Found 229 Documents (Results 1–100)
Well-posed solvability of Volterra integro-differential equations arising in viscoelasticity theory. (English. Russian original) Zbl 07891413
Differ. Equ. 60, No. 4, 504-521 (2024); translation from Differ. Uravn. 60, No. 4, 533-549 (2024).
A hybrid stress finite element method for integro-differential equations modelling dynamic fractional order viscoelasticity. (English) Zbl 07874380
Approximation and existence of a viscoelastic phase-field model for tumour growth in two and three dimensions. (English) Zbl 1539.92035
Exponential growth of solutions with \(L_p\)-norm of a nonlinear viscoelastic wave equation with strong damping and source and delay terms. (English) Zbl 07897335
Existence and uniqueness of solutions for nonlinear viscoelastic plate equation with \(\overrightarrow{p}(x,t)\)-Laplacian operator and delay. (English) Zbl 1537.35226
Melliani, Said (ed.) et al., Recent advances in fuzzy sets theory, fractional calculus, dynamic systems and optimization. Contributions based on the presentations at the international conference on partial differential equations and applications, modeling and simulation, Beni Mellal, Morocco, from June 1–2, 2021. Cham: Springer. Lect. Notes Netw. Syst. 476, 66-78 (2023).
Dynamical contact problems for a viscoelastic half-space with an elastic inclusion. (English) Zbl 1532.74085
General decay results for a viscoelastic Euler-Bernoulli equation with logarithmic nonlinearity source and a nonlinear boundary feedback. (English) Zbl 1514.35041
Decay properties for the Cauchy problem of the linear JMGT-viscoelastic plate with heat conduction. (English) Zbl 1512.35094
The problem of determining kernels in a two-dimensional system of viscoelasticity equations. (Russian. English summary) Zbl 1509.35303
On the influence of time-dependent behaviour of elastomeric wave energy harvesting membranes using experimental and numerical modelling techniques. (English) Zbl 1514.74036
The construction of solutions for some model problem classes with resolvent equations of a fractional order. (Russian. English summary) Zbl 1542.35421
On a method for solving an equation of vibrations of a viscous-elastic beam. (English) Zbl 1538.74067
A global solvability of a two-dimensional kernel determination problem for a viscoelasticity equation. (English) Zbl 1529.35580
Solution of the integro-differential equation of viscoelasticity in a bounded domain. (English) Zbl 1524.35354
2D kernel identification problem in viscoelasticity equation with a weakly horizontal homogeneity. (Russian. English summary) Zbl 1511.35382
Sib. Zh. Ind. Mat. 25, No. 1, 14-38 (2022); translation in J. Appl. Ind. Math. 16, No. 1, 8-21 (2022).
On the long time behavior of a viscoelastic plate equation with a velocity-dependent material density and a logarithmic nonlinearity. (English) Zbl 1505.35035
A new conservative finite difference scheme for 1D Cahn-Hilliard equation coupled with elasticity. (English) Zbl 1506.65130
Boundary feedback stabilization of a critical nonlinear JMGT equation with Neumann-undissipated part of the boundary. (English) Zbl 1500.35032
A thermodynamical conform for the curing coupling in elastomer at large strains. (Russian. English summary) Zbl 1500.74051
Well-posedness of a random coefficient damage mechanics model. (English) Zbl 1501.35392
Reviewer: Fabrizio Davì (Ancona)
Boundary stabilization of the linear MGT equation with partially absorbing boundary data and degenerate viscoelasticity. (English) Zbl 1491.35287
Thermo-viscoelastic interaction under dual-phase-lag model with memory-dependent derivative. (English) Zbl 1492.74022
Modeling of memory dependent derivative under three-phase lag in generalized thermo-viscoelasticity. (English) Zbl 1487.74029
Spectra of Gurtin-Pipkin type of integro-differential equations and applications to waves in graded viscoelastic structures. (English) Zbl 1514.47116
Reviewer: Rodica Luca (Iaşi)
Dissipative solutions to a system for the flow of magnetoviscoelastic materials. (English) Zbl 1454.35286
The problem of determining the two-dimensional kernel of a viscoelasticity equation. (Russian. English summary) Zbl 1503.45008
Sib. Zh. Ind. Mat. 23, No. 1, 28-45 (2020); translation in J. Appl. Ind. Math. 14, No. 1, 20-36 (2020).
Complex representation in the plane theory of viscoelasticity and its applications. (English) Zbl 1477.74011
Dynamical contact problems with regard to friction of couple-stress viscoelasticity for inhomogeneous anisotropic bodies. (English) Zbl 1455.35115
Global attractor for a viscoelastic plate equation with time-varying delay. (Chinese. English summary) Zbl 1463.35106
Effect of the heterogeneity, initial stress and viscosity on the propagation characteristics of shear wave. (English) Zbl 1445.74031
Manna, Santanu (ed.) et al., Mathematical modelling and scientific computing with applications. Proceedings of the international conference, ICMMSC 2018, Indore, India, July 19–21, 2018. Singapore: Springer. Springer Proc. Math. Stat. 308, 137-148 (2020).
A fractional nonlocal time-space viscoelasticity theory and its applications in structural dynamics. (English) Zbl 1481.74099
Blow-up of solution for quasilinear viscoelastic wave equation with boundary nonlinear damping and source terms. (English) Zbl 1513.35349
A decay result of the energy to a viscoelastic equation with memory kernel. (Chinese. English summary) Zbl 1449.35086
MSC:
35B40
Vanishing viscosity limit for incompressible viscoelasticity in two dimensions. (English) Zbl 1439.35391
Stabilisation of a wave equation with localised memory term and boundary frictional damping. (English) Zbl 1423.93323
On solutions of matrix-valued convolution equations, CM-derivatives and their applications in linear and nonlinear anisotropic viscoelasticity. (English) Zbl 1415.74014
Replacement relations for a viscoelastic material containing multiple inhomogeneities. (English) Zbl 1425.74112
Convergence analysis of Wilson element for viscoelasticity type equations. (Chinese. English summary) Zbl 1424.65174
Global nonexistence of solutions for viscoelastic wave equation with delay. (English) Zbl 1414.35128
Reviewer: Igor Bock (Bratislava)
Microhydrodynamics, Brownian motion, and complex fluids. (English) Zbl 1430.76001
Cambridge Texts in Applied Mathematics. Cambridge: Cambridge University Press (ISBN 978-1-107-69593-1/pbk; 978-1-107-02464-9/hbk; 978-1-139-17587-6/ebook). xiv, 266 p. (2018).
Reviewer: Gelu Paşa (Bucureşti)
Dynamical identification of a space varying coefficient in a system with persistent memory. (English) Zbl 1451.74056
MSC:
74D05
Development of asymptotic methods for the analysis of dispersion relations for a viscoelastic solid cylinder. (Russian. English summary) Zbl 1462.74032
A contact problem for viscoelastic bodies with inertial effects and unilateral boundary constraints. (English) Zbl 1386.74106
Averaging of equations of viscoelasticity with singularly oscillating external forces. (English. French summary) Zbl 1403.35173
Reviewer: Alain Brillard (Riedisheim)
High accuracy analysis of a new \({H^1}\)-Galerkin lowest order mixed finite element scheme for quasi-linear viscoelasticity equations. (Chinese. English summary) Zbl 1399.65338
Global existence of weak solutions to a three-dimensional fractional model in magneto-viscoelastic interactions. (English) Zbl 1483.74032
Well-posedness and exponential stability for a plate equation with time-varying delay and past history. (English) Zbl 1408.35183
A weak formulation for a rate-independent delamination evolution with inertial and viscosity effects subjected to unilateral constraint. (English) Zbl 1371.35287
An energy-conserving time-discretisation scheme for poroelastic media with phase-field fracture emitting waves and heat. (English) Zbl 06710672
Analysis of the energy decay of a viscoelasticity type equation. (English) Zbl 1389.35298
MSC:
35Q74
Well-posed solvability of Volterra integro-differential equations in Hilbert space. (English. Russian original) Zbl 1365.45009
Differ. Equ. 52, No. 9, 1123-1132 (2016); translation from Differ. Uravn. 52, No. 9, 1168-1177 (2016).
Reviewer: Temur A. Jangveladze (Tbilisi)
New \(H^1\)-Galerkin mixed finite element analysis for quasi-linear viscoelasticity equation. (Chinese. English summary) Zbl 1363.74014
Discontinuous Galerkin method for an integro-differential equation modeling dynamic fractional order viscoelasticity. (English) Zbl 1423.74900
A general decay result of a nonlinear system of wave equations with infinite memories. (English) Zbl 1390.35184
The one-dimensional inverse problem for the equation of viscoelasticity in a bounded domain. (Russian. English summary) Zbl 1374.74041
Reviewer: Boris V. Loginov (Ul’yanovsk)
The effective solution of two-dimensional integro-differential equations and their applications in the theory of viscoelasticity. (English) Zbl 1335.45004
Spectral analysis of integro-differential equations in viscoelasticity and thermal physics. (English. Russian original) Zbl 1338.45001
Math. Notes 98, No. 4, 689-693 (2015); translation from Mat. Zametki 98, No. 4, 630-634 (2015).
A linear algorithm for the identification of a relaxation kernel using two boundary measures. (English) Zbl 1328.65279
Inverse problem of determining the one-dimensional kernel of the viscoelasticity equation in a bounded domain. (English. Russian original) Zbl 1326.35375
Math. Notes 97, No. 6, 867-877 (2015); translation from Mat. Zametki 97, No. 6, 855-867 (2015).
On large time asymptotics for two classes of contact problems. (English) Zbl 1317.74070
Han, Weimin (ed.) et al., Advances in variational and hemivariational inequalities. Theory, numerical analysis, and applications. Cham: Springer (ISBN 978-3-319-14489-4/hbk; 978-3-319-14490-0/ebook). Advances in Mechanics and Mathematics 33, 299-332 (2015).
MSC:
74M15
From an adhesive to a brittle delamination model in thermo-visco-elasticity. (English) Zbl 1323.35101
Reviewer: Igor Bock (Bratislava)
Modifying Maxwell’s equations for dielectric materials based on techniques from viscoelasticity and concepts from fractional calculus. (English) Zbl 1423.78009
Well-posedness of an integro-differential equation with positive type kernels modeling fractional order viscoelasticity. (English) Zbl 1406.74644
New integral representations in the linear theory of viscoelastic materials with voids. (English) Zbl 1453.35046
Error estimations of \(\text{H}^1\)-Galerkin mixed finite element method for viscoelasticity equation. (Chinese. English summary) Zbl 1340.65232
Dynamic stability of viscoelastic flexible plates of variable stiffness under axial compression. (English. Russian original) Zbl 1314.74038
Int. Appl. Mech. 50, No. 4, 389-398 (2014); translation from Prikl. Mekh., Kiev 50, No. 4, 41-51 (2014).
Molecular transport in viscoelastic materials: mechanistic properties and chemical affinities. (English) Zbl 1375.35373
One-dimensional model describing the non-linear viscoelastic response of materials. (English) Zbl 1324.74014
Reviewer: Igor Bock (Bratislava)
Solutions of integro-differential equations related to contact problems of viscoelasticity. (English) Zbl 1302.45015
Homogenization of the viscoelastic heterogeneous materials with multi-coated reinforcements: an internal variables formulation. (English) Zbl 1345.74096
Physics and partial differential equations. Volume II. Translated from the Chinese by Yachun Li. (English) Zbl 1329.35002
Other Titles in Applied Mathematics 137. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM); Beijing: Higher Education Press (ISBN 978-1-611973-31-0/pbk). x, 271 p. (2014).
Reviewer: Georg Hebermehl (Berlin)
On the construction of Dirichlet series approximations for completely monotone functions. (English) Zbl 1290.41013
Reviewer: Gerlind Plonka-Hoch (Göttingen)
On a non-dissipative Kirchhoff viscoelastic problem. (English) Zbl 1302.35261
J. Contemp. Math. Anal., Armen. Acad. Sci. 48, No. 6, 285-296 (2013) and Izv. Nats. Akad. Nauk Armen., Mat. 48, No. 6, 112-122 (2013).
A linear viscoelasticity problem with a singular memory kernel: an existence and uniqueness result. (English) Zbl 1299.74072
\(\text{EQ}^{\operatorname{rot}}_1\) nonconforming finite element analysis for nonlinear viscoelasticity equations. (English) Zbl 1299.74036
Vibrations of inhomogeneous anisotropic viscoelastic bodies described with fractional derivative models. (English) Zbl 1351.74042
Slip effects in HDPE flows. (English) Zbl 1283.74005
Time-domain formulation in computational dynamics for linear viscoelastic media with model uncertainties and stochastic excitation. (English) Zbl 1268.74013
Integro-differential equations with Fredholm operator by the derivative of the highest order in Banach spaces and its applications. (Russian. English summary) Zbl 1261.45007
Problem of kernel recovering for the viscoelasticity equation. (English. Russian original) Zbl 1284.35430
Dokl. Math. 86, No. 2, 608-610 (2012); translation from Dokl. Akad. Nauk. 446, No. 1, 18-20 (2012).
Reviewer: Daniel Ševčovič (Bratislava)
MSC:
35Q74
Evolutionary integral equations and applications. Reprint of the 1993 original. (English) Zbl 1258.45008
Modern Birkhäuser Classics. Basel: Birkhäuser (ISBN 978-3-0348-0498-1/pbk; 978-3-0348-0499-8/ebook). xxvi, 366 p. (2012).
Reviewer: Boris V. Loginov (Ul’yanovsk)
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