Paper Search Console

Home Search Page About Contact

Journal Title

Title of Journal: Arch Rational Mech Anal

Search In Journal Title:

Abbravation: Archive for Rational Mechanics and Analysis

Search In Journal Abbravation:

Publisher

Springer Berlin Heidelberg

Search In Publisher:

DOI

10.1007/bf00964856

Search In DOI:

ISSN

1432-0673

Search In ISSN:
Search In Title Of Papers:

Regularity Issues in the Problem of Fluid Structur

Authors: David GérardVaret Matthieu Hillairet
Publish Date: 2009/01/21
Volume: 195, Issue: 2, Pages: 375-407
PDF Link

Abstract

We investigate the evolution of rigid bodies in a viscous incompressible fluid The flow is governed by the 2D Navier–Stokes equations set in a bounded domain with Dirichlet boundary conditions The boundaries of the solids and the domain have Hölder regularity C1α 0  α ≦ 1 First we show the existence and uniqueness of strong solutions up to the collision A key ingredient is a BMO bound on the velocity gradient which substitutes to the standard H2 estimate for smoother domains Then we study the asymptotic behaviour of one C1α body falling over a flat surface We show that a collision is possible in finite time if and only if α 1/2

Keywords:

References

.
Search In Abstract Of Papers:
Other Papers In This Journal:
  1. Optimal Design in Conductivity Under Locally Constrained Heat Flux
  2. Negative Eigenvalues of Two-Dimensional Schrödinger Operators
  3. Dobrushin States in the $${\phi^4_1}$$ Model
  4. The Liouville Theorem and the L 2 Decay for the FENE Dumbbell Model of Polymeric Flows
  5. The Liouville Theorem and the L 2 Decay for the FENE Dumbbell Model of Polymeric Flows
  6. Counterexamples to the Sonic Criterion
  7. Dislocation Dynamics: Short-time Existence and Uniqueness of the Solution
  8. On Nonlinear Stochastic Balance Laws
  9. Weak Solutions of the Navier–Stokes Equations for Compressible Flows in a Half-Space with No-Slip Boundary Conditions
  10. Generalized Transition Fronts for One-Dimensional Almost Periodic Fisher-KPP Equations
  11. The Gel’fand Problem for the Biharmonic Operator
  12. The Existence Problem for Steiner Networks in Strictly Convex Domains
  13. Stability of Detonation Profiles in the ZND Limit
  14. Uniqueness of Absolute Minimizers for $${L^\infty}$$-Functionals Involving Hamiltonians $${H(x,p)}$$H(x,p)
  15. A Condition for the Hölder Regularity of Local Minimizers of a Nonlinear Elastic Energy in Two Dimensions
  16. Kinetic Stabilization¶of a Nonlinear Sonic Phase Boundary
  17. The Toda System and Clustering Interfaces in the Allen–Cahn equation
  18. A Stability Criterion for Two-Fluid Interfaces and Applications
  19. Long-Time Convergence of an Adaptive Biasing Force Method: The Bi-Channel Case
  20. Displacement Convexity and Minimal Fronts at Phase Boundaries
  21. Gradient Bounds for Elliptic Problems Singular at the Boundary
Search Result: