Global existence of classical solutions for a reactive polymeric fluid near equilibrium
DOI10.1007/s00526-022-02218-3zbMath1506.35168arXiv2101.11455OpenAlexW3214217961WikidataQ114017930 ScholiaQ114017930MaRDI QIDQ2135738
Chun Liu, Teng-Fei Zhang, YiWei Wang
Publication date: 9 May 2022
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2101.11455
PDEs in connection with fluid mechanics (35Q35) Statistical mechanics of polymers (82D60) Variational methods applied to PDEs (35A15) Viscoelastic fluids (76A10) Variational methods applied to problems in fluid mechanics (76M30) A priori estimates in context of PDEs (35B45) Reaction effects in flows (76V05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Fokker-Planck equations (35Q84)
Cites Work
- Micro-macro models for viscoelastic fluids: modelling, mathematics and numerics
- Energy method for Boltzmann equation
- Coagulation-fragmentation model for animal group-size statistics
- A network scission model for wormlike micellar solutions. I: Model formulation and viscometric flow predictions
- A kinetic flocking model with diffusion
- Compressible fluid flow and systems of conservation laws in several space variables
- Global solutions for incompressible viscoelastic fluids
- A maximum entropy principle based closure method for macro-micro models of polymeric materials
- On the global existence of smooth solution to the 2-D FENE dumbbell model
- Partial differential equations. III: Nonlinear equations.
- Dispersion relations for the linearized Fokker-Planck equation
- The Vlasov-Maxwell-Boltzmann system near Maxwellians
- Boltzmann equation: micro-macro decompositions and positivity of shock profiles
- Existence of solution for a micro-macro model of polymeric fluid: The FENE model.
- Global solutions for some Oldroyd models of non-Newtonian flows
- Global existence of weak solutions to two dimensional compressible viscoelastic flows
- An energetic variational approach for the Cahn-Hilliard equation with dynamic boundary condition: model derivation and mathematical analysis
- Well-posedness for the dumbbell model of polymeric fluids
- Global existence of weak solutions to the FENE dumbbell model of polymeric flows
- On the general Ericksen-Leslie system: Parodi's relation, well-posedness and stability
- Mathematical analysis of multi-scale models of complex fluids
- Local existence for the FENE-dumbbell model of polymeric fluids
- About Lifespan of Regular Solutions of Equations Related to Viscoelastic Fluids
- Some Analytical Issues for Elastic Complex Fluids
- Local Existence for the Dumbbell Model of Polymeric Fluids
- Global Classical Solutions to a Compressible Model for Micro-Macro Polymeric Fluids Near Equilibrium
- On a micro-macro model for polymeric fluids near equilibrium
- Global Solutions of Two-Dimensional Incompressible Viscoelastic Flows with Discontinuous Initial Data
- Well-posedness for the FENE dumbbell model of polymeric flows
- On the formulation of rheological equations of state
- An Existence Theorem for Model Equations Resulting from Kinetic Theories of Polymer Solutions
- Reciprocal Relations in Irreversible Processes. II.
- The Vlasov‐Poisson‐Boltzmann system near Maxwellians
- A Fluid-Kinetic Model for Particulate Flows with Coagulation and Breakup: Stationary Solutions, Stability, and Hydrodynamic Regimes
- Phase-field dynamics with transfer of materials: The Cahn–Hilliard equation with reaction rate dependent dynamic boundary conditions
- A Nonhomogeneous Kinetic Model of Liquid Crystal Polymers and Its Thermodynamic Closure Approximation
- Boltzmann diffusive limit beyond the Navier‐Stokes approximation
This page was built for publication: Global existence of classical solutions for a reactive polymeric fluid near equilibrium
