcrowding.
A class of nonlocal parabolic problems occurring in statistical mechanics
We consider parabolic equations with nonlocal coefficients obtained from the Vlasov-Fokker-Planck equations with potentials. This class of equations includes the classical Debye system from electrochemistry as well as an evolution model of self-attracting clusters under friction and fluctuations. The local in time existence of solutions to these equations (with no-flux boundary conditions) and properties of stationary solutions are studied.
A class of one-dimensional degenerate parabolic equations
A class of time discrete schemes for a phase-field system of Penrose-Fife type
A class of time discrete schemes for a phase–field system of Penrose–Fife type
In this paper, a phase field system of Penrose–Fife type with non–conserved order parameter is considered. A class of time–discrete schemes for an initial–boundary value problem for this phase–field system is presented. In three space dimensions, convergence is proved and an error estimate linear with respect to the time–step size is derived.
A classification scheme for positive solutions to second order nonlinear iterative differential equations.
A combustion model with unbounded thermal conductivity and reactant diffusivity in non-smooth domains.
A comment on the Jäger-Kačur's linearization scheme for strongly nonlinear parabolic equations
The aim of this paper is to demonstrate how the variational equations from can be formulated and solved in some abstract Banach spaces without any a priori construction of special linearization schemes. This should be useful e.g. in the analysis of heat conduction problems and modelling of flow in porous media.
A comparison principle for a class of subparabolic equations in Grushin-type spaces.
A comparison principle for an American option on several assets: index and spread options.