Evento

Exact solutions for the fractional nonlinear Boussinesq equation

Ceretani, Andrea NoemíIcon ; Falcini, Federico; Garra, Roberto
Tipo del evento: Congreso
Nombre del evento: INdAM workshop on fractional differential equations : modeling, discretization, and numerical solvers
Fecha del evento: 12/07/2021
Institución Organizadora: Istituto Nazionale di Alta Matematica “Francesco Severi”; Università di Salerno;
Título de la revista: Fractional Differential Equations
Editorial: Springer
ISSN: 2281-5198
Idioma: Inglés
Clasificación temática:

Resumen

We investigate the existence of exact solutions in closed form to a fractional version of the nonlinear Boussinesq equation for groundwater flow through an unconfined aquifer. We show this fractional equation appears naturally when the classical nonlinear Darcy’s law is replaced by a space-fractional one. After a physical discussion on the fractional model, we give several exact solutions in closed form for special choices of initial and boundary data. We provide solutions for steady andunsteady cases, by considering both classical and fractional derivatives in time.
Palabras clave: nonlinear , Fractional , Boussinesq Equation
 
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info:eu-repo/semantics/openAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Unported (CC BY-NC-SA 2.5)
Identificadores
URI: http://hdl.handle.net/11336/256064
URL: https://link.springer.com/chapter/10.1007/978-981-19-7716-9_2
DOI: https://doi.org/10.1007/978-981-19-7716-9_2
URL: https://arxiv.org/abs/2303.04775
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Eventos(IMAS)
Eventos de INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Citación
Exact solutions for the fractional nonlinear Boussinesq equation; INdAM workshop on fractional differential equations : modeling, discretization, and numerical solvers; Roma; Italia; 2021; 17-27
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