The volume originates from the 'Conference on Nonlinear Parabolic Problems' held in celebration of Herbert Amann's 70th birthday at the Banach Center in Bedlewo, Poland. It features a collection of peer-reviewed research papers by recognized experts highlighting recent advances in fields of Herbert Amann's interest such as nonlinear evolution equations, fluid dynamics, quasi-linear parabolic equations and systems, functional analysis, and more.
Author(s): Helmut Abels (auth.), Joachim Escher, Patrick Guidotti, Matthias Hieber, Piotr Mucha, Jan W. Prüss, Yoshihiro Shibata, Gieri Simonett, Christoph Walker, Wojciech Zajaczkowski (eds.)
Series: Progress in Nonlinear Differential Equations and Their Applications 80
Edition: 1
Publisher: Birkhäuser Basel
Year: 2011
Language: English
Pages: 717
Tags: Partial Differential Equations
Front Matter....Pages i-xii
Double Obstacle Limit for a Navier-Stokes/Cahn-Hilliard System....Pages 1-20
Flows of Generalized Oldroyd-B Fluids in Curved Pipes....Pages 21-43
Remarks on Maximal Regularity....Pages 45-55
On the Classical Solvability of Boundary Value Problems for Parabolic Equations with Incompatible Initial and Boundary Data....Pages 57-80
On the Maxwell-Stefan Approach to Multicomponent Diffusion....Pages 81-93
Global Existence vs. Blowup in a One-dimensional Smoluchowski-Poisson System....Pages 95-109
Perturbation Results for Multivalued Linear Operators....Pages 111-130
Semilinear Stochastic Integral Equations in L p ....Pages 131-166
On the Motion of Several Rigid Bodies in an Incompressible Viscous Fluid under the Influence of Selfgravitating Forces....Pages 167-192
Geometric Aspects of the Periodic μ-Degasperis-Procesi Equation....Pages 193-209
Global Leray-Hopf Weak Solutions of the Navier-Stokes Equations with Nonzero Time-dependent Boundary Values....Pages 211-232
Time and Norm Optimality of Weakly Singular Controls....Pages 233-249
Asymptotic Behavior of a Leray Solution around a Rotating Obstacle....Pages 251-266
A Remark on Maximal Regularity of the Stokes Equations....Pages 267-274
On Linear Elliptic and Parabolic Problems in Nikol’skij Spaces....Pages 275-300
Parabolic Equations in Anisotropic Orlicz Spaces with General N -functions....Pages 301-311
Maximal Parabolic Regularity for Divergence Operators on Distribution Spaces....Pages 313-341
On the Relation Between the Large Time Behavior of the Stokes Semigroup and the Decay of Steady Stokes Flow at Infinity....Pages 343-355
Well-posedness and Exponential Decay for the Westervelt Equation with Inhomogeneous Dirichlet Boundary Data....Pages 357-387
On Divergence Form Second-order PDEs with Growing Coefficients in W 1 p Spaces without Weights....Pages 389-414
Global Properties of Transition Kernels Associated with Second-order Elliptic Operators....Pages 415-432
Metric-induced Morphogenesis and Non-Euclidean Elasticity: Scaling Laws and Thin Film Models....Pages 433-445
Compactness and Asymptotic Behavior in Nonautonomous Linear Parabolic Equations with Unbounded Coefficients in ℝ d ....Pages 447-461
Gradient Estimates and Domain Identification for Analytic Ornstein-Uhlenbeck Operators....Pages 463-477
R -sectoriality of Cylindrical Boundary Value Problems....Pages 479-505
Analytic Solutions for the Two-phase Navier-Stokes Equations with Surface Tension and Gravity....Pages 507-540
On Conserved Penrose-Fife Type Models....Pages 541-576
The Asymptotic Profile of Solutions of a Class of Singular Parabolic Equations....Pages 577-589
Linearized Stability for Nonlinear Partial Differential Delay Equations....Pages 591-607
Stochastic Equations with Boundary Noise....Pages 609-629
A Note on Necessary Conditions for Blow-up of Energy Solutions to the Navier-Stokes Equations....Pages 631-645
Local Solvability of Free Boundary Problems for the Two-phase Navier-Stokes Equations with Surface Tension in the Whole Space....Pages 647-686
Inversion of the Lagrange Theorem in the Problem of Stability of Rotating Viscous Incompressible Liquid....Pages 687-704
Questions of Stability for a Parabolic-hyperbolic System....Pages 705-717
