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Negative Intrinsic Viscosity in Graphene Nanoparticle Suspensions Induced by Hydrodynamic Slip. [PDF]
Agrawal A, Kamal C, Gravelle S, Botto L.
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A plastic analysis of Griffith crack problem in 1D hexagonal piezoelectric quasicrystals. [PDF]
Zhang J, Liu G, Liao H.
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A novel phased-array thermography concept for non-destructive testing. [PDF]
Martinelli C, Meo M.
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The Wafold: Curvature-Driven Termination and Dimensional Compression in Black Holes. [PDF]
ViaƱa J.
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Boundary Conditions for Multidimensional Integrable Equations
Functional Analysis and Its Applications, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Khabibullin, I. T., Gudkova, E. V.
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Boundary conditions for integrable lattices
Functional Analysis and Its Applications, 1997The boundary condition \(w_0= F(x,w_1,\dots, w_m)\) reduces the chain \(w_{j,x}= h(x,w_{j-1} w_j, w_{j+1})\) to a problem on the half-line. In the paper a finite-dimensional system is considered with two boundary conditions \[ w_0= F(x, w_1,\dots, w_m),\;w_{N+1}= G(X, w_{N- m},\dots, w_N).
Adler, V. E., Habibullin, I. T.
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Boundary Conditions from Path Integrals
Physical Review Letters, 1988A particle moving in two dimensions in a repulsive ${r}^{\ensuremath{-}2}$ potential, and in the presence of a magnetic flux line, is examined as an example of a system for which the Schr\"odinger Hamiltonian is not essentially self-adjoint. The path-integral propagator is, nevertheless, shown to exist, and to define a unique self-adjoint extension of ...
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Fractional boundary value problems with integral boundary conditions
Applicable Analysis, 2013In this article, we study a type of nonlinear fractional boundary value problem with integral boundary conditions. By constructing an associated Green's function, applying spectral theory and using fixed point theory on cones, we obtain criteria for the existence, multiplicity and nonexistence of positive solutions.
John R. Graef +3 more
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Boundary conditions for integrable discrete chains
Journal of Physics A: Mathematical and General, 2001It is known since the works of Birkhoff that (simple) recurrences (finite difference equations) of one integer index define a larger class of functions than the analogous ordinary differential equations (ODEs). Birkhoff has shown that the sequence of transformations from an integer index to a rational, and a fortiori to a continuous one is generally ...
Habibullin, I. T., Kazakova, T. G.
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Boundary conditions for integrable chains
Physics Letters A, 1995Abstract The quasi-periodicity and deeper reductions and boundary conditions compatible with the integrability property are discussed for the Volterra, the nonlinear Schrodinger and Toda lattices.
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