Moving vesicles in elastic tissues: a model with existence and uniqueness of weak solutions
DOI10.1016/j.physd.2021.133079zbMath1483.74067OpenAlexW3211974638MaRDI QIDQ2077843
Paolo Maria Mariano, Luca Bisconti
Publication date: 22 February 2022
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physd.2021.133079
maximum principleexistenceuniquenessphase-field modelparabolic-elliptic systemmembrane bendingvesicle transport
Biomechanics (92C10) Membranes (74K15) Biomechanical solid mechanics (74L15) Existence of solutions of dynamical problems in solid mechanics (74H20) Uniqueness of solutions of dynamical problems in solid mechanics (74H25) PDEs in connection with mechanics of deformable solids (35Q74)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A Lagrangian variational formulation for nonequilibrium thermodynamics. I: Discrete systems.
- A Lagrangian variational formulation for nonequilibrium thermodynamics. II: Continuum systems.
- Existence and regularity for a model of viscous oriented fluid accounting for second-neighbor spin-to-spin interactions
- Line defect evolution in finite-dimensional manifolds
- Reproductivity for a nematic liquid crystal model
- Geometry and balance of hyperstresses
- Continua with latent microstructure
- On the thermomechanics of interstitial working
- The thermodynamics of elastic materials with heat conduction and viscosity
- The Euler-Poincaré equations and semidirect products with applications to continuum theories
- Geometric analysis of hyper-stresses
- Global existence and regularity for the dynamics of viscous oriented fluids
- Efficient linear schemes with unconditional energy stability for the phase field elastic bending energy model
- A highly anisotropic nonlinear elasticity model for vesicles. I: Eulerian formulation, rigidity estimates and vanishing energy limit
- Nonholonomic mechanical systems with symmetry
- Energetic variational approaches in modeling vesicle and fluid interactions
- Cracks in complex bodies: Covariance of tip balances
- Analysis of a phase field Navier-Stokes vesicle-fluid interaction model
- On the thermostatics of continuous media
- Generalized Lagrange-D’Alembert principle
- Second-neighbor interactions in classical field theories: invariance of the relative power and covariance
- Asymptotic Analysis of Phase Field Formulations of Bending Elasticity Models
- A model of isotropic damage with strain-gradient effects: existence and uniqueness of weak solutions for progressive damage processes
- d’Alembert–Lagrange analytical dynamics for nonholonomic systems
- Migration of substructures in complex fluids
- Existence Results in The Linear Dynamics of Quasicrystals with Phason Diffusion and Nonlinear Gyroscopic Effects
- Symmetry-Breaking Global Bifurcation in a Surface Continuum Phase-Field Model for Lipid Bilayer Vesicles
- A variational approach to second-order multisymplectic field theory
This page was built for publication: Moving vesicles in elastic tissues: a model with existence and uniqueness of weak solutions