Výsledky vyhledávání - "Villagrán, Octavio"

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Higher order nonlinear Schr\'odinger equation in domains with moving boundaries

Autor: Mollisaca, Raul Nina, Cortés, Mauricio Sepúlveda, Asém, Rodfigo Véjar, Villagrán, Octavio Vera

The initial-boundary value problem in a bounded domain with moving boundaries and nonhomogeneous boundary conditions for a higher order nonlinear Schr\"odinger (HNLS) equation is considered. Existence and uniqueness of global weak solutions are prove

Externí odkaz: http://arxiv.org/abs/2406.18793

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Asymptotic Behavior of a transmission Heat/Piezoelectric smart material with internal fractional dissipation law

Autor: Issa, Ibtissam, Soufyane, Abdelaziz, Villagran, Octavio Vera

In this paper, we examine the stability of a heat-conducting copper rod and a magnetizable piezoelectric beam, with fractional damping affecting the longitudinal displacement of the piezoelectric material's centerline. We establish a polynomial stabi

Externí odkaz: http://arxiv.org/abs/2404.07997

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Gain of regularity for a coupled system of generalized nonlinear Schr\'odinger equations

Autor: Mollisaca, Raul Nina, Cortés, Mauricio Sepúlveda, Asem, Rodrigo Véjar, Villagrán, Octavio Vera

In this paper we study the smoothness properties of solutions to a one-dimensional coupled nonlinear Schr\"{o}dinger system equations that describes some physical phenomena such as propagation of polarized laser beams in birefringent Kerr medium in n

Externí odkaz: http://arxiv.org/abs/2301.07816

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