6533b836fe1ef96bd12a0c06
RESEARCH PRODUCT
Thermal solitons along wires with flux-limited lateral exchange
J. BafaluyF. X. AlvarezMichele SciaccaDavid JouDavid Jousubject
PhysicsHeat waves. Thermal solitons. Heat flux saturation. Maxwell-Cattaneo law. Radiative transfer. Auxiliary equation method. Flux limiters.media_common.quotation_subjectElliptic functionStatistical and Nonlinear PhysicsContext (language use)MechanicsInertiaThermal conductionNonlinear systemHeat transferRadiative transferCylinderMathematical Physicsmedia_commondescription
We obtain some exact solutions in the context of solitons, for heat conduction with inertia along a cylinder whose heat exchange with the environment is a non-linear function of the difference of temperatures of the cylinder and the environment, due to a flux-limiter behavior of the exchange. We study the consequences of heat transfer and information transfer along the wire, and we compare the situation with analogous solitons found in nonlinear lateral radiative exchange studied in some previous papers. We also find further exact solutions in terms of Weierstrass elliptic functions for the sake of completeness.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2021-10-01 |