Weak Solution to Pressureless Type System
From MaRDI portal
Publication:4678924
DOI10.1081/PDE-200050026zbMath1074.35021MaRDI QIDQ4678924
Publication date: 23 May 2005
Published in: Communications in Partial Differential Equations (Search for Journal in Brave)
generalized characteristicsdelta wavegeneralized potentialpiecewise constant initial datapressureless type system
Hyperbolic conservation laws (35L65) Initial value problems for first-order hyperbolic systems (35L45) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)
Related Items
Singular solutions of a fully nonlinear 2 × 2 system of conservation laws ⋮ Existence of entropy solutions for nonsymmetric fractional systems ⋮ The Riemann problem admitting \(\delta-, \delta ^{\prime }\)-shocks, and vacuum states (the vanishing viscosity approach) ⋮ Radially symmetric shadow wave solutions to the system of pressureless gas dynamics in arbitrary dimensions ⋮ Riemann problem and wave interactions for a class of strictly hyperbolic systems of conservation laws ⋮ Initial-boundary value problem for 1D pressureless gas dynamics ⋮ Formation of delta shocks and vacuum states in the vanishing pressure limit of Riemann solutions to the perturbed Aw-Rascle model ⋮ Delta-shock waves and Riemann solutions to the generalized pressureless Euler equations with a composite source term ⋮ Formation of \(\delta\)-shock waves in isentropic fluids ⋮ The cavitation and concentration of Riemann solutions for the isentropic Euler equations with isothermal dusty gas ⋮ The asymptotic limits of solutions to the Riemann problem for the scaled leroux system ⋮ The Riemann problem for the one-dimensional isentropic Euler system under the body force with varying gamma law ⋮ Multiplication of distributions and a nonlinear model in elastodynamics ⋮ Singular shock waves in interactions ⋮ The exact Riemann solutions to the generalized Chaplygin gas equations with friction ⋮ The concentration and cavitation in the Riemann solution for non-homogeneous logrithmic equation of state with magnetic field ⋮ Interaction of Dirac \(\delta\)-waves in the nonlinear Klein-Gordon equation ⋮ The exact Riemann solutions to the generalized pressureless Euler equations with dissipation ⋮ Delta shocks interactions and the wave front tracking method ⋮ Existence of global bounded weak solutions to nonsymmetric systems of Keyfitz-Kranzer type ⋮ New δ-shock waves in the p-system: a distributional product approach ⋮ DELTA SHOCK WAVES AS A LIMIT OF SHOCK WAVES ⋮ Interactions of delta shock waves in a strictly hyperbolic system of conservation laws ⋮ Numerical verification of delta shock waves for pressureless gas dynamics ⋮ The Brio system with initial conditions involving Dirac masses: a result afforded by a distributional product ⋮ Concentration of mass in the pressureless limit of Euler equations for power law ⋮ The singular limits of solutions to the Riemann problem for the liquid–gas two-phase isentropic flow model ⋮ Riemann problems for a class of coupled hyperbolic systems of conservation laws with a source term ⋮ Explicit solution for a class of coupled hyperbolic systems of conservation laws ⋮ Linearization of the Riemann problem for a triangular system of conservation laws and delta shock wave formation process ⋮ A DISTRIBUTIONAL PRODUCT APPROACH TO δ-SHOCK WAVE SOLUTIONS FOR A GENERALIZED PRESSURELESS GAS DYNAMICS SYSTEM ⋮ Delta shock wave formation in the case of triangular hyperbolic system of conservation laws ⋮ Products of distributions, conservation laws and the propagation of \(\delta'\)-shock waves ⋮ Delta-shocks and vacuums as limits of flux approximation for the pressureless type system ⋮ Shadow waves: Entropies and interactions for delta and singular shocks ⋮ Concentration and cavitation phenomena of Riemann solutions for the isentropic Euler system with the logarithmic equation of state ⋮ Positivity-preserving numerical scheme for hyperbolic systems with \(\delta\)-shock solutions and its convergence analysis ⋮ The Multiplication of Distributions in the Study of a Riemann Problem in Fluid Dynamics ⋮ Delta shock solution for a generalized zero-pressure gas dynamics system with linear damping ⋮ Exact Riemann solutions for the drift-flux equations of two-phase flow under gravity ⋮ A surface flux correction-based immersed boundary-multiphase lattice Boltzmann flux solver applied to multiphase fluids-structure interaction ⋮ On vanishing pressure limit of continuous solutions to the isentropic Euler equations ⋮ The Riemann problem for the Brio system: a solution containing a Dirac mass obtained via a distributional product
Cites Work
- Unnamed Item
- On the Cauchy problem of transportation equations
- Generalized variational principles, global weak solutions and behavior with random initial data for systems of conservation laws arising in adhesion particle dynamics
- Sticky Particles and Scalar Conservation Laws
- A Solution with Bounded Expansion Rate to the Model of Viscous Pressureless Gases
- Duality solutions for pressureless gases, monotone scalar conservation laws, and uniqueness
- Well posedness for pressureless flow