AbstractWe propose a hyperbolic generalisation of the well-known reaction diffusion equation and study the structure of its ω-limit sets. Under a dissipativity condition on the nonlinearity, we show quasi-convergence of the flow, saying that the ω-limit set of any orbit is non-empty, compact, connected, and contained in the set of equilibrium solutions
In this paper, we study the generic hyperbolicity of equilibria of a reaction-diffusion system with ...
We introduce a class of discrete velocity BGK type approximations to multidimensional scalar nonline...
We consider the initial-boundary value problem for a degenerate reaction diffusion equation consisti...
AbstractWe propose a hyperbolic generalisation of the well-known reaction diffusion equation and stu...
In this article, a solution of a nonlinear pseudoparabolic equation is constructed as a singular lim...
Kinetic transport equations with a given confining potential and non-linear relaxation type collisio...
Kinetic transport equations with a given confining potential and non-linear relaxation type collisio...
In this paper we introduce a diffusive scaling to a hyperbolic system with relaxation and prove that...
Abstract. In this Note we study the asymptotic behavior of reaction diffusion equations with nonline...
Abstract. This paper deals with the mathematical analysis of a quasilinear parabolic-hyperbolic prob...
ii Abstract. In a first part, we study the zero diffusion-dispersion limit for a class of nonlinear ...
In this paper, we extend and complement previous works about propagation in kinetic reaction-transpo...
AbstractWe are concerned with singular limits of stiff relaxation and dominant diffusion for general...
In this work we study ODE limit problems for reaction-diffusion equations for large diffusion and we...
We consider a class of nonlinear dissipative-dispersive perturbations of the scalar hyperbolic conse...
In this paper, we study the generic hyperbolicity of equilibria of a reaction-diffusion system with ...
We introduce a class of discrete velocity BGK type approximations to multidimensional scalar nonline...
We consider the initial-boundary value problem for a degenerate reaction diffusion equation consisti...
AbstractWe propose a hyperbolic generalisation of the well-known reaction diffusion equation and stu...
In this article, a solution of a nonlinear pseudoparabolic equation is constructed as a singular lim...
Kinetic transport equations with a given confining potential and non-linear relaxation type collisio...
Kinetic transport equations with a given confining potential and non-linear relaxation type collisio...
In this paper we introduce a diffusive scaling to a hyperbolic system with relaxation and prove that...
Abstract. In this Note we study the asymptotic behavior of reaction diffusion equations with nonline...
Abstract. This paper deals with the mathematical analysis of a quasilinear parabolic-hyperbolic prob...
ii Abstract. In a first part, we study the zero diffusion-dispersion limit for a class of nonlinear ...
In this paper, we extend and complement previous works about propagation in kinetic reaction-transpo...
AbstractWe are concerned with singular limits of stiff relaxation and dominant diffusion for general...
In this work we study ODE limit problems for reaction-diffusion equations for large diffusion and we...
We consider a class of nonlinear dissipative-dispersive perturbations of the scalar hyperbolic conse...
In this paper, we study the generic hyperbolicity of equilibria of a reaction-diffusion system with ...
We introduce a class of discrete velocity BGK type approximations to multidimensional scalar nonline...
We consider the initial-boundary value problem for a degenerate reaction diffusion equation consisti...
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