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Dual field magnetic separation for improved size fractionation of magnetic nanoparticles.
Wolfschwenger M +3 more
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Increasing Cathode Potential of Homogeneous Low Voltage Electron Beam Irradiation (HLEBI) to Increase Impact Strength of Carbon Fiber Reinforced Polycarbonate and Characterization by XPS C1s and O1s Peaks. [PDF]
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Inhomogeneous additive equations
International Journal of Number Theory, 2022In this paper, we study the function [Formula: see text], which we define as the smallest number [Formula: see text] of variables needed to guarantee that the equation [Formula: see text] has nontrivial solutions in each of the [Formula: see text]-adic fields [Formula: see text], regardless of the rational integer coefficients.
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Inhomogeneous refinement equations
The Journal of Fourier Analysis and Applications, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Strang, Gilbert, Zhou, Ding-Xuan
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Critical inhomogeneous coupled Schrödinger equations
Journal of Mathematical Physics, 2023This work develops a local theory of the inhomogeneous coupled Schrödinger equations iu̇j+Δuj=σ|x|−γ∑1≤k≤majk|uk|p|uj|p−2uj,j∈[1,m]. Here, one treats the critical Sobolev regime u(0,⋅)∈[Hsc(RN)]m, where sc≔N2−2−γ2(p−1) is the index of the invariant Sobolev norm under the dilatation ‖λ2−γ2(p−1)u(λ2t,λ⋅)‖Ḣsc=λμ−N2+2−γ2(p−1)‖u(λ2t)‖Ḣsc.
Tarek Saanouni, Radhia Ghanmi
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Inhomogeneous Timoshenko beam equations
Mathematical Methods in the Applied Sciences, 1992AbstractThe so‐called Timoshenko beam equation is a good linear model for the transverse vibrations of a homogeneous beam. Following the variational approach of Washizu, the governing equation is deduced in the case when the physical/geometrical parameters of the beam vary along its axis.
AROSIO, Alberto Giorgio +2 more
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Nonlinear Maxwell Equations in Inhomogeneous Media
Communications in Mathematical Physics, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Babin, Anatoli, Figotin, Alexander
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Inhomogeneous thermal conduction equations
Canadian Journal of Physics, 1978The method of self-similar solution of partial differential equations is applied to the one-, two-, and three-dimensional inhomogeneous thermal conduction equations with the thermometric conductivities χ ~ rmWn. Analytical solutions are obtained for the case that the total amount of heat is conserved.
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Inhomogeneous Systems of Equations
1983Let aij, 1 ≤ i ≤ k, 1 ≤ j ≤ n be a set of constants, and fix k constants u1,u2,...,ukThe system $$\left\{ \begin{gathered} {a_{11}}{x_1} + {a_{12}}{x_2} + \cdots + {a_{1n}}{x_n} = {u_1}, \hfill \\ {a_{21}}{x_1} + {a_{22}}{x_2} + \cdots + {a_{2n}}{x_n} = {u_2}, \hfill \\ \vdots \hfill \\ {a_{k1}}{x_1} + {a_{k2}}{x_2} + \cdots + {a_{kn}}{x_n} = {u_k},
Thomas Banchoff, John Wermer
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An Inhomogeneous Picard-Fuchs Equation
1994In the study of singularities of vector fields on the plane the analysis of perturbations of Hamiltonian systems is crucial. The number of isolated limit cycles in the perturbed system is related to the number of zeros of periods (Abelian integrals). If the Hamiltonian function is algebraic, then the there are finitely many independent periods.
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