A Convergent Finite Elemet Formulation for Transonic Flow.
A decay estimate for a class of hyperbolic pseudo-differential equations
We consider the equation , where is a first order pseudo-differential operator with real symbol . Under a suitable convexity assumption on we find the decay properties for . These can be applied to the linear Maxwell system in anisotropic media and to the nonlinear Cauchy Problem , . If is a smooth function which satisfies near , and is small in suitably Sobolev norm, we prove global existence theorems provided is greater than a critical exponent.
A Direct Approach to the Mellin Transform.
A direct proof of the equivalence between the entropy solutions of conservation laws and viscosity solutions of Hamilton-Jacobi equations in one-space variable.
A distributional solution to a hyperbolic problem arising in population dynamics.
A Dynamic Frictionless Contact Problem with Adhesion and Damage
We consider a dynamic frictionless contact problem for a viscoelastic material with damage. The contact is modeled with normal compliance condition. The adhesion of the contact surfaces is considered and is modeled with a surface variable, the bonding field, whose evolution is described by a first order differential equation. We establish a variational formulation for the problem and prove the existence and uniqueness of the solution. The proofs are based on the theory of evolution equations with...
A fixed point theorem for affine mappings and its application to elasticity theory
In this paper we obtain a general fixed point theorem for an affine mapping in Banach space. As an application of this theorem we study existence of periodic solutions to the equations of the linear elasticity theory.
A functional method applied to operator equations.
A general decay estimate for a finite memory thermoelastic Bresse system
This work considers a Bresse system with viscoelastic damping on the vertical displacement and heat conduction effect on the shear angle displacement. A general stability result with minimal condition on the relaxation function is obtained. The system under investigation, to the best of our knowledge, is new and has not been studied before in the literature. What is more interesting is the fact that our result holds without the imposition of the equal speed of wave propagation condition, and differentiation...
A general transfer function representation for a class of hyperbolic distributed parameter systems
Results of transfer function analysis for a class of distributed parameter systems described by dissipative hyperbolic partial differential equations defined on a one-dimensional spatial domain are presented. For the case of two boundary inputs, the closed-form expressions for the individual elements of the 2×2 transfer function matrix are derived both in the exponential and in the hyperbolic form, based on the decoupled canonical representation of the system. Some important properties of the transfer...
A Glimm type functional for a special Jin–Xin relaxation model
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
A kinetic formulation for multi-branch entropy solutions of scalar conservation laws
A large data regime for nonlinear wave equations
We also exhibit a set of localized data for which the corresponding solutions are strongly focused, which in geometric terms means that a wave travels along an specific incoming null geodesic in such a way that almost all of the energy is concentrated in a tubular neighborhood of the geodesic and almost no energy radiates out of this neighborhood.
A lemma and a conjecture on the cost of rearrangements
A linear difference scheme for dissipative symmetric regularized long wave equations with damping term.