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The main topic of this thesis is the study of the non-linear stochastic wave equation in spatial dimension greater than 3 driven by spatially homogeneous Gaussian noise that is white in time. We are interested in questions of existence and uniqueness of so ...
Based on Volterra series the work presents a novel local nonlinear model of a certain class of linear-analytic systems. The special form of the expressions for the Laplace-domain Volterra kernels of such systems is exploited to obtain an approximation stru ...
Institute of Electrical and Electronics Engineers2009
The solution obtained with the acoustical image sources method was shown to be the contribution of terms issued from a series development of the integral method (believed to be the exact solution). Missing terms in the geometrical method represent, among o ...
This study discusses the capability of the constitutive laws for the matrix logarithm of the conformation tensor (LCT model) within the framework of the spectral elements method. The high Weissenberg number problems (HWNP) usually produce a lack of converg ...
This paper presents a model to estimate travel time using cumulative plots. Three different cases are considered: i) case-Det, for only detector data; ii) case-DetSig, for detector data and signal controller data and iii) case- DetSigSFR, for detector data ...
We introduce a new class of wavelets that behave like a given differential operator L. Our construction is inspired by the derivative-like behavior of classical wavelets. Within our framework, the wavelet coefficients of a signal y are the samples of a smo ...
The creep of a dislocation on its glide plane is essentially controlled by three different stress fields: the external applied stress, the internal stress field due to a multi-scale hierarchy of different obstacles (the structural defects acting on the dis ...
The presented work offers an improved planning tool as a response to the demand for active and passive solar architecture. An integral solution is presented for the design of solar assisted heating systems and decentralized electricity production using pho ...
We consider the following problem: Given a rational matrix A∈Qm×n and a rational polyhedron Q⊆Rm+p, decide if for all vectors b∈Rm, for which there exists an integral z∈Zp suc ...
Using a series development of the integral solution, a formal backing of the presence of image sources in geometrical acoustics methods has been shown. Furthermore, the existence of "invisible" sources is suggested, especially in the vicinity of obtuse ang ...