Weak asymptotic methods for 3-D self-gravitating pressureless fluids. Application to the creation and evolution of solar systems from the fully nonlinear Euler-Poisson equations

DOI10.1063/1.4922318zbMath1321.83027arXiv1401.0309OpenAlexW2147770897MaRDI QIDQ5264390

Mathilde Colombeau

Publication date: 27 July 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.0309

zbMATH Keywords

Banach spacesolar systemEuler-Poisson equationself-gravitating pressureless fluidsWeak asymptotic method

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Linear ordinary differential equations and systems (34A30) Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55) Banach spaces of continuous, differentiable or analytic functions (46E15) Galactic and stellar dynamics (85A05) Computational methods for problems pertaining to relativity and gravitational theory (83-08) Euler-Poisson-Darboux equations (35Q05)

Related Items (7)

Radially symmetric shadow wave solutions to the system of pressureless gas dynamics in arbitrary dimensions ⋮ Asymptotic study of the initial value problem to a standard one pressure model of multifluid flows in nondivergence form ⋮ Approximate solutions to the initial value problem for some compressible flows ⋮ Weak asymptotic solutions and their Radon measure limits for the compressible Euler equations ⋮ Approximation of entropy solutions to degenerate nonlinear parabolic equations ⋮ Weak asymptotic methods for scalar equations and systems ⋮ Radon measures as solutions of the Cauchy problem for evolution equations

Cites Work

• The Riemann problem admitting \(\delta-, \delta ^{\prime }\)-shocks, and vacuum states (the vanishing viscosity approach)
• Approximate solutions to the initial value problem for some compressible flows
• Delta shock wave formation in the case of triangular hyperbolic system of conservation laws
• Infinite-dimensional dynamical systems in mechanics and physics
• Dynamics of propagation and interaction of \(\delta\)-shock waves in conservation law systems
• Generalized variational principles, global weak solutions and behavior with random initial data for systems of conservation laws arising in adhesion particle dynamics
• A simple numerical scheme for the 3-D system of ideal gases and a study of approximation in the sense of distributions
• \(\delta ^{\prime }\)-shock waves as a new type of solutions to systems of conservation laws
• A Method of Projection of Delta Waves in a Godunov Scheme and Application to Pressureless Fluid Dynamics
• Mass, momentum and energy conservation laws in zero-pressure gas dynamics and δ-shocks: II
• Mass, momentum and energy conservation laws in zero-pressure gas dynamics and delta-shocks
• $ \delta$- and $ \delta'$-shock wave types of singular solutions of systems of conservation laws and transport and concentration processes
• Pressureless Euler/Euler–Poisson Systems via Adhesion Dynamics and Scalar Conservation Laws
• Numerical Approximations of Pressureless and Isothermal Gas Dynamics
• The Gravitational Million–Body Problem
• Cosmological Physics
• A consistent numerical scheme for self‐gravitating fluid dynamics
• A New Sticky Particle Method for Pressureless Gas Dynamics
• THE DYNAMICS OF PRESSURELESS DUST CLOUDS AND DELTA WAVES
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