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math.AP2020
Existence of large-data global weak solutions to a model of a strain-limiting viscoelastic body
Miroslav Bulíček, Victoria Patel, Yasemin Şengül +1
We prove the existence of a unique large-data global-in-time weak solution to a class of models of the form for viscoelast…
math.AP2020
On incompressible heat-conducting viscoelastic rate-type fluids with stress-diffusion and purely spherical elastic response
Miroslav Bulíček, Josef Málek, Vít Průša +1
We prove the existence of large-data global-in-time weak solutions to an evolutionary PDE system describing flows of incompressible \emph{heat-conducting} viscoelastic rate-type fl…
math.NA2020
Uniform Hölder-norm bounds for finite element approximations of second-order elliptic equations
Lars Diening, Toni Scharle, Endre Süli
We develop a discrete counterpart of the De Giorgi-Nash-Moser theory, which provides uniform Hölder-norm bounds on continuous piecewise affine finite element approximations of seco…