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It has been shown in many previous studies [4, 27] that certain spatial interactions may destabilize spatially constant stationary states subject to the nonlinear gain function S = H ( u − θ ).
The support for this modification came from the argument made in [14], that a non-uniform Gaussian can act as a solution of the Anisotropic Gaussian scale-space as long as the diffusion matrix is spatially constant, i.e., it does not depend on (x,y) spatial location.
These last simulations with a variable accretion rate consider that the sediment concentrations for saltmarsh and mangrove are different from each other but spatially constant within each vegetation type.
These integrals are demonstrated to reduce to the conventional HLL flux through simplification by assuming spatially constant conserved properties.
Conditions for spatially constant non-local currents are derived and we explore two types of locally symmetric subsystems in detail, closed-loops and one-dimensional open ended chains.
Spatially constant, linear scaling factors were used to link point-scale water surplus to streamflow and gross soil loss to hillslope erosion.
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Model configurations with spatially-constant or regionalised HSDR were calibrated against sediment yield measured at five gauging stations.
However, the species in Figure 1 are characterized by largely overlapping preferential soil elevation intervals, justifying the simplifying assumption of spatially-constant parameters (see Methods and Materials S1 for details).
The detector response is modelled to be spatially invariant at a constant distance from the detector.
For a spatially invariant and straight track, the dynamic response to constant axle loading at a constant velocity is stationary in a convective reference system.
Spatially tailored constant strengths were obtained, ranging between 148 MPa and 470 MPa; the maximum value corresponding to a 'shallow' region with a relatively thicker AMZ compressive layer embedded close to the tensile ATZ surface.
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CEO of Professional Science Editing for Scientists @ prosciediting.com