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Minimum free energy in the frequency domain for a heat conductor with memory
1.  Department of Applied Mathematics "U. Dini”, via Diotisalvi 2, 56126Pisa, Italy 
2.  Department of Mathematics, Piazza di Porta S. Donato 5, 40127Bologna, Italy 
3.  School of Mathematical Sciences, Dublin Institute of Technology, Kevin Street, Dublin 8, Ireland 
[1] 
Sandra Carillo, Vanda Valente, Giorgio Vergara Caffarelli. Heat conduction with memory: A singular kernel problem. Evolution Equations and Control Theory, 2014, 3 (3) : 399410. doi: 10.3934/eect.2014.3.399 
[2] 
Corrado Mascia. Stability analysis for linear heat conduction with memory kernels described by Gamma functions. Discrete and Continuous Dynamical Systems, 2015, 35 (8) : 35693584. doi: 10.3934/dcds.2015.35.3569 
[3] 
Aymen Jbalia. On a logarithmic stability estimate for an inverse heat conduction problem. Mathematical Control and Related Fields, 2019, 9 (2) : 277287. doi: 10.3934/mcrf.2019014 
[4] 
Xueke Pu, Boling Guo. Global existence and semiclassical limit for quantum hydrodynamic equations with viscosity and heat conduction. Kinetic and Related Models, 2016, 9 (1) : 165191. doi: 10.3934/krm.2016.9.165 
[5] 
Micol Amar, Roberto Gianni. LaplaceBeltrami operator for the heat conduction in polymer coating of electronic devices. Discrete and Continuous Dynamical Systems  B, 2018, 23 (4) : 17391756. doi: 10.3934/dcdsb.2018078 
[6] 
Claudio Giorgi, Diego Grandi, Vittorino Pata. On the GreenNaghdi Type III heat conduction model. Discrete and Continuous Dynamical Systems  B, 2014, 19 (7) : 21332143. doi: 10.3934/dcdsb.2014.19.2133 
[7] 
Xiaoliang Li, Cong Wang. An optimization problem in heat conduction with volume constraint and double obstacles. Discrete and Continuous Dynamical Systems, 2022 doi: 10.3934/dcds.2022084 
[8] 
Fabio Camilli, Raul De Maio. Memory effects in measure transport equations. Kinetic and Related Models, 2019, 12 (6) : 12291245. doi: 10.3934/krm.2019047 
[9] 
Sergei A. Avdonin, Sergei A. Ivanov, JunMin Wang. Inverse problems for the heat equation with memory. Inverse Problems and Imaging, 2019, 13 (1) : 3138. doi: 10.3934/ipi.2019002 
[10] 
Eric Goles, Pedro Montealegre, Martín RíosWilson. On the effects of firing memory in the dynamics of conjunctive networks. Discrete and Continuous Dynamical Systems, 2020, 40 (10) : 57655793. doi: 10.3934/dcds.2020245 
[11] 
Yueling Li, Yingchao Xie, Xicheng Zhang. Large deviation principle for stochastic heat equation with memory. Discrete and Continuous Dynamical Systems, 2015, 35 (11) : 52215237. doi: 10.3934/dcds.2015.35.5221 
[12] 
Fulvia Confortola, Elisa Mastrogiacomo. Optimal control for stochastic heat equation with memory. Evolution Equations and Control Theory, 2014, 3 (1) : 3558. doi: 10.3934/eect.2014.3.35 
[13] 
Tomás Caraballo, José Real, I. D. Chueshov. Pullback attractors for stochastic heat equations in materials with memory. Discrete and Continuous Dynamical Systems  B, 2008, 9 (3&4, May) : 525539. doi: 10.3934/dcdsb.2008.9.525 
[14] 
M. Carme Leseduarte, Ramon Quintanilla. PhragménLindelöf alternative for an exact heat conduction equation with delay. Communications on Pure and Applied Analysis, 2013, 12 (3) : 12211235. doi: 10.3934/cpaa.2013.12.1221 
[15] 
Akram Ben Aissa. Wellposedness and direct internal stability of coupled nondegenrate Kirchhoff system via heat conduction. Discrete and Continuous Dynamical Systems  S, 2022, 15 (5) : 983993. doi: 10.3934/dcdss.2021106 
[16] 
Xin Zhong. Singularity formation to the twodimensional nonbarotropic nonresistive magnetohydrodynamic equations with zero heat conduction in a bounded domain. Discrete and Continuous Dynamical Systems  B, 2020, 25 (3) : 10831096. doi: 10.3934/dcdsb.2019209 
[17] 
Zhiqiang Yang, Junzhi Cui, Qiang Ma. The secondorder twoscale computation for integrated heat transfer problem with conduction, convection and radiation in periodic porous materials. Discrete and Continuous Dynamical Systems  B, 2014, 19 (3) : 827848. doi: 10.3934/dcdsb.2014.19.827 
[18] 
Michela Eleuteri, Luca Lussardi, Ulisse Stefanelli. A rateindependent model for permanent inelastic effects in shape memory materials. Networks and Heterogeneous Media, 2011, 6 (1) : 145165. doi: 10.3934/nhm.2011.6.145 
[19] 
Keng Deng, Zhihua Dong. Blowup for the heat equation with a general memory boundary condition. Communications on Pure and Applied Analysis, 2012, 11 (5) : 21472156. doi: 10.3934/cpaa.2012.11.2147 
[20] 
Shuji Yoshikawa, Irena Pawłow, Wojciech M. Zajączkowski. A quasilinear thermoviscoelastic system for shape memory alloys with temperature dependent specific heat. Communications on Pure and Applied Analysis, 2009, 8 (3) : 10931115. doi: 10.3934/cpaa.2009.8.1093 
2021 Impact Factor: 1.497
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