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A time-fractional of a viscoelastic frictionless contact problem with normal compliance
In this paper, we propose a new model of dynamic frictionless contact problem between a viscoelastic body and a rigid foundation. The constitutive...
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History-Dependent Inequalities for Contact Problems with Locking Materials
We consider a class of history-dependent variational–hemivariational inequalities with constraints. Besides the unique solvability of the...
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Efficient, Quantitative Numerical Methods for Statistical Image Deconvolution and Denoising
We review the development of efficient numerical methods for statistical multi-resolution estimation of optical imaging experiments. In principle,...
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Evolutionary Oseen Model for Generalized Newtonian Fluid with Multivalued Nonmonotone Friction Law
The paper deals with the non-stationary Oseen system of equations for the generalized Newtonian incompressible fluid with multivalued and nonmonotone...
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Covariant bit threads
We derive several new reformulations of the Hubeny-Rangamani-Takayanagi covariant holographic entanglement entropy formula. These include: (1) a...
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Free Discontinuities in Optimal Transport
We prove a nonsmooth implicit function theorem applicable to the zero set of the difference of convex functions. This theorem is explicit and global:...
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Global Structure and Regularity of Solutions to the Eikonal Equation
The evolutionary Eikonal equation is a Hamilton–Jacobi equation with Hamiltonian H ( P ) = | P |, which is not strictly convex nor smooth. The...
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A Class of Variational-Hemivariational Inequalities in Reflexive Banach Spaces
We study a new class of elliptic variational-hemivariational inequalities in reflexive Banach spaces. An inequality in the class is governed by a...
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A Dynamic Contact Problem with History-Dependent Operators
In this paper we present results on existence, uniqueness and convergence of solutions to the Cauchy problem for abstract first order evolutionary...
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Area Theorem and Smoothness of Compact Cauchy Horizons
We obtain an improved version of the area theorem for not necessarily differentiable horizons which, in conjunction with a recent result on the...
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Propagation of Singularities for Weak KAM Solutions and Barrier Functions
This paper studies the structure of the singular set (points of nondifferentiability) of viscosity solutions to Hamilton–Jacobi equations associated...
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Hyperbolic Hemivariational Inequalities for Dynamic Viscoelastic Contact Problems
The paper deals with second order nonlinear evolution inclusions and their applications. First, we study an evolution inclusion involving...
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A Unified Approach to Dynamic Contact Problems in Viscoelasticity
In this paper we consider mathematical models describing dynamic viscoelastic contact problems with the Kelvin–Voigt constitutive law and...
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Modelling and numerical simulation of martensitic transformation in shape memory alloys
We consider the evolution of martensitic fine structures in shape memory alloys which undergo an isothermal phase-transformation. This process is...
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Euler-Lagrange Equations for Nonlinearly Elastic Rods with Self-Contact
We derive the Euler-Lagrange equations for nonlinearly elastic rods with self-contact. The excluded-volume constraint is formulated in terms of an...
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Nonconvex Semi-Linear Problems and Canonical Duality Solutions
This paper presents a brief review and some new developments on the canonical duality theory with applications to a class of variational problems in...
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Finite multiplicative plasticity for small elastic strains with linear balance equations and grain boundary relaxation
This paper is concerned with the formulation of a phenomenological model of finite elasto-plasticity valid for small elastic strains for initially...