Results 101 to 110 of about 3,412 (247)

Existence results for dynamic inclusions on time scales with nonlocal initial conditions

Computers & Mathematics with Applications, 2007
The paper concerns the existence of solutions for first order dynamic inclusions on time scales with nonlocal initial conditions of the type \[ \begin{cases} y^{\triangle}(t)+p(t)y^{\sigma}(t)\in F(t,y(t)) & \text{ a.e. } t\in [0,b], \\ y(0)+\sum_{k=1}^{m} c_ky(t_k)=y_0, \end{cases} \] where \({T}\) is a nonempty, closed subset of \(\mathbb R\) (time ...
Yong-Kui Chang, Wan-Tong Li
openaire   +2 more sources

On the analyzing of bifurcation properties of the one‐dimensional Mackey–Glass model by using a generalized approach

Mathematical Methods in the Applied Sciences, EarlyView.
The goal of this work is to look at how a nonlinear model describes hematopoiesis and its complexities utilizing commonly used techniques with historical and material links. Based on time delay, the Mackey–Glass model is explored in two instances. To offer a range, the relevance of the parameter impacting stability (bifurcation) is recorded.
Shuai Zhang, Yaya Wang, Hongyin Geng, Wei Gao, Esin Ilhan, Haci Mehmet Baskonus   +5 more
wiley   +1 more source

T(w)o Patch or Not T(w)o Patch: A Novel Biocontrol Model

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT A number of top‐down biocontrol models have been proposed where the introduced predators' efficacy is enhanced via the provision of additional food (AF). However, if the predator has a pest‐dependent monotone functional response, pest extinction is unattainable. In the current manuscript, we propose a model where a predator with pest‐dependent
Urvashi Verma, Aniket Banerjee, Rana D. Parshad   +2 more
wiley   +1 more source

Cauchy Problem with Summable Initial-Value Functions for Parabolic Equations with Translated Potentials

Mathematics
We study the Cauchy problem for differential–difference parabolic equations with potentials undergoing translations with respect to the spatial-independent variable.
Andrey B. Muravnik, Grigorii L. Rossovskii   +1 more
doaj   +1 more source

Solvability and Boundedness in Chemotaxis‐Consumption Models With Oppositely Acting Nonlocal Sources

Mathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this paper, we investigate a chemotaxis system featuring a class of external source terms that incorporate both local and nonlocal growth as well as dampening effects. The model describes the evolution of a cell density u$$ u $$, which migrates in response to a chemical signal v$$ v $$, within an impermeable habitat.
Rafael Díaz Fuentes, Fatma Gamze Düzgün, Silvia Frassu, Giuseppe Viglialoro   +3 more
wiley   +1 more source

Anisotropic Initial Damage and Its Effect on Tensile Response of Plain Concrete

International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.
ABSTRACT Damage is often described as isotropic, implying that a scalar value describes its initial state. However, the prior micro‐cracking pattern at points of an existing building, that is, the initial damage, may be oriented by a preload. The degradation of the Volume Element due to oriented preloads shall be described as anisotropic and ...
A. Fau, A. A. Basmaji, U. Nackenhorst, R. Desmorat   +3 more
wiley   +1 more source

Modeling Biocemented Sands: Hypoplastic Model for MICP‐Based Ground Improvement

International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.
ABSTRACT Bio‐cementation offers a sustainable and low‐carbon alternative to conventional ground improvement methods, aligning with the growing demand for green geotechnical solutions. To enable reliable numerical simulation of bio‐cemented soil behavior in engineering applications, advanced constitutive models are required to account for the effects of
Merita Tafili, Hossam Abdellatif, Nazanin Irani, Torsten Wichtmann   +3 more
wiley   +1 more source

Oleinik-type estimates for nonlocal conservation laws and applications to the nonlocal-to-local limit [PDF]

We consider a class of nonlocal conservation laws with exponential kernel and prove that quantities involving the nonlocal term W := 1(-infinity,0](center dot)exp(center dot) * rho satisfy an Oleinik-type entropy condition.
Crippa G., De Nitti N., Keimer A., Marconi E., Coclite G. M., Colombo M., Spinolo L. V., Pflug L.   +7 more
core   +3 more sources

A Geometrically Regularized Gradient‐Damage Model With Orthogonality‐Based Energy Split for Dynamic Anisotropic Compression‐Shear Fracture

International Journal for Numerical and Analytical Methods in Geomechanics, EarlyView.
ABSTRACT This study proposes a novel geometrically regularized gradient‐damage model for simulating dynamic mixed‐mode fracture in orthotropic materials with tension–compression asymmetry. In this model, a thermodynamic framework is formulated by incorporating damage dissipation into internal energy evolution, from which the constitutive relation and ...
Hui Li, Shanyong Wang
wiley   +1 more source

Modulation of turbulence and mesoscale structure in nested large‐eddy simulations with a gray‐zone parent domain

Quarterly Journal of the Royal Meteorological Society, EarlyView.
The cell perturbation (CP) method mitigate mesoscale structural perturbations entering large‐eddy simulations (LES) from gray‐zone parent domains. The turbulent kinetic energy (TKE) bias‐filtering effect of CP increases with nesting ratio and is most pronounced under weakly convective conditions.
Jung‐Hee Ryu, Song‐Lak Kang
wiley   +1 more source