Global Existence Result for the Generalized Peterlin Viscoelastic Model
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Publication:4975435
DOI10.1137/16M1068505zbMath1368.76007OpenAlexW2742489949MaRDI QIDQ4975435
Michael Renardy, Hana Mizerová, Mária Lukáčová-Medvid'ová, Šarka Matušú-Nečasová
Publication date: 7 August 2017
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/16m1068505
Viscoelastic fluids (76A10) Initial value problems for second-order parabolic systems (35K45) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61)
Related Items (13)
Large data existence theory for three-dimensional unsteady flows of rate-type viscoelastic fluids with stress diffusion ⋮ Stability and convergence of first order time discrete linearized pressure correction projection method for the diffusive Peterlin viscoelastic model ⋮ Global Strong Solutions for Some Differential Viscoelastic Models ⋮ A fully discrete two-grid method for the diffusive Peterlin viscoelastic model ⋮ Global existence of weak solutions to viscoelastic phase separation part: I. Regular case ⋮ Global existence of weak solutions to viscoelastic phase separation: part II. Degenerate case ⋮ Viscoelastic Cahn–Hilliard models for tumor growth ⋮ On a second-order decoupled time-stepping scheme for solving a finite element problem for the approximation of Peterlin viscoelastic model ⋮ Analysis of Stabilized Crank-Nicolson Time-Stepping Scheme for the Evolutionary Peterlin Viscoelastic Model ⋮ Existence of global weak solutions to the kinetic Peterlin model ⋮ An incompressible polymer fluid interacting with a Koiter shell ⋮ On Incompressible Heat-Conducting Viscoelastic Rate-Type Fluids with Stress-Diffusion and Purely Spherical Elastic Response ⋮ Second-Order Finite Difference Approximations of the Upper-Convected Time Derivative
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