On the solution of reaction-diffusion equations with double diffusivity.
On the solution of some inverse problems in infiltration
In this paper we discuss inverse problems in infiltration. We propose an efficient method for identification of model parameters, e.g., soil parameters for unsaturated porous media. Our concept is strongly based on the finite speed of propagation of the wetness front during the infiltration into a dry region. We determine the unknown parameters from the corresponding ODE system arising from the original porous media equation. We use the automatic differentiation implemented in the ODE solver LSODA....
On the solution of some inverse problems in porous media flow.
On the solution sets of some nonconvex hyperbolic differential inclusions
On the solvability of von Kármán equations
On the speed of spread for fractional reaction-diffusion equations.
On the stability of solutions of impulsive nonlinear parabolic equations
On the stability of solutions of impulsive nonlinear parabolic equations
Stability and asymptotic stability of the solutions of impulsive nonlinear pa ra bo lic equations are studied via the method of differential inequalities.
On the stability of solutions of nonlinear parabolic differential-functional equations
We consider a nonlinear differential-functional parabolic boundary initial value problem (1) ⎧A z + f(x,z(t,x),z(t,·)) - ∂z/∂t = 0 for t > 0, x ∈ G, ⎨z(t,x) = h(x) for t > 0, x ∈ ∂G, ⎩z(0,x) = φ₀(x) for x ∈ G, and the associated elliptic boundary value problem with Dirichlet condition (2) ⎧Az + f(x,z(x),z(·)) = 0 for x ∈ G, ⎨z(x) = h(x) for x ∈ ∂G ⎩ where , G is an open and bounded domain with (0 < α ≤ 1) boundary, the operator Az := ∑j,k=1m ajk(x) (∂²z/(∂xj ∂xk)) is...
On the stability of stationary solutions of a linear integro-differential equation.
On the stability of the Dirichlet problem for the vibrating string equation
On the Stefan problem: the variational approach and some applications
On the Stefan problem with a small parameter
We consider the multidimensional two-phase Stefan problem with a small parameter κ in the Stefan condition, due to which the problem becomes singularly perturbed. We prove unique solvability and a coercive uniform (with respect to κ) estimate of the solution of the Stefan problem for t ≤ T₀, T₀ independent of κ, and the existence and estimate of the solution of the Florin problem (Stefan problem with κ = 0) in Hölder spaces.
On the Stefan problem with energy specification
Vengono trattati due problemi di Stefan con la specificazione dell'energia. Dapprima si fornisce una formulazione debole di un problema unidimensionale ad una fase studiato in [4]: si dimostra un risultato di esistenza. In seguito si considera un problema di Stefan pluridimensionale e multifase in cui viene assegnata l'energia totale del sistema ad ogni istante; si mostra l’esistenza e l’unicità della soluzione per due formulazioni provando inoltre l’equivalenza fra queste.
On the strong solution for the 3D stochastic Leray- model.
On the strong unique continuation prinicple for inequalities of Maxwell type.
On the three-dimensional Euler equations with a free boundary subject to surface tension
On the time periodic free boundary associated to some nonlinear parabolic equations.
On the two-phase membrane problem with coefficients below the Lipschitz threshold
On the unique solvability of some nonlinear stochastic PDEs.