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Weak solutions for an initial-boundary Q-Tensor problem related to liquid crystals
(Elsevier, 2015-01)
The coupled Navier-Stokes and Q-Tensor system is considered in a bounded three-dimensional domain under homogeneous Dirichlet boundary conditions for the velocity u and either nonhomogeneous Dirichlet or homogeneous Neumann ...
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Quasilinear non-uniformly parabolic-elliptic system modelling chemotaxis with volume filling effect. Existence and uniqueness of global-in-time solutions
(Juliusz Schauder Center for Nonlinear Studies, 2007)
A system of quasilinear non-uniformly parabolic-elliptic equations modelling chemotaxis and taking into account the volume filling effect is studied under no-flux boundary conditions. The proof of existence and uniqueness ...
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A model for two coupled turbulent fluids. Part II: numerical analysis of a spectral discretization
(Society for Industrial and Applied Mathematics, 2002)
We consider a system of equations that models the stationary flow of two immiscible turbulentfluids on adjacentsubdomains. The equations are coupled by nonlinear boundary conditions on the interface which is here a fixed ...
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A mixed nonlinear time-fractional Rayleigh-Stokes equation
(AIMS, 2022-07-01)
. This paper investigates a nonlinear time-fractional Rayleigh-Stokes equation with mixed nonlinearities containing a power-type function, a logarithmic function and an inverse time-forcing term. Applying Lagrange’s ...
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Lyapunov functionals and practical stability for stochastic differential delay equations with general decay rate
(Bolyai Institute, University of Szeged, 2022-12-01)
This paper stands for the almost sure practical stability of nonlinear stochastic differential delay equations (SDDEs) with a general decay rate. We establish some sufficient conditions based upon the construction of ...
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Periodic boundary value problem for nonlinear first order ordinary differential equations with impulses at fixed moments
(Universidad de Extremadura, 1998)
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On the controllability of parabolic systems with a nonlinear term involving the state and the gradient
(Society for Industrial and Applied Mathematics, 2002)
We present some results concerning the controllability of a quasi-linear parabolic equation (with linear principal part) in a bounded domain of RN with Dirichlet boundary conditions. We analyze the controllability problem ...
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Dynamics of multi-valued retarded p-Laplace equations driven by nonlinear colored noise
(American Institute of Physics, 2023-03-21)
This paper mainly considers the long-term behavior of p-Laplace equations with infinite delays driven by nonlinear colored noise. We firstly prove the existence of weak solutions to the equation, but the uniqueness of ...
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Analysis of a stochastic distributed delay epidemic model with relapse and Gamma distribution kernel
(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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Global attractors for multivalued random dynamical systems generated by random differential inclusions with multiplicative noise
(2001)
In this paper we consider a stochastic differential inclusion with multiplicative noise. It is shown that it generates a multivalued random dynamical system for which there also exists a global random attractor.