Systems of conservation laws

URI: https://gptkb.org/entity/Systems_of_conservation_laws

GPTKB entity

Statements (49)

Predicate	Object
gptkbp:instanceOf	gptkb:mathematical_concept
gptkbp:application	acoustics astrophysics combustion engineering oceanography plasma physics material science aerodynamics traffic engineering weather modeling
gptkbp:describes	evolution of physical quantities
gptkbp:example	gptkb:Navier-Stokes_equations gptkb:Maxwell's_equations gptkb:Euler_equations gptkb:Shallow_water_equations
gptkbp:feature	shock waves contact discontinuities rarefaction waves
gptkbp:field	gptkb:mathematics applied mathematics partial differential equations
https://www.w3.org/2000/01/rdf-schema#label	Systems of conservation laws
gptkbp:mathematical_form	∂u/∂t + ∇·f(u) = 0
gptkbp:notableBook	gptkb:Hyperbolic_Systems_of_Conservation_Laws_and_the_Mathematical_Theory_of_Shock_Waves
gptkbp:notableContributor	gptkb:Peter_D._Lax gptkb:Constantine_M._Dafermos
gptkbp:property	conservation of energy conservation of momentum hyperbolic partial differential equations conservation of mass
gptkbp:relatedTo	gptkb:Cauchy_problem gptkb:Rankine–Hugoniot_conditions initial value problem weak solutions entropy condition
gptkbp:solvedBy	gptkb:Godunov's_method gptkb:Riemann_solvers finite volume methods shock capturing methods
gptkbp:studiedBy	gptkb:Peter_D._Lax gptkb:Sergio_Benenti
gptkbp:used_in	gptkb:continuum_mechanics fluid dynamics traffic flow modeling gas dynamics magnetohydrodynamics
gptkbp:bfsParent	gptkb:Lax,_P.D.;_Wendroff,_B._(1960)._'Systems_of_conservation_laws.'_Communications_on_Pure_and_Applied_Mathematics.
gptkbp:bfsLayer	7