4 papers
Weak-strong Uniqueness for Heat Conducting non-Newtonian Incompressible Fluids
Pablo Alexei Gazca-Orozco, Victoria Patel
In this work, we introduce a notion of dissipative weak solution for a system describing the evolution of a heat-conducting incompressible non-Newtonian fluid. This concept of solu…
Nonlinear dynamic fracture problems with polynomial and strain-limiting constitutive relations
Victoria Patel
We extend the framework of dynamic fracture problems with a phase-field approximation to the case of a nonlinear constitutive relation between the Cauchy stress tensor $ \mathbb{T}…
Existence and uniqueness of global weak solutions to strain-limiting viscoelasticity with Dirichlet boundary data
Miroslav Bulíček, Victoria Patel, Yasemin Şengül +1
We consider a system of evolutionary equations that is capable of describing certain viscoelastic effects in linearized yet nonlinear models of solid mechanics. The essence of the…
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…