TY - JOUR AU - Barna, I F AU - Kersner, Róbert TI - Heat conduction. A telegraph-type model with self-similar behavior of solutions II TS - A telegraph-type model with self-similar behavior of solutions II JF - ADVANCED STUDIES IN THEORETICAL PHYSICS J2 - ADV STUDIES VL - 5 PY - 2011 IS - 1-4 SP - 193 EP - 205 PG - 13 SN - 1313-1311 UR - https://m2.mtmt.hu/api/publication/1756137 ID - 1756137 AB - In our former study (J. Phys. A: Math. Theor. 43, (2010) 325210) we introduced a modified Fourier-Cattaneo law and derived a nonautonomous telegraph-type heat conduction equation which has desirable self-similar solution. Now we present a detailed in-depth analysis of this model and discuss additional analytic solutions for different parameters. The solutions have a very rich and interesting mathematical structure due to various special functions. LA - English DB - MTMT ER - TY - JOUR AU - Barna, Imre Ferenc AU - Kersner, Róbert TI - Heat conduction: a telegraph-type model with self-similar behavior of solutions JF - JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL J2 - J PHYS A-MATH THEOR VL - 43 PY - 2010 IS - 37 PG - 6 SN - 1751-8113 DO - 10.1088/1751-8113/43/37/375210 UR - https://m2.mtmt.hu/api/publication/1428953 ID - 1428953 LA - English DB - MTMT ER -