Spherically symmetric solutions of multidimensional zero-pressure gas dynamics system

DOI10.1142/S0219891614500088zbMath1308.35133arXiv1301.0071MaRDI QIDQ3190175

K. T. Joseph, Anupam Pal Choudhury, Manas Ranjan Sahoo

Publication date: 16 September 2014

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.0071

zbMATH Keywords

spherical symmetrygas dynamicsexplicit formulaadhesion approximationzero-pressure

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Shocks and singularities for hyperbolic equations (35L67) PDEs in connection with fluid mechanics (35Q35) First-order nonlinear hyperbolic equations (35L60)

Related Items (8)

A triangle-based positive semi-discrete Lagrangian-Eulerian scheme via the weak asymptotic method for scalar equations and systems of hyperbolic conservation laws ⋮ Approximate solutions to the initial value problem for some compressible flows ⋮ Initial value problem for the nonconservative zero-pressure gas dynamics system ⋮ Approximation of entropy solutions to degenerate nonlinear parabolic equations ⋮ Weak asymptotic methods for scalar equations and systems ⋮ Theoretical developments in the study of partial differential equations ⋮ Solution of a transport equation with discontinuous coefficients ⋮ Radon measures as solutions of the Cauchy problem for evolution equations

Cites Work

• Some exact solutions of the 3-dimensional zero-pressure gas dynamics system
• Explicit formula for the solution of convex conservation laws with boundary condition
• First order quasilinear equations with boundary conditions
• Hyperbolic systems of conservation laws II
• Exact Solutions of Compressible Flow Equations with Spherical Symmetry
• $ \delta$- and $ \delta'$-shock wave types of singular solutions of systems of conservation laws and transport and concentration processes
• Burger's equation in the quarter plane, a formula for the weak limit
• Initial Boundary Value Problems for Scalar and Vector Burgers Equations
• The partial differential equation u_t + uu_x = μ_xx
• Spherically symmetric solutions of the equations of gas dynamics
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