On the random wave equation within the mean square context
comunitat-uji-handle:10234/9
comunitat-uji-handle2:10234/7037
comunitat-uji-handle3:10234/8635
comunitat-uji-handle4:
INVESTIGACIONMetadades
Títol
On the random wave equation within the mean square contextData de publicació
2022-02Editor
American Institute of Mathematical Sciences (AIMS)Cita bibliogràfica
CALATAYUD, Julia; CORTÉS, Juan Carlos; JORNET, Marc. On the random wave equation within the mean square context. Discrete & Continuous Dynamical Systems-S, 2022, vol. 15, no 2, p. 409.Tipus de document
info:eu-repo/semantics/articleVersió
info:eu-repo/semantics/acceptedVersionParaules clau / Matèries
Resum
This paper deals with the random wave equation on a bounded domain with Dirichlet boundary conditions. Randomness arises from the velocity wave, which is a positive random variable, and the two initial conditions, ... [+]
This paper deals with the random wave equation on a bounded domain with Dirichlet boundary conditions. Randomness arises from the velocity wave, which is a positive random variable, and the two initial conditions, which are regular stochastic processes. The aleatory nature of the inputs is mainly justified from data errors when modeling the motion of a vibrating string. Uncertainty is propagated from these inputs to the output, so that the solution becomes a smooth random field. We focus on the mean square contextualization of the problem. Existence and uniqueness of the exact series solution, based upon the classical method of separation of variables, are rigorously established. Exact series for the mean and the variance of the solution process are obtained, which converge at polynomial rate. Some numerical examples illustrate these facts. [-]
Publicat a
Discrete & Continuous Dynamical Systems - S, February 2022, 15(2)Entitat finançadora
Ministerio de Economía y Competitividad, España | Universitat Jaume I
Codi del projecte o subvenció
PID2020–115270GB–I00
Títol del projecte o subvenció
postdoctoral contract , Acció 3.2 del Pla de Promoció de la Investigació de la Universitat Jaume I per a l'any 2020
Drets d'accés
© 2022 American Institute of Mathematical Sciences
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info:eu-repo/semantics/openAccess
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info:eu-repo/semantics/openAccess
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