Partial regularity of a certain class of non-Newtonian fluids
From MaRDI portal
Publication:2014111
DOI10.1016/j.jmaa.2017.06.049zbMath1373.35253OpenAlexW2708268193MaRDI QIDQ2014111
Publication date: 10 August 2017
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.06.049
Smoothness and regularity of solutions to PDEs (35B65) Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35) Weak solutions to PDEs (35D30)
Related Items
Hölder continuity of weak solution to a nonlinear problem with non-standard growth conditions ⋮ Regularity of weak solutions to a class of nonlinear problem ⋮ Error estimates for a viscosity-splitting scheme in time applied to non-Newtonian fluid flows ⋮ Regularity of weak solutions to a class of nonlinear problem with non-standard growth conditions ⋮ Shear rate projection schemes for non-Newtonian fluids ⋮ Inertial energy dissipation for weak solution of electrorheological fluids
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Partial regularity for subquadratic parabolic systems under controllable growth conditions
- On the motion of several rigid bodies in an incompressible non-Newtonian and heat-conducting fluid
- Partial regularity for subquadratic parabolic systems by \(\mathcal{A}\)-caloric approximation
- Strong solutions for generalized Newtonian fluids
- On non-Newtonian fluids with energy transfer
- On the Hölder continuity of bounded weak solutions of quasilinear parabolic systems
- On the modeling of electrorheological materials
- Nonlinear elliptic systems with measure-valued right hand side
- Regularity results for parabolic systems related to a class of non-Newtonian fluids.
- Regularity results for electrorheological fluids: The stationary case
- Partial regularity results for minimizers of quasiconvex functionals of higher order
- Interior differentiability of weak solutions to the equations of stationary motion of a class of non-Newtonian fluids
- Regularity results for stationary electro-rheological fluids
- Regularity of non-Newtonian fluids
- Optimal partial regularity of second-order parabolic systems under natural growth condition
- Optimal partial regularity of second order parabolic systems under controllable growth condition
- \(C^{1,\alpha}\)-regularity for electrorheological fluids in two dimensions
- Regularity of flows of a non-Newtonian fluid subject to Dirichlet boundary conditions
- Equazioni paraboliche del secondo ordine e spazi \({\mathfrak L}^{2,\theta} (\Omega,\delta)\)
- Spazi \({\mathcal L}^{(p,\vartheta)} (\Omega,\delta)\) e loro proprieta
- Convergence of approximants by regularization for solutions of nonlinear functional equations in Banach spaces
- Second order parabolic systems, optimal regularity, and singular sets of solutions
- The method of A-harmonic approximation and optimal interior partial regularity for nonlinear elliptic systems under the controllable growth condition
- Existence of weak solutions to the equations of non-stationary motion of non-Newtonian fluids with shear rate dependent viscosity
- Measure-valued solutions and asymptotic behavior of a multipolar model of a boundary layer
- Incompressible non-Newtonian fluids: time asymptotic behaviour of weak solutions
- On the motion of several rigid bodies in an incompressible non-Newtonian fluid
- ON NON-NEWTONIAN FLUIDS WITH A PROPERTY OF RAPID THICKENING UNDER DIFFERENT STIMULUS
- Existence of weak solutions for unsteady motions of generalized Newtonian fluids
- Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)
- Young Measure‐Valued Solutions for Non-Newtonian Incompressible Fluids1
- A note on steady flow of fluids with shear dependent viscosity
- An existence result for fluids with shear dependent viscosity — Steady flows
- ON THE NON-NEWTONIAN INCOMPRESSIBLE FLUIDS
- Existence result for the motion of several rigid bodies in an incompressible non-Newtonian fluid with growth conditions in Orlicz spaces
- On Lipschitz truncations of Sobolev functions (with variable exponent) and their selected applications
- Monotonicity methods in generalized Orlicz spaces for a class of non-Newtonian fluids
- Mathematical modeling of electrorheological materials
- On weak solutions to a class of non-Newtonian incompressible fluids in bounded three-dimensional domains: The case \(p\geq 2\)
