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ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, ISSN 0044-2267, 08/2016, Volume 96, Issue 8, pp. 956 - 967
The method of dimensionality reduction (MDR) is extended to the axisymmetric frictionless unilateral Hertz‐type contact problem for a viscoelastic half‐space... 
Viscoelastic half‐space | contact problem | method of dimensionality reduction | Viscoelastic half-space | MATHEMATICS, APPLIED | CONTACT | MECHANICS | ARTICULAR-CARTILAGE | VIABILITY | Viscoelasticity | Axisymmetric | Reduction | Contact force | Indentation | Half spaces | Mathematical analysis | Indenters | Contact
Journal Article
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, ISSN 1364-5021, 01/2013, Volume 469, Issue 2149, pp. 20120462 - 20120462
This article revisits the classical problem of horizontal and vertical point loads suddenly applied onto the surface of a homogeneous, elastic half-space, and... 
Lamb's problem | Soil dynamics | Green's functions | Earthquake engineering | Seismology | Wave motion | wave motion | soil dynamics | MULTIDISCIPLINARY SCIENCES | seismology | SURFACE | earthquake engineering | PROPAGATION | Poles | Format | Horizontal | Half spaces | Dipoles | Mathematical analysis | Poissons ratio | Lamb
Journal Article
Inverse Problems, ISSN 0266-5611, 10/2010, Volume 26, Issue 10, pp. 105018 - 105018
The split feasibility problem (SFP) (Censor and Elfving 1994 Numer. Algorithms 8 221-39) is to find a point x* with the property that x* is an element of C and... 
PROJECTION | MATHEMATICS, APPLIED | LINEAR INVERSE PROBLEMS | SETS | CQ ALGORITHM | PHYSICS, MATHEMATICAL | OPERATORS | Algorithms | Half spaces | Inverse problems | Feasibility | Hilbert space | Iterative methods | Optimization | Convergence
Journal Article
Journal of the Mathematical Society of Japan, ISSN 0025-5645, 2012, Volume 64, Issue 2, pp. 561 - 626
In this paper, we proved the generalized resolvent estimate and the maximal L-p-L-q regularity of the Stokes equation with first order boundary condition in... 
Half space problem | Maximal regularity | Resolvent estimate | Surface tension | Gravity force | Stokes equation | SYSTEM | DOMAIN | SMALL-TIME EXISTENCE | EQUATIONS | maximal regularity | resolvent estimate | surface tension | SURFACE-TENSION | MATHEMATICS | WAVES | gravity force | INTERFACE | FOURIER MULTIPLIER THEOREMS | VISCOUS INCOMPRESSIBLE FLUIDS | half space problem
Journal Article
Applied Mathematical Modelling, ISSN 0307-904X, 01/2018, Volume 53, pp. 419 - 432
Journal Article
Computers and Geosciences, ISSN 0098-3004, 12/2013, Volume 61, pp. 144 - 151
We present explicit expressions for computing the displacements induced in a homogeneous, linearly elastic half-space by uniform vertical pressure applied over... 
Crustal deformation | Numerical techniques | Potential theory | Lithospheric deformation | EARTH | COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS | GEOSCIENCES, MULTIDISCIPLINARY | MASS | ELASTIC RESPONSE | DRIVEN | DEFORMATION | WATER | Simplification | Half spaces | Rectangles | Mathematical analysis | Mathematical models | Boundaries | Vectors (mathematics) | Flexibility
Journal Article
Journal of Mathematical Sciences, ISSN 1072-3374, 7/2019, Volume 240, Issue 2, pp. 184 - 193
We solve a contact problem of indentation of a punch into an elastic half space with regard for the friction and in the presence of the zones of adhesion,... 
Mathematics, general | Mathematics
Journal Article
European Journal of Mechanics / B Fluids, ISSN 0997-7546, 05/2017, Volume 63, pp. 106 - 112
We investigate the hydrodynamic limit of a vapor–noncondensable gas mixture in a pressure gradient between two walls. Earlier papers based on conventional... 
Discrete kinetic model | Macroscopic limit | Evaporation and condensation | HALF-SPACE PROBLEM | MIXTURE | PHYSICS, FLUIDS & PLASMAS | KINETIC BOUNDARY-LAYERS | CONTINUUM-LIMIT | PHASE | MECHANICS | MODELS | BOLTZMANN-EQUATION | VAPOR FLOWS
Journal Article
Journal Article
Mechanics of Materials, ISSN 0167-6636, 01/2013, Volume 56, pp. 65 - 70
► We consider the contact between a rigid sphere and an elastic half space with surface tension. ► Surface tension affects the pressure distribution on the... 
Sphere | Contact problem | Surface tension | MECHANICS | INTERFACE STRESS | NANO-INHOMOGENEITIES | MATERIALS SCIENCE, MULTIDISCIPLINARY | INDENTATION | SOLIDS | ELASTIC HALF-SPACE
Journal Article
Journal Article
International Journal of Solids and Structures, ISSN 0020-7683, 06/2012, Volume 49, Issue 13, pp. 1588 - 1594
In the present paper, we consider a two-dimensional contact problem of a rigid cylinder indenting on an elastic half space with surface tension. Based on the... 
Cylinder | Contact problem | Surface tension | Indentation | ELEMENTS | MECHANICS | INTERFACE STRESS | UNIDIRECTIONAL NANO-COMPOSITES | BEHAVIOR | SOLIDS | INHOMOGENEITIES | ELASTIC HALF-SPACE | Mechanical properties | Hardness | Elastic modulus | Contact pressure | Mathematical models | Contact stresses | Two dimensional | Contact | Cylinders
Journal Article
International Journal of Solids and Structures, ISSN 0020-7683, 08/2013, Volume 50, Issue 16-17, pp. 2620 - 2630
In the literature, it has been demonstrated that residual surface stress and surface elasticity are two equally important parts of surface stress theory and... 
Surface effect | Size dependence | Scaling law | Boussinesq problem | Contact mechanics | ENERGY | NANO-INHOMOGENEITIES | INDENTATION | DEPENDENT ELASTIC STATE | MECHANICS | INTERFACE STRESS | FILMS | SOLIDS | HALF-SPACE | STRAIN | NANOWIRES | Nanotechnology | Stresses | Boussinesq equations | Mathematical analysis | Elasticity | Mathematical models | Stiffness | Nanostructure | Contact
Journal Article
Applied Mathematical Modelling, ISSN 0307-904X, 02/2013, Volume 37, Issue 3, pp. 762 - 775
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 12/2017, Volume 263, Issue 11, pp. 7372 - 7411
In this paper, we consider the half space problem for Euler equations with damping in 3-D. We restudy the fundamental solution for the Cauchy problem to obtain... 
Half space problem | Pointwise structure | Green's function | Euler equations | Symbols in transformed domain | EXISTENCE | LARGE-TIME BEHAVIOR | P-SYSTEM | THROUGH POROUS-MEDIA | FLOW | ASYMPTOTIC-BEHAVIOR | MATHEMATICS | NONLINEAR DIFFUSION WAVES | BOUNDARY VALUE-PROBLEM | HYPERBOLIC CONSERVATION-LAWS | CONVERGENCE-RATES
Journal Article