Cauchy problem for a class of nonlinear dispersive wave equations arising in elasto-plastic flow

Authors: Yang Zhijian

Source: Journal of Mathematical Analysis and Applications. 313:197-217

Subject Terms: Cauchy problem, decay estimates, Large-strain, rate-independent theories of plasticity (including nonlinear plasticity), Applied Mathematics, Global solution, Nonlinear wave equation, stability, 01 natural sciences, Blow-up in context of PDEs, Decay estimates, local solution, Blowup of solutions, global solution, 0101 mathematics, PDEs in connection with mechanics of deformable solids, Stability in context of PDEs, Regularity of solutions of dynamical problems in solid mechanics, Initial value problems for nonlinear higher-order PDEs, blow-up, Analysis

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Access URL: https://zbmath.org/2239435
https://doi.org/10.1016/j.jmaa.2005.04.086
https://ui.adsabs.harvard.edu/abs/2006JMAA..313..197Z/abstract
https://www.sciencedirect.com/science/article/pii/S0022247X05004609
https://core.ac.uk/display/82700438

Some geometrically nonlinear problems of deformation of inelastic plates and shallow shells

Authors: I. Yu. Tsvelodub

Source: Journal of Applied Mechanics and Technical Physics. 46:275-280

Subject Terms: 0203 mechanical engineering, Existence of solutions of dynamical problems in solid mechanics, 0103 physical sciences, uniqueness, iterative solution, 02 engineering and technology, Plates, Regularity of solutions of dynamical problems in solid mechanics, 01 natural sciences, Shells, continuous dependence on data, Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials)

File Description: application/xml

Access URL: https://zbmath.org/2167599
https://link.springer.com/article/10.1007/s10808-005-0054-0
https://ui.adsabs.harvard.edu/abs/2005JAMTP..46..275T/abstract

Solvability for a nonlinear coupled system of Kirchhoff type for the beam equations with nonlocal boundary conditions: Solvability for a nonlinear coupled system of {K}irchhoff type for the beam equations with nonlocal boundary conditions

Authors: Santos, M.L., Rocha, M.P.C., Pereira, D.C., Ferreira, J.

Source: Electronic Journal of Qualitative Theory of Differential Equations, Vol 2005, Iss 6, Pp 1-28 (2005)

Subject Terms: QA Mathematics / matematika, QA1-939, Other PDE from mechanics, asymptotic behavior, Rods (beams, columns, shafts, arches, rings, etc.), 0101 mathematics, Regularity of solutions of dynamical problems in solid mechanics, 01 natural sciences, Mathematics, Boundary value problems for nonlinear higher-order PDEs, nonlocal boundary condition, Kirchhoff beam

File Description: application/xml; text

Access URL: https://zbmath.org/2186158
https://doi.org/10.14232/ejqtde.2005.1.6
https://doaj.org/article/89e9ef7c6097447b86e4edb11b69899a
https://eudml.org/doc/126055
http://real.mtak.hu/22776/
http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=214
https://core.ac.uk/display/87535344

Regularity of solutions to a dynamic frictionless contact problem with normal compliance

Authors: Kenneth L. Kuttler, Meir Shillor

Source: Nonlinear Analysis: Theory, Methods & Applications. 59:1063-1075

Subject Terms: viscoelastic body, reactive foundation, 0101 mathematics, Contact in solid mechanics, Regularity of solutions of dynamical problems in solid mechanics, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/2137247
https://doi.org/10.1016/j.na.2004.07.049
https://www.sciencedirect.com/science/article/abs/pii/S0362546X04003177#!
https://www.sciencedirect.com/science/article/pii/S0362546X04003177

Weak solutions for time‐dependent boundary integral equations associated with the bending of elastic plates under combined boundary data: Weak solutions for time-dependent boundary integral equations associated with the bending of elastic plates under combined boundary data

Authors: Igor Chudinovich, Eduardo Aguilera Gomez, Christian Constanda

Source: Mathematical Methods in the Applied Sciences. 27:769-780

Subject Terms: Existence of solutions of dynamical problems in solid mechanics, dynamic problems, Uniqueness of solutions of dynamical problems in solid mechanics, boundary integral equations, elastic plates, 0101 mathematics, Plates, Regularity of solutions of dynamical problems in solid mechanics, 01 natural sciences

File Description: application/xml

Access URL: https://zbmath.org/2085661
https://doi.org/10.1002/mma.468
https://ui.adsabs.harvard.edu/abs/2004MMAS...27..769C/abstract
https://onlinelibrary.wiley.com/doi/pdf/10.1002/mma.468

Reissner‐Mindlin plate theory for elastodynamics: Reissner-Mindlin plate theory for elastodynamics

Authors: Wu, Shen Rong

Source: Journal of Applied Mathematics, Vol 2004, Iss 3, Pp 179-189 (2004)
J. Appl. Math. 2004, no. 3 (2004), 179-189

Subject Terms: mass scaling, regularity, existence, Uniqueness of solutions of dynamical problems in solid mechanics, uniqueness, Other PDE from mechanics, 02 engineering and technology, 74H20, 74K20, 0201 civil engineering, 74H30, Existence of solutions of dynamical problems in solid mechanics, 35Q72, QA1-939, Plates, 0210 nano-technology, Regularity of solutions of dynamical problems in solid mechanics, Mathematics

File Description: application/xml; application/pdf

Access URL: https://downloads.hindawi.com/journals/jam/2004/972793.pdf
https://zbmath.org/2220761
https://doi.org/10.1155/s1110757x04401090
https://doaj.org/article/d005caf2ad164c74972c50b810b0c245
https://downloads.hindawi.com/journals/jam/2004/972793.pdf
https://projecteuclid.org/journals/journal-of-applied-mathematics/volume-2004/issue-3/Reissner-Mindlin-plate-theory-for-elastodynamics/10.1155/S1110757X04401090.full
http://downloads.hindawi.com/journals/jam/2004/972793.pdf
http://www.emis.de/journals/HOA/JAM/2004/3179.pdf
https://www.hindawi.com/journals/jam/2004/972793/
https://projecteuclid.org/download/pdfview_1/euclid.jam/1091626397
http://projecteuclid.org/euclid.jam/1091626397

Dynamic frictionless contact with adhesion

Authors: Mircea Sofonea, Oanh Chau, Meir Shillor

Source: Zeitschrift f�r Angewandte Mathematik und Physik (ZAMP). 55:32-47

Subject Terms: fixed point, Existence of solutions of dynamical problems in solid mechanics, existence, Uniqueness of solutions of dynamical problems in solid mechanics, unique weak solution, 0101 mathematics, Contact in solid mechanics, Regularity of solutions of dynamical problems in solid mechanics, 01 natural sciences

File Description: application/xml

Access URL: https://link.springer.com/article/10.1007/s00033-003-1089-9
http://ui.adsabs.harvard.edu/abs/2004ZaMP...55...32C/abstract

Numerical studies of viscous incompressible flow between two rotating concentric spheres

Authors: Ifidon, E. O.

Source: Journal of Applied Mathematics, Vol 2004, Iss 2, Pp 91-106 (2004)
J. Appl. Math. 2004, no. 2 (2004), 91-106

Subject Terms: 14H30, 40A05, Navier-Stokes equations for incompressible viscous fluids, 0103 physical sciences, QA1-939, 76M20, Regularity of solutions of dynamical problems in solid mechanics, 01 natural sciences, Mathematics, Finite difference methods applied to problems in fluid mechanics, 76D05

File Description: application/xml; application/pdf

Access URL: http://downloads.hindawi.com/journals/jam/2004/852162.pdf
https://doaj.org/article/bb51ffffee1e45e9a251fac97bf9c836
https://www.hindawi.com/journals/jam/2004/852162/
https://projecteuclid.org/euclid.jam/1089229334
https://projecteuclid.org/download/pdfview_1/euclid.jam/1089229334
http://www.emis.de/journals/HOA/JAM/2004/291.pdf
http://downloads.hindawi.com/journals/jam/2004/852162.pdf
http://projecteuclid.org/euclid.jam/1089229334

On the effect of dissipation in shape-memory alloys

Authors: Kumbakonam R. Rajagopal, Tomáš Roubíček

Source: Nonlinear Analysis: Real World Applications. 4:581-597

Subject Terms: capillarity, regularity, shape memory alloy, Other PDE from mechanics, phenomenological rate-independent plasticity-type dissipation, 01 natural sciences, Dynamics of phase boundaries in solids, vanishing dissipative effects, martensitic phase transformation, viscosity, 0101 mathematics, Plastic materials, materials of stress-rate and internal-variable type, Regularity of solutions of dynamical problems in solid mechanics, Crystals in solids

File Description: application/xml

Access URL: https://www.sciencedirect.com/science/article/abs/pii/S1468121802000792

Dynamics of a Rod Made of Generalized Kelvin–Voigt Visco-elastic Material: Dynamics of a rod made of generalized Kelvin-Voigt viscoelastic material

Authors: Bogoljub Stanković, Teodor M. Atanackovic

Source: Journal of Mathematical Analysis and Applications. 268:550-563

Subject Terms: Applied Mathematics, existence, 02 engineering and technology, 01 natural sciences, Vibrations in dynamical problems in solid mechanics, 0203 mechanical engineering, Existence of solutions of dynamical problems in solid mechanics, 0103 physical sciences, fractional derivative differential equation, Linear constitutive equations for materials with memory, Rods (beams, columns, shafts, arches, rings, etc.), lateral vibration, Regularity of solutions of dynamical problems in solid mechanics, Analysis

File Description: application/xml

Access URL: https://zbmath.org/1763474
https://doi.org/10.1006/jmaa.2001.7816
https://www.sciencedirect.com/science/article/pii/S0022247X01978163
https://www.sciencedirect.com/science/article/abs/pii/S0022247X01978163
https://core.ac.uk/display/82198282

Oscillations in Cable-Stayed Bridges: Existence, Uniqueness, and Homogenization of Cable Systems: Oscillations in cable-stayed bridges: existence, uniqueness, and homogenization of cable systems

Authors: Josef Malík

Source: Journal of Mathematical Analysis and Applications. 266:100-126

Subject Terms: Variational methods applied to PDEs, Vibrations in dynamical problems in solid mechanics, Applied Mathematics, Other PDE from mechanics, 0101 mathematics, Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs, Homogenization and oscillations in dynamical problems of solid mechanics, Regularity of solutions of dynamical problems in solid mechanics, 01 natural sciences, Analysis

File Description: application/xml

Access URL: https://www.sciencedirect.com/science/article/pii/S0022247X01977133
https://core.ac.uk/display/81954971

Vibration of a pre-constrained elastic thin shell I: Modeling and regularity of the solutions: Vibration of a pre-constrained elastic thin shell. I: Modeling and regularity of the solutions

Authors: John Cagnol, Jean-Paul Zolésio

Source: Comptes Rendus. Mathématique. 334:161-166

Subject Terms: pre-constrained elastic thin shell, existence, large displacement, 01 natural sciences, Shells, hyperbolic equations, boundary regularity, Vibrations in dynamical problems in solid mechanics, Existence of solutions of dynamical problems in solid mechanics, 0103 physical sciences, shape differentiation, interior regularity, vibration, 0101 mathematics, Regularity of solutions of dynamical problems in solid mechanics, small deformation

File Description: application/xml

Access URL: https://zbmath.org/1744372
https://doi.org/10.1016/s1631-073x(02)02182-9
https://www.sciencedirect.com/science/article/pii/S1631073X02021829

The dynamical Lame system: regularity of solutions, boundary controllability and boundary data continuation: The dynamical Lamé system: regularity of solutions, boundary controllability and boundary data continuation.

Authors: I. Lasiecka, Mikhail I. Belishev

Source: ESAIM: Control, Optimisation and Calculus of Variations. 8:143-167

Subject Terms: Control problems for functional-differential equations, Controllability, Control/observation systems governed by partial differential equations, isotropic elasticity, regularity of solutions, structure of sets reachable from the boundary in a short time, Smoothness and regularity of solutions to PDEs, boundary controllability, Control, switches and devices (''smart materials') in solid mechanics, 01 natural sciences, Classical linear elasticity, 0101 mathematics, Regularity of solutions of dynamical problems in solid mechanics, dynamical Lame system

File Description: application/xml

Access URL: https://www.esaim-cocv.org/articles/cocv/pdf/2002/02/Belishev.pdf
http://www.esaim-cocv.org/articles/cocv/ref/2002/02/Belishev/Belishev.html
https://www.esaim-cocv.org/articles/cocv/abs/2002/02/Belishev/Belishev.html
https://eudml.org/doc/90643
http://www.numdam.org/item/10.1051/cocv:2002058.pdf
http://www.numdam.org/item/COCV_2002__8__143_0/
https://www.esaim-cocv.org/articles/cocv/pdf/2002/02/Belishev.pdf

Boundary integral method for thermoelastic screen scattering problem in ℝ3: Boundary integral method for thermoelastic screen scattering problem in \(\mathbb{R}^3\)

Authors: Fioralba Cakoni

Source: Mathematical Methods in the Applied Sciences. 23:441-466

Subject Terms: Wave scattering in solid mechanics, regularity, singular behaviour of solution, existence, Uniqueness of solutions of dynamical problems in solid mechanics, uniqueness, weak solution, three-dimensional thermoelastic scattering problem, calculus of pseudodifferential operators, Wiener-Hopf method, integral equations of first kind, improved Galerkin scheme, Thermal effects in solid mechanics, strong ellipticity, Gårding's inequality, Existence of solutions of dynamical problems in solid mechanics, Sobolev spaces, Regularity of solutions of dynamical problems in solid mechanics, Boundary element methods applied to problems in solid mechanics

File Description: application/xml

Access URL: https://zbmath.org/1437127
https://doi.org/10.1002/(sici)1099-1476(20000325)23:5<441::aid-mma123>3.0.co;2-u
http://ui.adsabs.harvard.edu/abs/2000MMAS...23..441C/abstract
https://www.researchwithrutgers.com/en/publications/boundary-integral-method-for-thermoelastic-screen-scattering-prob

A sharp trace result on a thermo-elastic plate equation with coupled hinged/Neumann boundary conditions

Authors: Irena Lasiecka, Roberto Triggiani

Source: Discrete & Continuous Dynamical Systems - A. 5:585-598

Subject Terms: Thermal effects in solid mechanics, sharp trace regularity, thermo-elastic plate equations, hidden regularity, Other PDE from mechanics, hinged/Neumann boundary conditions, 0101 mathematics, Plates, Regularity of solutions of dynamical problems in solid mechanics, 01 natural sciences, energy methods

File Description: application/xml

Access URL: https://www.aimsciences.org/article/doi/10.3934/dcds.1999.5.585

ON A FLUID-STRUCTURE INTERACTION PROBLEM IN VELOCITY-DISPLACEMENT FORMULATION: On a fluid-structure interaction problem in velocity-displacement formulation

Authors: Pierre Orenga, Fabien Flori

Source: Mathematical Models and Methods in Applied Sciences. :543-572

Subject Terms: regularity, biharmonic plate equation, existence, fluid-structure interaction, fluid velocity-structure displacement formulation, Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics, 01 natural sciences, Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.), Existence of solutions of dynamical problems in solid mechanics, coupling condition, weak solutions, Navier-Stokes equations, 0101 mathematics, Regularity of solutions of dynamical problems in solid mechanics, viscous compressible fluid

File Description: application/xml

Access URL: http://www.worldscientific.com/doi/abs/10.1142/S0218202598000251?queryID=%24%7BresultBean.queryID%7D

General Transmission Problems in the Theory of Elastic Oscillations of Anisotropic Bodies (Basic Interface Problems): General transmission problems in the theory of elastic oscillations of anisotropic bodies (basic interface problems)

Authors: Wolfgang L. Wendland, David Natroshvili, Lothar Jentsch

Source: Journal of Mathematical Analysis and Applications. 220:397-433

Subject Terms: regularity, Hölder continuity, Applied Mathematics, pseudodifferential equations on manifolds, existence, Uniqueness of solutions of dynamical problems in solid mechanics, uniqueness, Other PDE from mechanics, mixed boundary value problems, 01 natural sciences, generalized Sommerfeld-Kupradze radiation conditions, pseudodifferential equations, Vibrations in dynamical problems in solid mechanics, Existence of solutions of dynamical problems in solid mechanics, Anisotropy in solid mechanics, oscillation parameter, 0101 mathematics, Regularity of solutions of dynamical problems in solid mechanics, Analysis

File Description: application/xml

Access URL: https://zbmath.org/1218570
https://doi.org/10.1006/jmaa.1997.5764
https://www.sciencedirect.com/science/article/abs/pii/S0022247X99963606
https://www.infona.pl/resource/bwmeta1.element.elsevier-0062584a-ae74-3ced-b152-7bffc1d9dd1d
https://core.ac.uk/display/81213018
https://www.sciencedirect.com/science/article/pii/S0022247X97957644#!
https://www.sciencedirect.com/science/article/pii/S0022247X97957644

The Factorization of the Flow, Defined by the Euler-Poisson’s Equations: The factorization of the flow defined by the Euler-Poisson equations

Authors: Alexandr Belyaev

Source: Modern Analysis and Applications ISBN: 9783764399207

Subject Terms: Singularities, monodromy and local behavior of solutions to ordinary differential equations in the complex domain, normal forms, Fiberings with singularities in algebraic topology, compactification, holomorphic foiliation, Euler-Poisson equations, Regularity of solutions of dynamical problems in solid mechanics

File Description: application/xml

Access URL: https://zbmath.org/1733182
https://rd.springer.com/chapter/10.1007/978-3-7643-9921-4_15
https://link.springer.com/chapter/10.1007%2F978-3-7643-9921-4_15

LOCAL IN TIME EXISTENCE OF SOLUTION TO THE DIRICHLET INITIAL-BOUNDARY VALUE PROBLEM IN NONLINEAR HYPOELASTICITY: Local in time existence of solution to the Dirichlet initial-boundary value problem in nonlinear hypoelsticity

Authors: Arkadiusz Szymaniec, Adam Piskorek

Source: Demonstratio Mathematica. 33

Subject Terms: strictly hyperbolic diagonalizable system, Existence of solutions of dynamical problems in solid mechanics, Uniqueness of solutions of dynamical problems in solid mechanics, Initial-boundary value problems for first-order hyperbolic systems, 0101 mathematics, Local existence and uniqueness theorems (PDE), Regularity of solutions of dynamical problems in solid mechanics, 01 natural sciences, First-order nonlinear hyperbolic equations

File Description: application/xml

Access URL: https://zbmath.org/1545134
https://doi.org/10.1515/dema-2000-0308
http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.baztech-article-PWA1-0030-0007

Analyticity of thermo-elastic semigroups with free boundary conditions

Authors: Lasiecka, Irena, Triggiani, Roberto

Subject Terms: free coupled boundary conditions, thermo-elastic plate system, Thermal effects in solid mechanics, One-parameter semigroups and linear evolution equations, semi-continuous contraction semigroup, Free boundary problems for PDEs, energy space, Other PDE from mechanics, uniform stability, Long-time behavior of solutions for dynamical problems in solid mechanics, Plates, analyticity, Regularity of solutions of dynamical problems in solid mechanics

File Description: application/xml

Access URL: https://zbmath.org/1381073