[{"command":"settings","settings":{"basePath":"\/educacion\/","pathPrefix":"","ajaxPageState":{"theme":"fa_facned","theme_token":"WTBt3BgGwkzuQE_ZAlZpEw3y-foxhKeM7tSJEHH8jck"}},"merge":true},{"command":"informationProductos","data":{"html":"\u003Cdiv class=\u0022entity entity-productos productos-productos clearfix\u0022\u003E\n\n      \u003Ch2\u003E\n              Well-posedness and numerical solver for a KPI equation with time-dependent coefficients.          \u003C\/h2\u003E\n  \n  \u003Cdiv class=\u0022content\u0022\u003E\n    \u003Cdiv class=\u0022form-item form-type-item\u0022\u003E\n  \u003Clabel\u003Efecha de publicaci\u00f3n \u003C\/label\u003E\n 2023-04-20\n\u003C\/div\u003E\n\u003Cdiv class=\u0022form-item form-type-item\u0022\u003E\n  \u003Clabel\u003ETipo de producto acad\u00e9mico \u003C\/label\u003E\n Publicaciones de investigaci\u00f3n\n\u003C\/div\u003E\n\u003Cdiv class=\u0022form-item form-type-item\u0022\u003E\n  \u003Clabel\u003EAutor(es) \u003C\/label\u003E\n Gerardo Arturo Loaiza Motato, Juan Carlos Mu\u00f1oz\n\u003C\/div\u003E\n\u003Cdiv class=\u0022form-item form-type-item\u0022\u003E\n  \u003Clabel\u003EDescripcion \u003C\/label\u003E\n Art\u00edculo sometido. \r\n\r\nUsing Kato\u2019s quasilinear theory, we derive a local well-posedness result for the periodic Cauchy\r\nproblem associated with a generalized Kadomtsev-Petvashvili (GKPI) model with time-dependent\r\ncoefficients. Additionally, we propose a numerical scheme for the GKPI equation restricted to a\r\nrectangular plane region and in the periodic setting, based on the so-called Rothe-type discretiza\r\ntion method. Temporal discretization is developed using a Crank-Nicholson-type scheme with\r\nsecond-order accuracy, together with a spatial discretization based on a finite element strategy\r\nimplemented with libraries from the FEniCS project on Python. Several computer simulations\r\nwith different types of exact solutions illustrate that the numerical solver is a very good candidate\r\nfor analyzing the propagation and interaction of waves described by this mathematical model,\r\neven when the model parameters are time-dependent.\n\u003C\/div\u003E\n\u003Cdiv class=\u0022form-item form-type-item\u0022\u003E\n  \u003Clabel\u003EDescarga \u003C\/label\u003E\n \u003Ca href=\u0022..\/sites\/default\/files\/Paper_GLoaiza_JCMunoz_2023.pdf\u0022\u003E \u003Cimg src =\u0022\/educacion\n\/sites\/all\/modules\/custom\/images\/download.png\u0022 width=\u002220\u0022 height=\u002220\u0022\/\u003E\u003C\/a\u003E\n\u003C\/div\u003E\n  \u003C\/div\u003E\n\u003C\/div\u003E\n"}}]