A5076752071- Mathematical Biology Tumor Growth
- Advanced Mathematical Modeling in Engineering
- Mathematical and Theoretical Epidemiology and Ecology Models
- Stability and Controllability of Differential Equations
- Advanced Numerical Methods in Computational Mathematics
- Gene Regulatory Network Analysis
- Cancer Cells and Metastasis
- Cellular Mechanics and Interactions
- Numerical methods in inverse problems
- Numerical methods in engineering
- Differential Equations and Numerical Methods
- Fractional Differential Equations Solutions
- Advanced Mathematical Physics Problems
- Nonlinear Waves and Solitons
- Nonlinear Partial Differential Equations
- Tribology and Lubrication Engineering
- Model Reduction and Neural Networks
- Numerical methods for differential equations
- Computational Fluid Dynamics and Aerodynamics
- Rheology and Fluid Dynamics Studies
- Evolution and Genetic Dynamics
- MRI in cancer diagnosis
- Gear and Bearing Dynamics Analysis
- Geometry and complex manifolds
- Coastal and Marine Dynamics
Institute of Mathematical Sciences
2020-2024
Universidad Complutense de Madrid
2013-2023
Gauhati University
2023
In this paper we consider a system of three parabolic equations modeling the behavior two biological species moving attracted by chemical factor. The substance verifies equation with slow diffusion. contains second order terms in first chemotactic effects. We apply an iterative method to obtain global existence solutions using that total mass is conserved. stability homogeneous steady states studied energy method. A final example presented illustrate theoretical results.
In this paper, we study a system of partial differential equations describing the evolution population under chemotactic effects with non-local reaction terms. We consider an external application chemoattractant in and cases one two populations competition. By introducing global competitive/cooperative factors terms total mass populations, obtain, for range parameters, that any solution positive bounded initial data converges to spatially homogeneous state components. The proofs rely on...
In this paper we prove a discrete version of the classical Ingham inequality for nonharmonic Fourier series whose exponents satisfy gap condition. Time integrals are replaced by sums on mesh. We that, as mesh becomes finer and finer, limit is continuous one. This analysis partially motivated control-theoretical issues. As an application analyze control/observation properties numerical approximation schemes 1-d wave equation. The provides observability controllability results which uniform...
In this paper we consider a general system of reaction-diffusion equations and introduce comparison method to obtain qualitative properties its solutions. The is applied study the stability homogeneous steady states asymptotic behavior solutions different systems with chemotactic term. theoretical results obtained are slightly modified be problems where coupled in differentiated terms / or contain nonlocal terms. We concerning global by Ordinary Differential Equations.
We introduce a meshless method derived by considering the time variable as spatial without need to extend further conditions solution of linear and non-linear parabolic PDEs. The is based on moving least squares method, more precisely, generalized finite difference (GFDM), which allows us select well-conditioned stars. Several 2D 3D examples, including variable, are shown for both regular irregular node distributions. results compared with explicit GFDM in terms errors execution time.
We introduce a meshless method derived by considering the time variable as spatial without need to extend further conditions solution of linear and non-linear hyperbolic PDEs. The is based on moving least squares method, more precisely in Generalized Finite Difference Method which allows us select well-conditioned stars. Several 2D 3D examples including are shown for both regular irregular node distributions. results compared with explicit GFDM terms errors execution time.
In this paper we present an application of the Generalized Finite Difference Method to solve generalized nonlinear Benjamin–Bona–Mahony–Burgers equation in 2D and 3D. We provide two approaches solving BBMB equation. First, directly use explicit GFD scheme, second, transform into a PDE system. further attempt find criteria for convergence fully method using GFDM Benjamin–Bona–Mahony–Bourgers
We study a parabolic‐elliptic chemotactic PDEs system, which describes the evolution of biological population “ u ” and chemical substance v in bounded domain . consider growth term logistic type equation form μ (1 − + f ( t , x )). The function ,” describing resources systems, presents periodic asymptotic behavior sense urn:x-wiley:mma:media:mma5423:mma5423-math-0002 where ∗ is independent time. global existence solutions its behavior. Under suitable assumptions on initial data if constant...