Exploració per tema "Classificació AMS::35 Partial differential equations::35L Partial differential equations of hyperbolic type"
Ara es mostren els items 1-15 de 15
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Analysis of a viscoelastic spring-mass model
(2003)
Article
Accés obertIn this paper we consider a linear wave equation with strong damping and dynamical boundary conditions as an alternative model for the classical spring-mass-damper ODE. Our purpose is to compare analytically these two ... -
Continuous dependence and convergence for Moore–Gibson–Thompson heat equation
(Springer Nature, 2023-08)
Article
Accés obertIn this paper, we investigate how the solutions vary when the relaxation parameter, the conductivity rate parameter, or the thermal conductivity parameter change in the case of the Moore-Gibson-Thompson heat equation. In ... -
Dual-phase-lag heat conduction with microtemperatures
(2021-12)
Article
Accés obertIn this paper, we propose a system of equations governing the dual-phase-lag heat conduction with microtemperatures. Several conditions on the coefficients are imposed so that the energy of the system is positive definite ... -
Green functions of the damped wave equation and applications
(Universitat Politècnica de Catalunya, 2019-07)
Treball Final de Grau
Accés obertThis work presents some results on the Green Functions of the Damped Wave Equation. We exhibit its fundamental solution and we study it. This fundamental solution allows us to obtain the solution of the initial value problem ... -
n2 of dissipative couplings are sufficient to guarantee the exponential decay in elasticity
(Springer Nature, 2022-07-06)
Article
Accés obertIn this paper, we prove that the solutions to the problem determined by an elastic material with n2 coupling dissipative mechanisms decay in an exponential way for every (bounded) geometry of the body, where n is the ... -
Non-Fourier heat conduction: The Maxwell-Cattaneo equations
(Universitat Politècnica de Catalunya, 2015-10)
Projecte Final de Màster Oficial
Accés obertWe study the derivation, properties and solution methods of the classical and the hyperbolic heat transfer equations. Some results to approximate the hyperbolic model with the classical model for small values of the thermal ... -
On a Caginalp phase-field system with two temperatures and memory
(2017-06)
Article
Accés obertThe Caginalp phase-field system has been proposed in [4] as a simple mathematical model for phase transition phenomena. In this paper, we are concerned with a generalization of this system based on the Gurtin-Pipkin law ... -
On the regularity and stability of three-phase-lag thermoelastic plate
(2022)
Article
Accés obertIn this paper we consider the following three-phase-lag thermoelastic plate u = ¿ ( u ¿ m ); c( _ + q ) = m (u_ + qu ) + (k + + k _): We obtain analyticity and exponential stability for the ... -
Phase-lag heat conduction: decay rates for limit problems and well-posedness
(2014-12-01)
Article
Accés obertIn two recent papers, the authors have studied conditions on the relaxation parameters in order to guarantee the stability or instability of solutions for the Taylor approximations to dual-phase-lag and three-phase-lag ... -
Self-similar profiles in Analysis of Fluids. A 1D model and the compressible Euler equations
(Universitat Politècnica de Catalunya, 2020-05-26)
Treball Final de Grau
Accés obert
Realitzat a/amb: Princeton UniversityEn aquest treball presentem dues contribucions originals al estudi dels perfils autosimilars del anàlilsi de fluids. Concretament, donem una nova prova de la existència de singularitats pel model de Okamoto-Sakajo-Wunsch ... -
Smooth linearization for a saddle on Banach spaces
(2003)
Article
Accés obertAs a continuation of a previous work on linearization of class C1 of diffeomorphisms and flows in infinite dimensions near a fixed point, in this work we deal with the case of a saddle point with some non-resonance restrictions ... -
Spatial behavior in high order partial differential equations
(2018-04)
Article
Accés obertIn this paper we study the spatial behavior of solutions to the equations obtained by taking formal Taylor approximations to the heat conduction dual-phase-lag and three-phase-lag theories, reflecting Saint-Venant's ... -
Spatial behavior in phase-lag heat conduction
(2015-03-01)
Article
Accés restringit per política de l'editorialIn this paper, we study the spatial behavior of solutions to the equations obtained by taking formal Taylor approximations to the heat conduction dual-phase-lag and three-phase-lag theories, reflecting Saint-Venant's ... -
The wave equation for stiff strings and piano tuning
(2017)
Article
Accés obertWe study the wave equation for a string with stiffness. We solve the equation and provide a uniqueness theorem with suitable boundary conditions. For a pinned string we compute the spectrum, which is slightly inharmonic. ... -
Uniqueness for a high order ill posed problem
(2023-10)
Article
Accés obertIn this work, we study a high order derivative in time problem. First, we show that there exists a sequence of elements of the spectrum which tends to infinity and therefore, it is ill posed. Then, we prove the uniqueness ...