Periodic Boundary Condition
Attractor bifurcation for the extended Fisher-Kolmogorov equation with periodic boundary condition
... In this paper, we study the bifurcation and stability of solutions of the extended Fisher-Kolmogorov equation with periodic boundary condition. We prove that the system bifurcates from the trivial ...
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Existence of solutions for impulsive fractional evolution equations with periodic boundary condition
... This paper discusses the existence of mild solutions for a class of fractional impulsive evolution equation with periodic boundary condition and noncompact semigroup. By using some fixed point ...
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Prediction of elastic properties for unidirectional carbon composites: periodic boundary condition approach
... using periodic boundary condition ...composites. Periodic boundary condition was used due to its capability to represent a single unit cell similar to the neighbouring unit cells ...
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Continuous dependence on data for a solution of the quasilinear parabolic equation with a periodic boundary condition
... In this study we prove the continuous dependence of the solution u = u(x, t) upon the data ϕ(x) and f (x, t, u). In [], a similar iteration method is used with this kind of a local boundary condition for a ...
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Blowing up solutions of multi order fractional differential equations with the periodic boundary condition
... The idea of derivatives of noninteger order initially appeared in the letter from Leib- nizs to L’Hospital in . For many years, studies of the theory of fractional order were mainly constrained to the field of pure ...
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Attractor bifurcation for FKPP type equation with periodic boundary condition
... As a result, we show the sys- tem bifurcates from the trivial solution to an attractor ∑ l as system parameter l crosses the critical value a , the first eigenvalue of the eigenvalue pro[r] ...
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A Temperature Total Fourier Series Solution For a Hollow Sphere
... There are several heat conduction problems that can be modeled by a sphere of constant properties, for example, food freezing and the hydrocooling of spherical fruits or vegetables [1]. The solution of some cases of heat ...
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On convergence of the immersed boundary method for elliptic interface problems
... norm. But almost no rigorous proof could be found in the literature until recently [14] in which the author showed that the velocity is indeed first order accurate for the Stokes equations with a periodic ...
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Efficient Simulations of Periodic Structures with Oblique Incidence Using Direct Spectral FDTD Method
... and periodic boundary condition (PBC), called as the direct spectral FDTD method, has been investigated to study three-dimensional (3D) periodic structures with oblique incidence, where both ...
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An Algorithm based on Predicting the Interface in Phase Change Materials
... moving boundary, its velocity and the temperature distribution within the domain are important for these ...of boundary condition; also it can be easily extended for 2D and 3D Stephan problems using ...
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Weakly periodic boundary conditions for the homogenization of flow in porous media
... classical boundary conditions that satisfy macrohomogeneity: Dirichlet, Neumann and ...Neumann boundary conditions are given in ...the periodic boundary condition performs better than ...
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Numerical Study of Two Problems in Fluid Flow: Cavitation and Cerebral Circulation
... a periodic inflow function made up of a half sine wave with duration ...external boundary conditions they use a three-element windkessel condition which takes into account the resistance and ...
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Periodic boundary value problems on time scales
... the condition | ν(a) | ≥ µ(b), where ν(t) : = t − ρ(t) and in the proof of the existence of monotone sequences she adds a Lipschitz condition on the right-hand side f ...Lipschitz condition with the ...
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A Large Strains Finite Element Multiscale Approach
... under periodic deformation and antiperiodic traction on the boundary of RVE ...Taylor boundary condition ...and periodic bcs in terms of accurateness and in terms of ...
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Solvability of a fourth order boundary value problem with periodic boundary conditions
... INTRODUCTION Fourth order boundary value problems arise in the study of the equilibrium of an.. elastic beam under an external load, e.g., see.[r] ...
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Boundary integral equations with the generalized Neumann kernel for laplace's equations in multiply connected regions
... Since the integral equations (26), (59) and (60) are uniquely solvable, then for sufficiently large number of collocation points on each boundary component, the linear system (78) is also uniquely solvable [3]. The ...
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Global Existence of Solutions of the Gierer Meinhardt System with Mixed Boundary Conditions
... Robin boundary conditions and Neumann boundary conditions on the activator and inhibitor ...mixed boundary conditions using a priori estimates of ...
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Periodic Problem with a Potential Landesman Lazer Condition
... the periodic nonlinear second-order ordinary differential equation with damping u x r xu x gx, ux fx, u0 uT, u 0 u T ...Lazer condition and prove that a critical point of a corresponding energy functional is ...
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Multi-parameter, impulsive effects and positive periodic solutions of first-order functional differential equations
... positive periodic solutions for problem ...positive periodic solution on the parameter for problem ...positive periodic solutions for problem ...positive periodic solutions and the dependence ...
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General Periodic Boundary Value Problem for Systems
... Palamides generalize earlier conditions of Bebernes and Schmitt [2] for periodic case. Erbe and Schmitt [3] ex- tend the results in [1] established the sufficient condi- tions for existence solution of the systems ...
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