A Heat Semigroup Version of Bernstein's Theorem on Lie Groups.
A heterogeneous alternating-direction method for a micro-macro dilute polymeric fluid model
We examine a heterogeneous alternating-direction method for the approximate solution of the FENE Fokker–Planck equation from polymer fluid dynamics and we use this method to solve a coupled (macro-micro) Navier–Stokes–Fokker–Planck system for dilute polymeric fluids. In this context the Fokker–Planck equation is posed on a high-dimensional domain and is therefore challenging from a computational point of view. The heterogeneous alternating-direction scheme combines a spectral Galerkin method for...
A hierarchical preconditioner for the mortar finite element method.
A hierarchy of hydrodynamic models for plasmas. Zero-electron-mass limits in the drift-diffusion equations
A high-order difference scheme for a nonlocal boundary-value problem for the heat equation.
A Hölder infinity Laplacian
In this paper we study the limit as p → ∞ of minimizers of the fractional Ws,p-norms. In particular, we prove that the limit satisfies a non-local and non-linear equation. We also prove the existence and uniqueness of solutions of the equation. Furthermore, we prove the existence of solutions in general for the corresponding inhomogeneous equation. By making strong use of the barriers in this construction, we obtain some regularity results.
A Hölder infinity Laplacian
In this paper we study the limit as p → ∞ of minimizers of the fractional Ws,p-norms. In particular, we prove that the limit satisfies a non-local and non-linear equation. We also prove the existence and uniqueness of solutions of the equation. Furthermore, we prove the existence of solutions in general for the corresponding inhomogeneous equation. By making strong use of the barriers in this construction, we obtain some regularity results.
A Holmgren type theorem for partial differential equations whose coefficients are Gevrey functions.
A homogenization result for planar, polygonal networks
A homotopy method for solving an equation of the type
A Hopf bifurcation generated by variation of the domain
A Hopf bifurcation of interfaces in a Dirichlet problem.
A Hörmander-type spectral multiplier theorem for operators without heat kernel
Hörmander’s famous Fourier multiplier theorem ensures the -boundedness of whenever for some , where we denote by the set of functions satisfying the Hörmander condition for derivatives. Spectral multiplier theorems are extensions of this result to more general operators and yield the -boundedness of provided for some sufficiently large. The harmonic oscillator shows that in general is not sufficient even if has a heat kernel satisfying gaussian estimates. In this paper,...
A Hybrid Model Describing Different Morphologies of Tumor Invasion Fronts
The invasive capability is fundamental in determining the malignancy of a solid tumor. Revealing biomedical strategies that are able to partially decrease cancer invasiveness is therefore an important approach in the treatment of the disease and has given rise to multiple in vitro and in silico models. We here develop a hybrid computational framework, whose aim is to characterize the effects of the different cellular and subcellular mechanisms involved...
A hybrid neural network model for the dynamics of the Kuramoto-Sivashinsky equation.
A hybrid semi-primitive shock capturing scheme for conservation laws.
A hyperbolic model of chemotaxis on a network: a numerical study
In this paper we deal with a semilinear hyperbolic chemotaxis model in one space dimension evolving on a network, with suitable transmission conditions at nodes. This framework is motivated by tissue-engineering scaffolds used for improving wound healing. We introduce a numerical scheme, which guarantees global mass densities conservation. Moreover our scheme is able to yield a correct approximation of the effects of the source term at equilibrium. Several numerical tests are presented to show the...
A hyperbolic problem with nonlinear second-order boundary damping.
A KAM theorem for infinite-dimensional discrete systems.
A KAM-theorem for some nonlinear partial differential equations