6533b857fe1ef96bd12b5016
RESEARCH PRODUCT
Analysis of a viscoelastic phase separation model
Maria Lukacova-medvidovaAaron BrunkDominic SpillerOliver HabrichHerbert EggerBurkhard DünwegBurkhard Dünwegsubject
media_common.quotation_subjectFOS: Physical sciencesSecond law of thermodynamics02 engineering and technologySpace (mathematics)01 natural sciencesStability (probability)ViscoelasticityMathematics - Analysis of PDEs0103 physical sciencesFOS: MathematicsGeneral Materials ScienceStatistical physicsUniqueness010306 general physicsMathematical Physicsmedia_commonPhysicsMesoscopic physicsDynamic structure factorMathematical Physics (math-ph)021001 nanoscience & nanotechnologyCondensed Matter PhysicsDissipative system0210 nano-technologyAnalysis of PDEs (math.AP)description
A new model for viscoelastic phase separation is proposed, based on a systematically derived conservative two-fluid model. Dissipative effects are included by phenomenological viscoelastic terms. By construction, the model is consistent with the second law of thermodynamics, and we study well-posedness of the model, i.e., existence of weak solutions, a weak-strong uniqueness principle, and stability with respect to perturbations, which are proven by means of relative energy estimates. A good qualitative agreement with mesoscopic simulations is observed in numerical tests.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2020-12-07 |