On a Cubic-Quintic Ginzburg-Landau Equation with Global Coupling [PDF]
We study standing wave solutions in a Ginzburg-Landau equation which consists of a cubic-quintic equation stabilized by global coupling A_t= \Delta A +\mu A + c A^3 -A^5 -k A (\int_{R^n} A^2\,dx).
Winter, M, Wei, J
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Finite element heterogeneous multiscale methods for the wave equation [PDF]
Wave phenomena appear in a wide range of applications such as full-waveform seismic inversion, medical imaging, or composite materials. Often, they are modeled by the acoustic wave equation.
Stohrer, Christian
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Series Solution of System of Fractional Order Ambartsumian Equations: Application in Astronomy
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Nonlocal Strain Gradient Model for the Nonlinear Static Analysis of a Circular/Annular Nanoplate. [PDF]
Sadeghian M, Palevicius A, Janusas G.
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In this paper, we prove the existence and uniqueness of solution for the mixed boundary value problem of Ambartsumian equation using -Hilfer generalized proportional fractional derivative(PFD). The main principles applied to investigate our results are based on the standard fixed point theorems.
S. Manikandan +3 more
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Nonlinear Thermal/Mechanical Buckling of Orthotropic Annular/Circular Nanoplate with the Nonlocal Strain Gradient Model. [PDF]
Sadeghian M, Palevicius A, Janusas G.
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A rigorous derivation of Smoluchowski's equation in the moderate limit [PDF]
Smoluchowski’s equation is a macroscopic description of a many particle system with coagulation and shattering interactions. We give a microscopic model of the system from which we derive this equation rigorously.
Klingenberg, C. +2 more
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Buckling Behavior of Sandwich Cylindrical Shells Covered by Functionally Graded Coatings with Clamped Boundary Conditions under Hydrostatic Pressure. [PDF]
Sofiyev AH, Fantuzzi N, Ipek C, Tekin G.
europepmc +1 more source
Stability Analysis of Shear Deformable Inhomogeneous Nanocomposite Cylindrical Shells under Hydrostatic Pressure in Thermal Environment. [PDF]
Sofiyev AH, Fantuzzi N.
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The Ambartsumian equation arises in astronomy and is used in the theory of surface brightness in the Milky Way. In this manuscript, we consider a new category of Ambartsumian-type Mathieu fractional differential systems involving the Φ-Hilfer fractional derivative.
R. Vivek, R. George
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