Mathematik und Statistikhttps://kops.uni-konstanz.de:443/handle/123456789/82022-12-06T12:08:21Z2022-12-06T12:08:21ZDecay for thermoelastic Green-Lindsay plates in bounded and unbounded domainsQuintanilla, RamónRacke, Reinhardpop03677Ueda, Yoshihiropop507668123456789/47413.22022-12-01T03:49:27Z2015-01-08Decay for thermoelastic Green-Lindsay plates in bounded and unbounded domains
Quintanilla, Ramón; Racke, Reinhard; Ueda, Yoshihiro
We consider equations describing the thermoelastic behavior of plates modeled in the Green-Lindsay sense. This is done with two different type of couplings of the fourth-order plate Kirchhoff-type plate equation to a second-order heat equation of Cattaneo type, once of second, and once of first order. We investigate both systems for bounded domains and for the Cauchy problem, asking for exponential stability in bounded domains resp. polynomial decay rates for the Cauchy problem. It turns out that one system is exponentially stable, while the other is not, and that, in correspondence, one does not have and the other one has regularity loss in the Cauchy problem. This provides a new interesting example where the different couplings lead to qualitatively different behavior, as known before for classical thermoelastic plates, for Timoshenko systems, for porous elasticity or for plates with two temperatures, with Fourier resp. Cattaneo heat conduction. The optimality of the decay rates obtained is also proved.
2015-01-08Quintanilla, RamónRacke, ReinhardUeda, Yoshihiro510We consider equations describing the thermoelastic behavior of plates modeled in the Green-Lindsay sense. This is done with two different type of couplings of the fourth-order plate Kirchhoff-type plate equation to a second-order heat equation of Cattaneo type, once of second, and once of first order. We investigate both systems for bounded domains and for the Cauchy problem, asking for exponential stability in bounded domains resp. polynomial decay rates for the Cauchy problem. It turns out that one system is exponentially stable, while the other is not, and that, in correspondence, one does not have and the other one has regularity loss in the Cauchy problem. This provides a new interesting example where the different couplings lead to qualitatively different behavior, as known before for classical thermoelastic plates, for Timoshenko systems, for porous elasticity or for plates with two temperatures, with Fourier resp. Cattaneo heat conduction. The optimality of the decay rates obtained is also proved.American Institute of Mathematical Sciences (AIMS)JOURNAL_ARTICLEeng10.3934/cpaa.20221491534-03921553-525883Communications on Pure and Applied Analysis (CPAA)2022-11-28T13:25:45+01:00123456789/39Communications on Pure and Applied Analysis (CPAA) ; 8 (2015), 3. - American Institute of Mathematical Sciences (AIMS). - ISSN 1534-0392. - eISSN 1553-5258true2022-11-28T12:25:45ZtrueGram spectrahedra of ternary quarticsVill, Julianpop238939123456789/592762022-11-26T04:00:27Z2023Gram spectrahedra of ternary quartics
Vill, Julian
2023Vill, Julian510ElsevierJOURNAL_ARTICLEeng10.1016/j.jsc.2022.10.0040747-71711095-855X263283116Journal of Symbolic Computation2022-11-25T08:59:55+01:00123456789/39Journal of Symbolic Computation ; 116 (2023). - S. 263-283. - Elsevier. - ISSN 0747-7171. - eISSN 1095-855Xunknown2022-11-25T07:59:55ZScale-Induced Closure for Approximations of Kinetic EquationsTorrilhon, ManuelKauf, PeterLevermore, C. DavidJunk, Michaelpop92348Abe, Takashi123456789/591932022-11-19T04:00:22Z2009Scale-Induced Closure for Approximations of Kinetic Equations
Torrilhon, Manuel; Kauf, Peter; Levermore, C. David; Junk, Michael
2009Torrilhon, ManuelKauf, PeterLevermore, C. DavidJunk, Michael510American Institute of PhysicsAbe, TakashiINPROCEEDINGSengAIP conference proceedings1084978-0-7354-0615-50094-243X1551-7616123128Rarefied gas dynamics : 26th International Symposium on Rarefied Gas Dynamics, RGD 26, Kyoto, Japan, 20 - 25 July 20082022-11-18T13:51:17+01:00123456789/39Rarefied gas dynamics : 26th International Symposium on Rarefied Gas Dynamics, RGD 26, Kyoto, Japan, 20 - 25 July 2008 / Abe, Takashi (Hrsg.). - Melville, NY : American Institute of Physics, 2009. - (AIP conference proceedings ; 1084). - S. 123-128. - ISSN 0094-243X. - eISSN 1551-7616. - ISBN 978-0-7354-0615-5Kyoto, Japan2008-07-20Melville, NY26th International Symposium on Rarefied Gas Dynamics, RGD 262008-07-252022-11-18T12:51:17ZProjective Duals of Smooth Cubic CurvesWeigert, Julianpop520796123456789/591752022-11-18T04:00:22Z2022Projective Duals of Smooth Cubic Curves
Weigert, Julian
2022Weigert, Julian510BSC_THESISurn:nbn:de:bsz:352-2-1bchlno02je160eng2022-11-17T08:03:13+01:00123456789/392022-11-17T07:03:13Z