Weak asymptotic methods for scalar equations and systems
type: Item
instance of: scholarly article
title: Weak asymptotic methods for scalar equations and systems
zbMATH Open document ID: 1347.35081
author: Eduardo Abreu
author: Mathilde Colombeau
author: Evgeniy Panov
published in: Journal of Mathematical Analysis and Applications
publication date: 2016-08-18T00:00:00Z
Mathematics Subject Classification ID: 35F25
Mathematics Subject Classification ID: 35L65
Mathematics Subject Classification ID: 35A10
Mathematics Subject Classification ID: 35R05
zbMATH DE Number: 6618082
zbMATH Keywords: Maslov asymptotic analysis
zbMATH Keywords: discontinuous nonlinearity
MaRDI profile type: Publication
full work available at URL: j.jmaa.2016.06.047
OpenAlex ID: W2474172603
cites work: Numerical modelling of three-phase immiscible flow in heterogeneous porous media with gravitational effects
cites work: OPTIMAL ENTROPY SOLUTIONS FOR CONSERVATION LAWS WITH DISCONTINUOUS FLUX-FUNCTIONS
cites work: Construction of global-in-time solutions to Kolmogorov-Feller pseudodifferential equations with a small parameter using characteristics
cites work: Q5392431
cites work: New approaches to describing admissibility of solutions of scalar conservation laws with discontinuous flux
cites work: Vanishing capillarity solutions of Buckley-Leverett equation with gravity in two-rocks' medium
cites work: A phase-by-phase upstream scheme that converges to the vanishing capillarity solution for countercurrent two-phase flow in two-rock media
cites work: The Semigroup Approach to Conservation Laws with Discontinuous Flux
cites work: A theory of \(L ^{1}\)-dissipative solvers for scalar conservation laws with discontinuous flux
cites work: Entropy conditions for scalar conservation laws with discontinuous flux revisited
cites work: Capillary instability in models for three-phase flow
cites work: Central schemes and systems of conservation laws with discontinuous coefficients modeling gravity separation of polydisperse suspensions.
cites work: Vanishing viscosity solutions of nonlinear hyperbolic systems
cites work: Q5428558
cites work: Well-posedness in \(BV_t\) and convergence of a difference scheme for continuous sedimentation in ideal clarifier-thickener units
cites work: On the effects of discontinuous capillarities for immiscible two-phase flows in porous media made of several rock-types
cites work: Asymptotic Behavior of Two-Phase Flows in Heterogeneous Porous Media for Capillarity Depending Only on Space. II. Nonclassical Shocks to Model Oil-Trapping
cites work: Remarks on the contributions of Constantine M. Dafermos to the subject of conservation laws
cites work: Spherically symmetric solutions of multidimensional zero-pressure gas dynamics system
cites work: A Method of Projection of Delta Waves in a Godunov Scheme and Application to Pressureless Fluid Dynamics
cites work: A consistent numerical scheme for self‐gravitating fluid dynamics
cites work: A simple numerical scheme for the 3-D system of ideal gases and a study of approximation in the sense of distributions
cites work: Irregular shock waves formation as continuation of analytic solutions
cites work: 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
cites work: Approximate solutions to the initial value problem for some compressible flows
cites work: A numerical scheme for singular shock solutions and a study of its consistence in the sense of distributions
cites work: Asymptotic study of the initial value problem to a standard one pressure model of multifluid flows in nondivergence form
cites work: Kinetic Formulation and Uniqueness for Scalar Conservation Laws with Discontinuous Flux
cites work: Weak asymptotic solution of phase-field system in the case of confluence of free boundaries in the Stefan problem with underheating
cites work: Delta shock wave formation in the case of triangular hyperbolic system of conservation laws
cites work: Shock wave formation process for a multidimensional scalar conservation law
cites work: Weak asymptotics method and the interaction of infinitely narrow \(\delta\)-solitons.
cites work: Q4444827
cites work: Dynamics of propagation and interaction of \(\delta\)-shock waves in conservation law systems
cites work: Q4424636
cites work: A conservation Law with Point Source and Discontinuous Flux Function Modelling Continuous Sedimentation
cites work: A Quasi-linear Parabolic System for Three-Phase Capillary Flow in Porous Media
cites work: Initial Boundary Value Problems for a Quasi-linear Parabolic System in Three-Phase Capillary Flow in Porous Media
cites work: A Mathematical Model of Traffic Flow on a Network of Unidirectional Roads
cites work: Boundary Riemann problem for the one-dimensional adhesion model
cites work: Solving the Buckley-Leverett equation with gravity in a heterogeneous porous medium
cites work: Unconditionally stable methods for Hamilton-Jacobi equations
cites work: Convergence of the Lax-Friedrichs scheme and stability for conservation laws with a discontinuous space-time dependent flux
cites work: Change of type in three-phase flow: A simple analogue
cites work: Admissibility Conditions for Shocks in Conservation Laws that Change Type
cites work: Q3354327
cites work: Q4309797
cites work: A Geometric Theory of Conservation Laws which Change Type: Plenary Lecture held at the Annual GAMM Conference at Braunschweig, Germany, April 4‐9, 1994
cites work: A geometric study of shocks in equations that change type
cites work: Lack of hyperbolicity in the two-fluid model for two-phase incompressible flow
cites work: FIRST ORDER QUASILINEAR EQUATIONS IN SEVERAL INDEPENDENT VARIABLES
cites work: Q4889859
cites work: On the upstream mobility scheme for two-phase flow in porous media
cites work: A note on a theorem of Nirenberg
cites work: Viscosity Solutions and Convergence of Monotone Schemes for Synthetic Aperture Radar Shape-from-Shading Equations with Discontinuous Intensities
cites work: On generalized entropy solutions of the Cauchy problem for a first-order quasilinear equation in the class of locally summable functions
cites work: \(\delta ^{\prime }\)-shock waves as a new type of solutions to systems of conservation laws
cites work: The Riemann problem admitting \(\delta-, \delta ^{\prime }\)-shocks, and vacuum states (the vanishing viscosity approach)
cites work: $ \delta$- and $ \delta'$-shock wave types of singular solutions of systems of conservation laws and transport and concentration processes
cites work: Instability of Riemann solutions to a scalar conservation law with discontinuous flux
cites work: New developments of delta shock waves and its applications in systems of conservation laws

Weak asymptotic methods for scalar equations and systems (DOI)
DOI: 10.1016/J.JMAA.2016.06.047