About: Conservation laws

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Attributs	Valeurs
type	Concept
skos:inScheme	MSC 2010
broader concept	Hyperbolic equations and systems
skos:prefLabel	Conservation laws Leggi di conservazione 守恒律
skos:exactMatch	http://msc2010.org/resources/MSC/1991/35L65 http://msc2010.org/resources/MSC/2000/35L65
skos:notation	35L65
is rdfs:seeAlso of	Existence, uniqueness, and regularity theory
is Subject of	Green's function pointwise estimates for the modified Lax-Friedrichs scheme A note on (2K+1)-point conservative monotone schemes On the connection between some Riemann-solver free approaches to the approximation of multi-dimensional systems of hyperbolic conservation laws Reduced basis techniques for nonlinear conservation laws Some new results in multiphase geometrical optics Central-Upwind Schemes for the Saint-Venant System Qualitative behaviour and numerical approximation of solutions to conservation laws with non-local point constraints on the flux and modeling of crowd dynamics at the bottlenecks Convergence of fully discrete schemes for diffusive dispersive conservation laws with discontinuous coefficient Analysis of Synchronization in a Neural Population by a Population Density Approach Obstacle problems for scalar conservation laws Numerical flux-splitting for a class of hyperbolic systems with unilateral constraint A central scheme for shallow water flows along channels with irregular geometry Second-order MUSCL schemes based on Dual Mesh Gradient Reconstruction (DMGR) Monotone ( A,B) entropy stable numerical scheme for Scalar Conservation Laws with discontinuous flux Convergence of implicit Finite Volume methods for scalar conservation laws with discontinuous flux function Interface tracking method for compressible multifluids Equivalence of gradient flows and entropy solutions for singular nonlocal interaction equations in 1D Convergent finite element discretizations of the Navier-Stokes-Nernst-Planck-Poisson system On the convergence rate of finite difference methods for degenerate convection-diffusion equations in several space dimensions A conservative slide line method for cell-centered semi-Lagrangian and ALE schemes in 2D On the attainable set for scalar balance laws with distributed control The minimum entropy principle for compressible fluid flows in a nozzle with discontinuous cross-section Fully adaptive multiresolution schemes for strongly degenerate parabolic equations in one space dimension A convergence result for finite volume schemes on Riemannian manifolds Interface model coupling via prescribed local flux balance Constraint preserving schemes using potential-based fluxes. III. Genuinely multi-dimensional schemes for MHD equations Existence and Stability of Travelling Front Solutions for General Auto-catalytic Chemical Reaction Systems The approximate Riemann solver of Roe applied to a drift-flux two-phase flow model Stable upwind schemes for the magnetic induction equation On the modelling and management of traffic Accurate numerical discretizations of non-conservative hyperbolic systems A positivity preserving central scheme for shallow water flows in channels with wet-dry states On the Numerical Integration of Scalar Nonlocal Conservation Laws A two-fluid four-equation model with instantaneous thermodynamical equilibrium Nondiffusive conservative schemes based on approximate Riemann solvers for Lagrangian gas dynamics A new two-dimensional Shallow Water model including pressure effects and slow varying bottom topography The numerical interface coupling of nonlinear hyperbolic systems of conservation laws: II. The case of systems Energy stable and structure-preserving schemes for the stochastic Galerkin shallow water equations Attainable profiles for conservation laws with flux function spatially discontinuous at a single point Stabilization of port-Hamiltonian systems by nonlinear boundary control in the presence of disturbances Boundary controllability of a system modelling a partially immersed obstacle Up-wind difference approximation and singularity formation for a slow erosion model Well-posedness of a non-local model for material flow on conveyor belts A minimum entropy principle in the compressible multicomponent Euler equations Convergence of second-order, entropy stable methods for multi-dimensional conservation laws Geometrically intrinsic modeling of shallow water flows Numerical dissipation switch for two-dimensional central-upwind schemes Multilevel Monte Carlo finite volume methods for random conservation laws with discontinuous flux Strong bounded variation estimates for the multi-dimensional finite volume approximation of scalar conservation laws and application to a tumour growth model Asymptotic derivation and simulations of a non-local Exner model in large viscosity regime A central-upwind scheme for two-layer shallow-water flows with friction and entrainment along channels On the role of numerical viscosity in the study of the local limit of nonlocal conservation laws Network models for nonlocal traffic flow A LWR model with constraints at moving interfaces Well-balanced positivity preserving adaptive moving mesh central-upwind schemes for the Saint-Venant system Nonlinear lumped-parameter models for blood flow simulations in networks of vessels Coherence and flow-maximization of a one-way valve Adaptive physical-constraints-preserving unstaggered central schemes for shallow water equations on quadrilateral meshes A flux globalization based well-balanced path-conservative central-upwind scheme for the shallow water flows in channels A new two-dimensional blood flow model with arbitrary cross sections Riemann problem with delta initial data for the two-dimensional steady pressureless isentropic relativistic Euler equations Concentration and Cavitation in the Vanishing Pressure Limit of Solutions to a 3 × 3 Generalized Chaplygin Gas Equations The adiabatic exponent limits of Riemann solutions for the extended macroscopic production model Convergence of a second-order scheme for non-local conservation laws An analysis of the influence of data extrema on some first and second order central approximations of hyperbolic conservation laws Well-balanced positivity preserving central-upwind scheme on triangular grids for the Saint-Venant system Finite volume schemes for a nonlinear hyperbolic equation. Convergence towards the entropy solution and error estimate Adaptive Finite Element Relaxation Schemes for Hyperbolic Conservation Laws The Child-Langmuir limit for semiconductors: a numerical validation Compressible two-phase flows by central and upwind schemes Hybrid central-upwind schemes for numerical resolution of two-phase flows The dispersive wave dynamics of a two-phase flow relaxation model Regularity in kinetic formulations via averaging lemmas Control of the continuity equation with a non local flow Convergence of finite difference schemes for viscous and inviscid conservation laws with rough coefficients On the Computation of Roll Waves A steady-state capturing method for hyperbolic systems with geometrical source terms The correct use of the Lax-Friedrichs method Variational particle schemes for the porous medium equation and for the system of isentropic Euler equations Local exact boundary controllability of entropy solutions to linearly degenerate quasilinear hyperbolic systems of conservation laws , Macroscopic limit of the Becker-Döring equation via gradient flows Global entropy weak solutions for general non-local traffic flow models with anisotropic kernel A difference scheme for a degenerating convection-diffusion-reaction system modelling continuous sedimentation Generalized wave propagation problems and discrete exterior calculus Modelling and numerical approximation for the nonconservative bitemperature Euler model Large time step HLL and HLLC schemes Congested shallow water model: roof modeling in free surface flow Stability analysis and error estimates of arbitrary Lagrangian-Eulerian discontinuous Galerkin method coupled with Runge-Kutta time-marching for linear conservation laws Representation of capacity drop at a road merge via point constraints in a first order traffic model Towards a new friction model for shallow water equations through an interactive viscous layer

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