arXiv subjects

Duplex Elvis Houpa Danga

Publications and source records attributed to Duplex Elvis Houpa Danga.

2 recordsLinked to original sources

arXiv2026

Solution of second-order hyperbolic quasilinear systems with spatio-characteristic initial data in weighted Sobolev-type spaces under finite differentiability assumptions on the data

The aim of this work is to establish an existence and uniqueness solution for spatiocharacteristic second-order quasilinear hyperbolic problems in Sobolev type spaces with weights to clarify and complete the previous work done by H. Muller Zum Hagen and H.J. Seifert, Gen. Rel. and Gravit. 1977. We use this result in P. G. Louokdom tamto, PhD thesis ongoing, 2026 to establish a semi-global existence and uniqueness result for second-order quasilinear Goursat problems where the coefficients of the second derivatives depend linearly on the unknown in weighted Sobolev-type spaces, which we will apply to the harmonic gauge vacuum Einstein equations

math.AP↗

arXiv2015

Nonlinear Luenberger-like observers for some anthracnose models

In this paper, we propose observers for the dynamics of anthracnose disease described in [12]. Spatial and non spatial versions of the observers are given following an approach similar to [12]. The models given in [12] are improved in order to be more realistic. The conditions on parameters are more general. There are also changes in the equations modelling the dynamics of the berry volume (v) and the rot volume (v_r). We study theoretically the proposed observers in terms of well-posedness and convergence. We make several simulations to assess the effectiveness of observers which definitely display fairly good behaviour.

math.OC↗