Solution of the Boussinesq Problem in a Depth‐Dependent Nonhomogeneous Half‐Space
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DOI: 10.1002/mma.10964
Abstract: In this study, the Boussinesq problem is modeled using the half‐space model of the soil foundation to determine the collapse of the ground surface under a point load applied to the surface when the elastic… read more here.
Keywords: boussinesq; half space; solution; boussinesq problem ... See more keywords
An Explicit Factorization of the Green's Function for an Acoustic Half‐Space Problem with Impedance Boundary Conditions into an Oscillatory Exponential and a Slowly Varying Function
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DOI: 10.1002/mma.11064
Abstract: In this paper, new representations of the Green's function for an acoustic d$$ d $$ ‐dimensional half‐space problem with impedance boundary conditions are presented. The main features of the new representation are read more here.
Keywords: problem impedance; space problem; function acoustic; function ... See more keywords
Time‐periodic Stokes equations with inhomogeneous Dirichlet boundary conditions in a half‐space
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DOI: 10.1002/mma.6048
Abstract: The time‐periodic Stokes problem in a half‐space with fully inhomogeneous right‐hand side is investigated. Maximal regularity in a time‐periodic Lp setting is established. A method based on Fourier multipliers is employed that leads to a… read more here.
Keywords: time; half space; periodic stokes; stokes equations ... See more keywords
The Inviscid Limit of Navier–Stokes Equations for Analytic Data on the Half-Space
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DOI: 10.1007/s00205-018-1266-9
Abstract: In their classical work, Sammartino and Caflisch (Commun Math Phys 192(2):433–461, 1998a; Commun Math Phys 192(2):463–491, 1998b) proved the inviscid limit of the incompressible Navier–Stokes equations for well-prepared data with analytic regularity in the half-space.… read more here.
Keywords: inviscid limit; analytic data; stokes equations; limit ... See more keywords
Rigid cohomology of Drinfeld’s upper half space over a finite field
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DOI: 10.1007/s00209-017-1951-7
Abstract: In this paper the rigid cohomology of Drinfeld’s upper half space over a finite field is computed in two ways. The first method proceeds by computation of the rigid cohomology of the complement of Drinfeld’s… read more here.
Keywords: space; cohomology; half space; upper half ... See more keywords
Stein–Weiss type inequality on the upper half space and its applications
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DOI: 10.1007/s00209-023-03419-y
Abstract: In this paper, we establish some Stein–Weiss type inequalities with general kernels on the upper half space and study the extremal functions of the optimal constant. Furthermore, we also investigate the regularity, asymptotic estimates, symmetry… read more here.
Keywords: weiss type; type; stein weiss; upper half ... See more keywords
Stationary Half-Space Last Passage Percolation
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DOI: 10.1007/s00220-020-03712-5
Abstract: In this paper we study stationary last passage percolation with exponential weights and in half-space geometry. We determine the limiting distribution of the last passage time in a critical window close to the origin. The… read more here.
Keywords: last passage; space; half space; geometry ... See more keywords
Dynamic response of a circular inclusion embedded in inhomogeneous half-space
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DOI: 10.1007/s00419-018-1404-8
Abstract: Dynamic response of a shallow circular inclusion under incident SH wave in radially inhomogeneous half-space is researched by applying complex function theory and multipolar coordinate system. Considering that the mass density of the half-space varies… read more here.
Keywords: dynamic response; circular inclusion; inclusion; half space ... See more keywords
Dispersion and attenuation of torsional wave in a viscoelastic layer bonded between a layer and a half-space of dry sandy media
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DOI: 10.1007/s10483-017-2239-8
Abstract: Propagation of a torsional wave in a doubly-layered half-space structure of an initially stressed heterogeneous viscoelastic layer sandwiched between a layer and a half-space of heterogeneous dry sandy media is studied. A closed form complex… read more here.
Keywords: wave; dry sandy; half space; torsional wave ... See more keywords
Quasistatic Plane Problem of Thermoelasticity for the Half Space with Coating Under Mixed Conditions of Heating
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DOI: 10.1007/s10958-017-3344-1
Abstract: The Laguerre and Fourier integral transformations are used to construct the solution of a plane quasistatic problem of thermoelasticity for the half space with coating. The surface of the coating is heated by a heat… read more here.
Keywords: half space; space coating; problem thermoelasticity; thermoelasticity half ... See more keywords
Nonstationary Nonlinear Problems of Heat Conduction for a Half Space
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DOI: 10.1007/s10958-021-05444-w
Abstract: We propose a method for the determination of temperature fields in a half space with regard for the thermal radiation, temperature dependence of the thermal characteristics, densities of the surface and volume heat sources in… read more here.
Keywords: nonstationary nonlinear; problems heat; heat conduction; half space ... See more keywords