Reciprocal transformations in relativistic gasdynamics. Lie group connections

Classical and relativistic thermodynamics (80A10) Special relativity (83A05) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Kinetic theory of gases in equilibrium statistical mechanics (82B40)

Cites Work

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On a class of reciprocal Stefan moving boundary problems
On invariance in \(1+1\)-dimensional isentropic relativistic gasdynamics
On a nonlinear moving boundary problem with heterogeneity: Application of a reciprocal transformation
Bäcklund transformations and their applications
On the equations of ideal-gas dynamics with a separable equation of state: Lie group analysis and substitution principles
On a class of moving boundary problems in non-linear heat conduction: application of a Bäcklund transformation
On an integrable deformed affinsphären equation. A reciprocal gasdynamic connection
Reciprocal transformations, Painlevé property and solutions of energy-dependent Schrödinger hierarchies.
On transport through heterogeneous media: application of conjugated reciprocal transformations
On Stefan-type moving boundary problems with heterogeneity: canonical reduction via conjugation of reciprocal transformations
Two new supersymmetric equations of harry dym type and their supersymmetric reciprocal transformations
Evolution of methacrylate distribution during wood saturation
Reciprocal relations in non-steady one-dimensional gasdynamics
Invariant transformations in non-steady gasdynamics and magneto- gasdynamics
The construction of invariant transformations in plane rotational gasdynamics
Two-dimensional subsonic flow of compressible fluids.
The lift and drag functions for an elastic fluid in two\-dimensional irrotational flow.
Generation of solutions of systems of partial differential equations by composition of infinitesimal Bäcklund transformations
The abundant symmetry structure of hierarchies of nonlinear equations obtained by reciprocal links
On Tzitzéica Vortex Streets and Their Reciprocals in Subsonic Gas Dynamics
Application of a reciprocal transformation to a two-phase Stefan problem
Reciprocal-type transformations in magnetogasdynamics
Applications of invariant transformations in one-dimensional non-steady gasdynamics
Large amplitude waves in bounded media II. The deformation of an impulsively loaded slab: the first reflexion
GAUGE TRANSFORMATIONS AND RECIPROCAL LINKS IN 2 + 1 DIMENSIONS
The affinspharen equation. Moutard and Backlund transformations
On reciprocal properties of the Caudrey-Dodd-Gibbon and Kaup-Kupershmidt hierarchies
On Reciprocal Bäcklund Transformations and the Korteweg-deVries Hierarchy
On Reciprocal Bäcklund Transformations of Inverse Scattering Schemes
On generalized Loewner systems: Novel integrable equations in 2+1 dimensions
On relativistic gasdynamics: invariance under a class of reciprocal-type transformations and integrable Heisenberg spin connections
Substitution principles in nonsteady magneto-gasdynamics
Exact solutions to the ideal magneto-gas-dynamics equations through Lie group analysis and substitution principles
A Note on the Substitution Principle for Steady Gas Flow
Heat Conduction in Simple Metals

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