Local well-posedness for relaxational fluid vesicle dynamics
نویسندگان
چکیده
منابع مشابه
Local Well-Posedness of Dynamics of Viscous Gaseous Stars
We establish the local in time well-posedness of strong solutions to the vacuum free boundary problem of the compressible Navier-Stokes-Poisson system in the spherically symmetric and isentropic motion. Our result captures the physical vacuum boundary behavior of the Lane-Emden star configurations for all adiabatic exponents γ > 6 5 . 1 Formulation and Notation The motion of self-gravitating vi...
متن کاملOn well-posedness for a free boundary fluid-structure model
Related Articles Generalized extended Navier-Stokes theory: Correlations in molecular fluids with intrinsic angular momentum J. Chem. Phys. 138, 034503 (2013) Velocity relaxation of an ellipsoid immersed in a viscous incompressible fluid Phys. Fluids 25, 013101 (2013) Remarks on the regularity criteria of generalized MHD and Navier-Stokes systems J. Math. Phys. 54, 011502 (2013) Germano identit...
متن کاملWell-Posedness for a One-Dimensional Fluid-Particle Interaction Model
The fluid-particle interaction model introduced by the three last authors in [J. Differential Equations, 245 (2008), pp. 3503–3544] is the object of our study. This system consists of the Burgers equation with a singular source term (term that models the interaction via a drag force with a moving point particle) and of an ODE for the particle path. The notion of entropy solution for the singula...
متن کاملLocal well-posedness results for density-dependent incompressible fluids
This paper is dedicated to the study of the initial value problem for density dependent incompressible viscous fluids in R with N ≥ 2. We address the question of well-posedness for large data having critical Besov regularity and we aim at stating well-posedness in functional spaces as close as possible to the ones imposed in the incompressible Navier Stokes system by Cannone, Meyer and Planchon...
متن کاملSharp Local Well-posedness Results for the Nonlinear Wave Equation
This article is concerned with local well-posedness of the Cauchy problem for second order quasilinear hyperbolic equations with rough initial data. The new results obtained here are sharp in low dimension.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Evolution Equations
سال: 2018
ISSN: 1424-3199,1424-3202
DOI: 10.1007/s00028-018-0461-3