Results 41 to 50 of about 4,589 (305)
In this paper, we study nonlocal dynamics of a nonlinear delay differential equation. This equation with different types of nonlinearities appears in medical, physical, biological, and ecological applications.
Alexandra Kashchenko
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Phase Field Failure Modeling: Brittle‐Ductile Dual‐Phase Microstructures under Compressive Loading
The approach by Amor and the approach by Miehe and Zhang for asymmetric damage behavior in the phase field method for fracture are compared regarding their fitness for microcrack‐based failure modeling. The comparison is performed for the case of a dual‐phase microstructure with a brittle and a ductile constituent.
Jakob Huber, Jan Torgersen, Ewald Werner
wiley +1 more source
In nonlocal elasticity, the constitutive equation for the stress tensor is written in an integral form, with the weight function, referred to as the nonlocality kernel, often being the Green’s function for the partial differential equation. In this paper,
Yuriy Povstenko +4 more
doaj +1 more source
Porous Three-Dimensional Scaffold Generation for 3D Printing
In this paper, we present an efficient numerical method for arbitrary shaped porous structure generation for 3D printing. A phase-field model is employed for modeling phase separation phenomena of diblock copolymers based on the three-dimensional ...
Chaeyoung Lee +3 more
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Dynamics of stochastic nonlocal partial differential equations
This paper is concerned with the asymptotic behavior of solutions to nonlocal stochastic partial differential equations with multiplicative and additive noise driven by a standard Brownian motion, respectively. First of all, the stochastic nonlocal differential equations are transformed into their associated conjugated random differential equations, we
Jiaohui Xu, Tomás Caraballo
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First-Order Partial Differential Equation with a Nonlocal Boundary Condition
In this paper, the initial value problem for the first-order partial differential equation with the nonlocal boundary condition is studied. The positivity of the space operator A(x) generated by this problem in interpolation spaces is established.
Erdogan, Abdullah S. +3 more
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Solution‐processed Cu(bdc) forms prototypical MOF thin films for which a multitude of not fully satisfactory structural models have been suggested. Combining rotating grazing‐incidence diffraction and X‐ray reflectivity on two complementary samples with density‐functional theory, we first discard the previously suggested models and then identify a non ...
Narges Taghizade +7 more
wiley +1 more source
On fractional order differential equations model for nonlocal epidemics
A fractional order model for nonlocal epidemics is given. Stability of fractional order equations is studied. The results are expected to be relevant to foot-and-mouth disease, SARS and avian flu.
Ahmed, E., Elgazzar, A.S.
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Strain Engineering of Magnetoresistance and Magnetic Anisotropy in CrSBr
Biaxial compressive strain significantly enhances magnetoresistance and critical saturation fields in thin flakes of the 2D magnet CrSBr, along all three crystallographic axes. First‐principles calculations link these effects to strain‐induced increases in exchange interactions and magnetic anisotropy.
Eudomar Henríquez‐Guerra +19 more
wiley +1 more source
Functional differential equations with nonlocal initial conditions [PDF]
We study the existence, uniqueness, asymptotic properties, and continuous dependence upon data of solutions to a class of abstract nonlocal Cauchy problems. The approach we use is based on the theory of m‐accretive operators and related evolution equations in Banach spaces.
Aizicovici, Sergiu, Gao, Yun
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