Paper Search Console

Home Search Page About Contact

Journal Title

Title of Journal: Commun Math Phys

Search In Journal Title:

Abbravation: Communications in Mathematical Physics

Search In Journal Abbravation:

Publisher

Springer Berlin Heidelberg

Search In Publisher:

ISSN

1432-0916

Search In ISSN:
Search In Title Of Papers:

Nonlinear Asymptotic Stability of the LaneEmden S

Authors: Tao Luo Zhouping Xin Huihui Zeng
Publish Date: 2016/09/17
Volume: 347, Issue: 3, Pages: 657-702
PDF Link

Abstract

The nonlinear asymptotic stability of LaneEmden solutions is proved in this paper for spherically symmetric motions of viscous gaseous stars with the density dependent shear and bulk viscosities which vanish at the vacuum when the adiabatic exponent gamma lies in the stability regime 4/3 2 by establishing the globalintime regularity uniformly up to the vacuum boundary for the vacuum free boundary problem of the compressible NavierStokesPoisson systems with spherical symmetry which ensures the global existence of strong solutions capturing the precise physical behavior that the sound speed is C1/2Hölder continuous across the vacuum boundary the large time asymptotic uniform convergence of the evolving vacuum boundary density and velocity to those of LaneEmden solutions with detailed convergence rates and the detailed large time behavior of solutions near the vacuum boundary Those uniform convergence are of fundamental importance in the study of vacuum free boundary problems which are missing in the previous results for global weak solutions Moreover the results obtained in this paper apply to much broader cases of viscosities than those in Fang and Zhang Arch Ration Mech Anal 191195–243 2009 for the theory of weak solutions when the adiabatic exponent gamma lies in the most physically relevant range Finally this paper extends the previous localintime theory for strong solutions to a globalintime one

Keywords:

References

.
Search In Abstract Of Papers:
Other Papers In This Journal:
  1. Statistics of Wave Functions for a Point Scatterer on the Torus
  2. Hausdorff Dimension of Julia Sets of Feigenbaum Polynomials with High Criticality
  3. Stability and Duality in $${\mathcal{N}\,{=}\,2}$$ Supergravity
  4. Exponential Mixing for the 3 D Stochastic Navier–Stokes Equations
  5. Binding of Polarons and Atoms at Threshold
  6. Probabilistic Weyl Laws for Quantized Tori
  7. On Perturbations of the Schwarzschild Anti-De Sitter Spaces of Positive Mass
  8. Wall-Crossing, Free Fermions and Crystal Melting
  9. Standing Ring Blow up Solutions to the N-Dimensional Quintic Nonlinear Schrödinger Equation
  10. Laminar Boundary Layers in Convective Heat Transport
  11. There are no Magnetically Charged Particle-like Solutions of the Einstein Yang-Mills Equations for Models with an Abelian Residual Group
  12. Duality of 2D Gravity as a Local Fourier Duality
  13. Extended Scaling Relations for Planar Lattice Models
  14. Infinite-Dimensional Schur–Weyl Duality and the Coxeter–Laplace Operator
  15. Phase Boundaries in Algebraic Conformal QFT
  16. On the Singularity of the Free Energy at a First Order Phase Transition
  17. Free Analog of Pressure and Its Legendre Transform
  18. Continuity of the Lyapunov Exponents for Quasiperiodic Cocycles
  19. On the Correlation Function of the Characteristic Polynomials of the Hermitian Wigner Ensemble
  20. Stationary Random Metrics on Hierarchical Graphs Via $${(\min,+)}$$-type Recursive Distributional Equations
  21. Thermalization and Canonical Typicality in Translation-Invariant Quantum Lattice Systems
  22. Higgs Bundles and ( A , B , A )-Branes
  23. Inviscid Incompressible Limits of the Full Navier-Stokes-Fourier System
  24. Global Well-Posedness Issues for the Inviscid Boussinesq System with Yudovich’s Type Data
  25. Dispersive Estimates for Schrödinger Operators in Dimension Two
  26. A Monoidal Category for Perturbed Defects in Conformal Field Theory
  27. On Static Shells and the Buchdahl Inequality for the Spherically Symmetric Einstein-Vlasov System
  28. Holomorphic Factorization for a Quantum Tetrahedron
  29. High Energy Limits of Laplace-Type and Dirac-Type EigenFunctions and Frame Flows
  30. The Operator Product Expansion for Perturbative Quantum Field Theory in Curved Spacetime
  31. The Szegő Kernel on a Sewn Riemann Surface
  32. Wave Relations
  33. An Application of Mirror Extensions
  34. Diffusion in a Weakly Random Hamiltonian Flow
  35. Spherical T-Duality
  36. A Fuchsian Matrix Differential Equation for Selberg Correlation Integrals
  37. Lax Pair Equations and Connes-Kreimer Renormalization
  38. SNA’s in the Quasi-Periodic Quadratic Family
  39. On the Geometry of Closed G 2 -Structures
  40. Irreducible Characters of General Linear Superalgebra and Super Duality
  41. Connecting Solutions of the Lorentz Force Equation do Exist
  42. Toric G 2 and Spin (7) Holonomy Spaces from Gravitational Instantons and Other Examples
  43. The Smoluchowski-Kramers Limit of Stochastic Differential Equations with Arbitrary State-Dependent Friction
  44. Dirac Reduction for Poisson Vertex Algebras
  45. Dispersive Estimates for Schrödinger Equations with Threshold Resonance and Eigenvalue
  46. Multipermutation Solutions of the Yang–Baxter Equation
  47. The Shape of Expansion Induced by a Line with Fast Diffusion in Fisher-KPP Equations
  48. Quasicrystals and Almost Periodicity
  49. A Lower Bound on Blowup Rates for the 3D Incompressible Euler Equation and a Single Exponential Beale-Kato-Majda Type Estimate
  50. On the Weak Solutions to the Maxwell–Landau–Lifshitz Equations and to the Hall–Magneto–Hydrodynamic Equations
  51. Spin(7)-Instantons, Cayley Submanifolds and Fueter Sections
  52. Equivariant Comparison of Quantum Homogeneous Spaces
  53. Regular Strongly Typical Blocks of $${\mathcal{O}^{\mathfrak {q}}}$$
  54. Exponential Equations Related to the Quantum ‘ ax + b ’ Group
  55. Twisted Logarithmic Modules of Vertex Algebras
  56. Singular Continuous Spectrum for Singular Potentials
  57. How to Remove the Boundary in CFT – An Operator Algebraic Procedure
  58. Correlation Kernels for Discrete Symplectic and Orthogonal Ensembles
  59. Multidimensional Continued Fractions, Dynamical Renormalization and KAM Theory
  60. Twistor Theory on a Finite Graph
  61. Triangular Invariants, Three-Point Functions and Particle Stability on the de Sitter Universe
  62. On positive functionals on algebras of test functions for quantum fields
  63. Large Deviations for the Yang-Mills Measure on a Compact Surface
  64. Vanishing Viscosity Solutions of the Compressible Euler Equations with Spherical Symmetry and Large Initial Data
  65. Periodicity and the Determinant Bundle
Search Result: