Recent Submissions

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    Hyers-Ulam stability for coupled random fixed point theorems and applications to periodic boundary value random problems  [Article]

    Boudaoui, Ahmed; Caraballo Garrido, Tomás; Blouhi, Tayeb (De Gruyter, 2019-09)
    In this paper, we prove some existence, uniqueness and Hyers-Ulam stability results for the coupled random fixed point of a pair of contractive type random operators on separable complete metric spaces. The approach is ...
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    Modeling and analysis of random and stochastic input flows in the chemostat model  [Article]

    Caraballo Garrido, Tomás; Garrido Atienza, María José; López de la Cruz, Javier (American Institute of Mathematical Sciences, 2019-08)
    In this paper we study a new way to model noisy input flows in the chemostat model, based on the Ornstein-Uhlenbeck process. We introduce a parameter β as drift in the Langevin equation, that allows to bridge a gap between ...
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    Analysis of a stochastic distributed delay epidemic model with relapse and Gamma distribution kernel  [Article]

    Caraballo Garrido, Tomás; El Fatini, Mohamed; El Khalifi, Mohamed; Gerlach, Richard; Pettersson, Roger (Elsevier, 2020-04)
    In this work, we investigate a stochastic epidemic model with relapse and distributed delay. First, we prove that our model possesses and unique global positive solution. Next, by means of the Lyapunov method, we determine ...
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    A free boundary tumor model with time dependent nutritional supply  [Article]

    Sun, Wenlong; Caraballo Garrido, Tomás; Han, Xiaoying; Kloeden, Peter E. (Elsevier, 2020-06)
    A non-autonomous free boundary model for tumor growth is studied. The model consists of a nonlinear reaction diffusion equation describing the distribution of vital nutrients in the tumor and a nonlinear integro-differential ...
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    On the asymptotic behavior of highly nonlinear hybrid stochastic delay differential equations  [Article]

    Zhang, Tian; Chen, Huabin; Yuan, Chenggui; Caraballo Garrido, Tomás (American Institute of Mathematical Sciences, 2019-10)
    In this paper, under a local Lipschitz condition and a monotonicity condition, the problems on the existence and uniqueness theorem as well as the almost surely asymptotic behavior for the global solution of highly nonlinear ...
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    Analysis of a stochastic 2D–Navier-Stokes model with infinite delay  [Article]

    Liu, Linfang; Caraballo Garrido, Tomás (Springer, 2019-12)
    Some results concerning a stochastic 2D Navier-Stokes system when the external forces contain hereditary characteristics are established. The existence and uniqueness of solutions in the case of unbounded (infinite) delay ...
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    Trajectory and global attractors for generalized processes  [Article]

    Samprogna, Rodrigo Antonio; Gentile Mossa, Claudia Buttarello; Caraballo Garrido, Tomás; Schiabel, Karina (American Institute of Mathematical Sciences, 2019-08)
    In this work the theory of generalized processes is used to describe the dynamics of a nonautonomous multivalued problem and, through this approach, some conditions for the existence of trajectory attractors are proved. ...
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    Exact controllability to the trajectories for parabolic PDEs with nonlocal nonlinearities  [Article]

    Fernández Cara, Enrique; Limaco Ferrel, Juan; Nina Huaman, Dany; Núñez Chávez, Miguel R. (Springer, 2019-09)
    This paper deals with the analysis of the internal control of a parabolic PDE with nonlinear diffusion, nonlocal in space. In our main result, we prove the local exact controllability to the trajectories with distributed ...
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    A non-local perturbation of the logistic equation in IR N  [Article]

    Delgado Delgado, Manuel; Molina Becerra, Mónica; Rodrigues dos Santos Júnior, Joao; Suárez Fernández, Antonio (Elsevier, 2019-10)
    A logistic equation in the whole space is considered. In this problem, a non-local perturbation is included. We establish a new sub-supersolution method forgeneral nonlocal elliptic equations and, consequently, we obtain ...
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    A streamline derivative POD-ROM for advection-diffusion-reaction equations  [Article]

    Rubino, Samuele (EDP Sciences, 2018-10)
    We introduce a new streamline derivative projection-based closure modeling strategy for the numerical stabilization of Proper Orthogonal Decomposition-Reduced Order Models (PODROM). As a first preliminary step, the proposed ...
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    Unilateral global bifurcation for a class of quasilinear elliptic systems and applications  [Article]

    Cintra da Silva, Willian; Morales Rodrigo, Cristian; Suárez Fernández, Antonio (Elsevier, 2019-06)
    In this paper we establish a unilateral bifurcation result for a class of quasilinear elliptic system strongly coupled, extending the bifurcation theorem of [J. López-Gómez. Nonlinear eigenvalues and global bifurcation ...
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    Low rank approximation of multidimensional data  [Chapter of Book]

    Azaïez, Mejdi; Lestandi, Lucas; Chacón Rebollo, Tomás (Springer, 2019)
    In the last decades, numerical simulation has experienced tremendous improvements driven by massive growth of computing power. Exascale computing has been achieved this year and will allow solving ever more complex problems. ...
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    Unconditionally energy stable fully discrete schemes for a chemo-repulsion model  [Article]

    Guillén González, Francisco Manuel; Rodríguez Bellido, María Ángeles; Rueda Gómez, Diego Armando (American Mathematical Society, 2019-09)
    This work is devoted to studying unconditionally energy stable and mass-conservative numerical schemes for the following repulsive-productive chemotaxis model: find u ≥ 0, the cell density, and v ≥ 0, the chemical ...
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    Convergence to equilibrium of global weak solutions for a Cahn-Hilliard-Navier-Stokes vesicle model  [Article]

    Climent Ezquerra, María Blanca; Guillén González, Francisco Manuel (Springer, 2019-08)
    In this paper, we introduce a model describing the dynamic of vesicle membranes within an incompressible viscous fluid in 3D domains. The system consists of the NavierStokes equations, with an extra stress tensor depending ...
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    Exponential stability of an incompressible non-Newtonian fluid with delay  [Article]

    Liu, Linfang; Caraballo Garrido, Tomás; Fu, Xianlong (American Institute of Mathematical Sciences, 2018-12)
    The existence and uniqueness of stationary solutions to an incompressible non-Newtonian fluid are first established. The exponential stability of steady-state solutions is then analyzed by means of four different approaches. ...
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    Strong trajectory statistical solutions and Liouville type equation for dissipative Euler equations  [Article]

    Zhao, Caidi; Song, Zhongchun; Caraballo Garrido, Tomás (Elsevier, 2020-01)
    The main aim of this letter is to use the strong compact strong trajectory attractor to construct the strong trajectory statistical solutions for two-dimensional dissipative Euler equations. Further, it is established that ...
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    The asymptotic behaviour of fractional lattice systems with variable delay  [Article]

    Liu, Linfang; Caraballo Garrido, Tomás; Kloeden, Peter E. (De Gruyter, 2019-06)
    The existence and uniqueness of global solutions for a fractional functional differential equation is established. The asymptotic behaviour of a lattice system with a fractional substantial time derivative and variable time ...
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    A way to model stochastic perturbations in population dynamics models with bounded realizations  [Article]

    Caraballo Garrido, Tomás; Colucci, Renato; López de la Cruz, Javier; Rapaport, Alain (Elsevier, 2019-10)
    In this paper, we analyze the use of the Ornstein-Uhlenbeck process to model dynamical systems subjected to bounded noisy perturbations. In order to discuss the main characteristics of this new approach we consider some ...
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    Existence of solutions and stability for impulsive neutral stochastic functional differential equations  [Article]

    Benhadri, Mimia; Caraballo Garrido, Tomás; Zeghdoudi, Halim (Taylor & Franci, 2019)
    In this paper we prove some results on the existence of solutions and the mean square asymptotic stability for a class of impulsive neutral stochastic differential systems with variable delays by using a contraction mapping ...
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    Long time behavior of fractional impulsive stochastic differential equations with infinite delay  [Article]

    Xu, Jiahoui; Caraballo Garrido, Tomás (American Institute of Mathematical Sciences, 2019-06)
    This paper is first devoted to the local and global existence of mild solutions for a class of fractional impulsive stochastic differential equations with infinite delay driven by both K-valued Q-cylindrical Brownian motion ...

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