Zobrazeno 1 - 10 of 59 pro vyhledávání: '"A. M. Márquez-Durán"'
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Akademický článek
Long time dynamics for functional three-dimensional Navier-Stokes-Voigt equations
Autor: T. Caraballo, A. M. Márquez-Durán
Publikováno v: AIMS Mathematics, Vol 5, Iss 6, Pp 5470-5494 (2020)
In this paper we consider a non-autonomous Navier-Stokes-Voigt model including a variety of delay terms in a unified formulation. Firstly, we prove the existence and uniqueness of solutions by using a Galerkin scheme. Next, we prove the existence and
Externí odkaz: https://doaj.org/article/3a4c88be835c424abe90cf67a307d8ac
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2
Long time dynamics for functional three-dimensional Navier-Stokes-Voigt equations
Autor: Tomás Caraballo, Antonio M. Márquez-Durán
Publikováno v: idUS: Depósito de Investigación de la Universidad de Sevilla
Universidad de Sevilla (US)
AIMS Mathematics, Vol 5, Iss 6, Pp 5470-5494 (2020)
idUS. Depósito de Investigación de la Universidad de Sevilla
instname
In this paper we consider a non-autonomous Navier-Stokes-Voigt model including a variety of delay terms in a unified formulation. Firstly, we prove the existence and uniqueness of solutions by using a Galerkin scheme. Next, we prove the existence and
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e2f6dc06e883bacea20518d100c2e1b2
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3
Asymptotic behaviour of a non-classical and non-autonomous diffusion equation containing some hereditary characteristic
Autor: Rivero Felipe, Tomás Caraballo, Antonio M. Márquez-Durán
Publikováno v: Discrete & Continuous Dynamical Systems - B. 22:1817-1833
Our aim in this work is the study of the existence and uniqueness of solutions for a non-classical and non-autonomous diffusion equation containing infinite delay terms. We also analyze the asymptotic behaviour of the system in the pullback sense and
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::adee990198a4c3f44a2e58fdaa4519c7
https://doi.org/10.3934/dcdsb.2017108
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4
Asymptotic behavior of solutions for a three dimensional system of globally modified Navier–Stokes equations with a locally Lipschitz delay term
Autor: Pedro Marín-Rubio, José Real, Antonio M. Márquez-Durán
Publikováno v: Nonlinear Analysis: Theory, Methods & Applications. 79:68-79
Existence, uniqueness, and continuity properties of solutions for a globally modified version of Navier–Stokes equations with finite delay terms within a locally Lipschitz operator are established. Moreover, we also analyze the stationary problem,
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::ba3a907c97ddbc6c231feaf1dc732b39
https://doi.org/10.1016/j.na.2012.11.006
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6
A Nonclassical and Nonautonomous Diffusion Equation Containing Infinite Delays
Autor: Antonio M. Márquez-Durán, Tomás Caraballo, Felipe Rivero
Publikováno v: Springer Proceedings in Mathematics & Statistics ISBN: 9783319328553
We first study the well-posedness of a nonclassical and nonautonomous diffusion equation containing unbounded delays. Then, we prove the existence and uniqueness of local solutions, and finally we prove the global in time existence of solutions as we
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::6b0f5e946355b80bacffbddff11bb745
https://doi.org/10.1007/978-3-319-32857-7_36
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7
Three dimensional system of globally modified Navier-Stokes equations with infinite delays
Autor: José Real, Antonio M. Márquez-Durán, Pedro Marín-Rubio
Publikováno v: Discrete & Continuous Dynamical Systems - B. 14:655-673
Existence and uniqueness of solution for a globally modified version of Navier-Stokes equations containing infinite delay terms are established. Moreover, we also analyze the stationary problem and, under suitable additional conditions, we obtain glo
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::a3e7466ea8ac8318ba50a51f0e425c6b
https://doi.org/10.3934/dcdsb.2010.14.655
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8
Asymptotic behaviour of the three-dimensional α-Navier–Stokes model with delays
Autor: Antonio M. Márquez-Durán, Tomás Caraballo, José Real
Publikováno v: Journal of Mathematical Analysis and Applications. 340:410-423
We prove the existence and exponential stability of the stationary solutions for a three-dimensional α-Navier–Stokes model with delays. Instead of working directly with the model, we establish the results for a general abstract delay model, and th
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9ac2dd668451f6c2ce3d8b5c8a1b378d
https://doi.org/10.1016/j.jmaa.2007.08.011
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9
The Asymptotic Behaviour of a Stochastic 3D LANS-α Model
Autor: Antonio M. Márquez-Durán, José Real, Tomás Caraballo
Publikováno v: Applied Mathematics and Optimization. 53:141-161
The long-time behaviour of a stochastic 3D LANS-α model on a bounded domain is analysed. First, we reformulate the model as an abstract problem. Next, we establish sufficient conditions ensuring the existence of stationary (steady state) solutions o
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::346d0dadf4c0ed15c5dcdb4e030029b7
https://doi.org/10.1007/s00245-005-0839-9
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10
ON THE STOCHASTIC 3D-LAGRANGIAN AVERAGED NAVIER–STOKES α-MODEL WITH FINITE DELAY
Autor: José Real, Antonio M. Márquez-Durán, Tomás Caraballo
Publikováno v: Stochastics and Dynamics. :189-200
Existence and uniqueness of solutions for a stochastic version of the 3D-Lagrangian averaged Navier–Stokes (LANS-α) equation in a bounded domain and containing some hereditary characteristics are proved.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::47ed418d7f589c85bd2dddd6d4352387
https://doi.org/10.1142/s021949370500147x
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