Contents of Volume 81
Parabolic and Navier–Stokes equations
Editors: Joanna Rencławowicz and Wojciech M. Zajączkowski
doi:10.4064/bc81
Editors: Joanna Rencławowicz and Wojciech M. Zajączkowski
doi:10.4064/bc81
- Preface, 5
- Participants, 9-11
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New a priori estimates for nondiagonal strongly nonlinear parabolic systems Banach Center Publications 81 (2008), 13-30 MSC: Primary 35B65; Secondary 35B45, 35J55, 35J60, 35K40. DOI: 10.4064/bc81-0-1
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Radially symmetric solutions of a chemotaxis model in the plane–the supercritical case Banach Center Publications 81 (2008), 31-42 MSC: 35Q, 35K60, 35B40. DOI: 10.4064/bc81-0-2
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On the Stefan problem with a small parameter Banach Center Publications 81 (2008), 43-63 MSC: Primary 35R35; Secondary 35B25, 35K60, 80A22. DOI: 10.4064/bc81-0-3
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Numerical simulation of a viscoelastic fluid with a preconditioned Schwarz method Banach Center Publications 81 (2008), 65-80 MSC: Primary 46C20; Secondary 32G81. DOI: 10.4064/bc81-0-4
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On the existence of pullback attractor for a two-dimensional shear flow with Tresca's boundary condition Banach Center Publications 81 (2008), 81-93 MSC: 76D05, 76F10, 76F20. DOI: 10.4064/bc81-0-5
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1D dynamics of a second-grade viscous fluid in a constricted tube Banach Center Publications 81 (2008), 95-103 MSC: Primary 76A05; Secondary 76M25. DOI: 10.4064/bc81-0-6
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Global existence and convergence to steady states in a chemorepulsion system Banach Center Publications 81 (2008), 105-117 MSC: 35K57, 35K60, 92C17. DOI: 10.4064/bc81-0-7
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On boundary-driven time-dependent Oseen flows Banach Center Publications 81 (2008), 119-132 MSC: Primary 76D07; Secondary 35Q30, 35K50, 35C15. DOI: 10.4064/bc81-0-8
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Multicomponent models in nuclear astrophysics Banach Center Publications 81 (2008), 133-156 MSC: Primary 76N10; Secondary 80A32. DOI: 10.4064/bc81-0-9
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Initial boundary value problems of the Degasperis-Procesi equation Banach Center Publications 81 (2008), 157-174 MSC: 35G25, 35L05. DOI: 10.4064/bc81-0-10
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Criteria of local in time regularity of the Navier-Stokes equations beyond Serrin's condition Banach Center Publications 81 (2008), 175-184 MSC: Primary 35Q30; Secondary 76D05, 35B65. DOI: 10.4064/bc81-0-11
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Non-standard applications of the Łojasiewicz-Simon theory: Stabilization to equilibria of solutions to phase-field models Banach Center Publications 81 (2008), 185-196 MSC: Primary 35B40; Secondary 45K05. DOI: 10.4064/bc81-0-12
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On the initial-boundary value problems for a degenerate parabolic equation Banach Center Publications 81 (2008), 197-211 MSC: Primary 35K65; Secondary 35K60. DOI: 10.4064/bc81-0-13
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Uniform analytic-Gevrey regularity of solutions to a semilinear heat equation Banach Center Publications 81 (2008), 213-226 MSC: Primary 35B65, 35E15, 35K05, 35K15. DOI: 10.4064/bc81-0-14
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On a constrained minimization problem arising in hemodynamics Banach Center Publications 81 (2008), 227-241 MSC: Primary 65M60; Secondary 74F10, 76Z05. DOI: 10.4064/bc81-0-15
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Linear flow problems in 2D exterior domainsfor 2D incompressible fluid flows Banach Center Publications 81 (2008), 243-257 MSC: 35Q30, 75D05. DOI: 10.4064/bc81-0-16
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$L^q$-approach to weak solutions of the Oseen flow around a rotating body Banach Center Publications 81 (2008), 259-276 MSC: Primary 76D05; Secondary 35Q30. DOI: 10.4064/bc81-0-17
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Global solutions, structure of initial data and the Navier-Stokes equations Banach Center Publications 81 (2008), 277-286 MSC: 35Q30, 76D05. DOI: 10.4064/bc81-0-18
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On weak solutions to the equations of non-stationary motion of heat-conducting incompressible viscous fluids: defect measure and energy equality Banach Center Publications 81 (2008), 287-296 MSC: Primary 35Q30; Secondary 76D05. DOI: 10.4064/bc81-0-19
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Optimal convergence results for the Brezzi-Pitkäranta approximation of the Stokes problem: Exterior domains Banach Center Publications 81 (2008), 297-320 MSC: Primary 76D07; Secondary 35Q30. DOI: 10.4064/bc81-0-20
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The Navier–Stokes equation with inhomogeneous boundary conditions based on vorticity Banach Center Publications 81 (2008), 321-335 MSC: Primary 35Q30; Secondary 76D05. DOI: 10.4064/bc81-0-21
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Global existence and uniqueness of weak solutions to Cahn-Hilliard-Gurtin system in elastic solids Banach Center Publications 81 (2008), 337-368 MSC: Primary 35K50; Secondary 35K60, 35Q72. DOI: 10.4064/bc81-0-22
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The Stokes system in the incompressible case–revisited Banach Center Publications 81 (2008), 369-382 MSC: Primary 35Q30, 76D07. DOI: 10.4064/bc81-0-23
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On the existence and regularity of the solutions to the incompressible Navier-Stokes equations in presence of mass diffusion Banach Center Publications 81 (2008), 383-419 MSC: Primary 35Q30; Secondary 76D03. DOI: 10.4064/bc81-0-24
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On the spatial analyticity of solutions to the Keller-Segel equations Banach Center Publications 81 (2008), 421-431 MSC: Primary 35Q30. DOI: 10.4064/bc81-0-25
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Solutions to the equation ${\rm div} u=f$ in weighted Sobolev spaces Banach Center Publications 81 (2008), 433-440 MSC: Primary 35F15. DOI: 10.4064/bc81-0-26
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A stability theorem of the Navier-Stokes flow past a rotating body Banach Center Publications 81 (2008), 441-455 MSC: Primary 35Q30; Secondary 76D05, 76D07. DOI: 10.4064/bc81-0-27
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On an existence theorem for the Navier-Stokes equations with free slip boundary condition in exterior domain Banach Center Publications 81 (2008), 457-470 MSC: Primary 35Q30; Secondary 76D05. DOI: 10.4064/bc81-0-28
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Maximal regularity and viscous incompressible flows with free interface Banach Center Publications 81 (2008), 471-480 MSC: Primary 35Q30; Secondary 76D07. DOI: 10.4064/bc81-0-29
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On various types of viscous two-fluid flows Banach Center Publications 81 (2008), 481-491 MSC: Primary 35Q30; Secondary 35R35, 76D03. DOI: 10.4064/bc81-0-30
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Stationary solutions of the generalized Smoluchowski–Poisson equation Banach Center Publications 81 (2008), 493-500 MSC: 35Q, 35J20, 35J65, 47J30, 82C21. DOI: 10.4064/bc81-0-31
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Stationary states and moving planes Banach Center Publications 81 (2008), 501-513 MSC: 35Q30, 49S05, 76E20. DOI: 10.4064/bc81-0-32
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Lagrangian approximations and weak solutions of the Navier-Stokes equations Banach Center Publications 81 (2008), 515-532 MSC: Primary 35B65; Secondary 67D05. DOI: 10.4064/bc81-0-33
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A direct proof of the Caffarelli-Kohn-Nirenberg theorem Banach Center Publications 81 (2008), 533-552 MSC: Primary 35Q30; Secondary 35D10. DOI: 10.4064/bc81-0-34
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Chemotaxis models with a threshold cell density Banach Center Publications 81 (2008), 553-566 MSC: Primary 35K55, 35K65; Secondary 34B15, 34C25. DOI: 10.4064/bc81-0-35
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Some linear parabolic system in Besov spaces Banach Center Publications 81 (2008), 567-612 MSC: Primary 35K45, 35K50; Secondary 35K40. DOI: 10.4064/bc81-0-36
