scientific article; zbMATH DE number 3807048

zbMath0511.73027MaRDI QIDQ4749299

Carlo Cattaneo

Publication date: 1981

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

heat equationLaplace equationtransport equationslinearized equationsvibrating stringNavier equationgeneralized Riemann invariantslack of uniquenessnonlinear casecharacteristic manifoldsconditions of compatibilityadiabatic curves of Poissondiscontinuities of various order jumps acorss wave frontevolution of wave fronts in differential manifoldgeneralized Rankin- Hugoniot relationshomogeneous or notirrotational flows or notkinematics of wave frontsMaxwell equations for vacuumpropagation of discontinuities along raysquasi linear differential equations of second orderquasi linear systems of first orderspace-time of general relativitysystems involving two independent variablesthreedimensional wave equationweak solutions for systems of conservation laws

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65) Research exposition (monographs, survey articles) pertaining to mechanics of deformable solids (74-02) Compressible fluids and gas dynamics (76N99) Geometric theory, characteristics, transformations in context of PDEs (35A30) Waves in solid mechanics (74J99) Hyperbolic equations on manifolds (58J45)

Related Items (8)

Gravitational waves and discontinuous motions ⋮ Dynamical effects of gravitational shock waves ⋮ Dependence of the wave-front speeds on the propagation direction ⋮ Unnamed Item ⋮ Decomposition of derivatives and compatibility conditions ⋮ On the evolutions of the discontinuities of orders \(\geq m\) in solutions for quasi-linear systems of PDEs of order m, or for the linarizations of these systems ⋮ Exceptional waves in hyperelastic material under finite deformations ⋮ The mathematical theory of gravitational discontinuity hypersurfaces

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