Heat conduction with memory: A  singular  kernel problem

Sandra Carillo;  ; Vanda Valente; Giorgio Vergara Caffarelli;

doi:10.3934/eect.2014.3.399

Heat conduction with memory: A singular kernel problem

Evolution Equations and Control Theory ◽

10.3934/eect.2014.3.399 ◽

2014 ◽

Vol 3 (3) ◽

pp. 399-410 ◽

Cited By ~ 10

Author(s):

Sandra Carillo ◽

◽

Vanda Valente ◽

Giorgio Vergara Caffarelli ◽

Keyword(s):

Heat Conduction ◽

Singular Kernel ◽

Heat Conduction With Memory ◽

With Memory

Identification of a memory kernel in a semilinear integrodifferential parabolic problem with applications in heat conduction with memory

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2015.02.019 ◽

2015 ◽

Vol 289 ◽

pp. 196-207 ◽

Cited By ~ 7

Author(s):

K. Van Bockstal ◽

R.H. De Staelen ◽

M. Slodička

Keyword(s):

Heat Conduction ◽

Parabolic Problem ◽

Memory Kernel ◽

Heat Conduction With Memory ◽

With Memory

On a Class of First Order Evolution Inequalities Arising in Heat Conduction with Memory

SIAM Journal on Mathematical Analysis ◽

10.1137/0510105 ◽

1979 ◽

Vol 10 (6) ◽

pp. 1144-1160 ◽

Cited By ~ 2

Author(s):

J. Naumann

Keyword(s):

Heat Conduction ◽

First Order ◽

Heat Conduction With Memory ◽

With Memory

Existence, uniqueness and exponential decay: An evolution problem in heat conduction with memory

Quarterly of Applied Mathematics ◽

10.1090/s0033-569x-2011-01223-1 ◽

2011 ◽

Vol 69 (4) ◽

pp. 635-649 ◽

Cited By ~ 4

Author(s):

Sandra Carillo

Keyword(s):

Heat Conduction ◽

Exponential Decay ◽

Evolution Problem ◽

Heat Conduction With Memory ◽

With Memory

THERMOELASTICITY AND HEAT CONDUCTION WITH MEMORY EFFECTS

Journal of Thermal Stresses ◽

10.1080/01495738208942141 ◽

1982 ◽

Vol 5 (2) ◽

pp. 145-160 ◽

Cited By ~ 6

Author(s):

Albert Falques

Keyword(s):

Heat Conduction ◽

Memory Effects ◽

Heat Conduction With Memory ◽

With Memory

Propagation of nonlinear thermoelastic waves in porous media within the theory of heat conduction with memory: physical derivation and exact solutions

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.4055 ◽

2016 ◽

Vol 40 (4) ◽

pp. 1307-1315 ◽

Cited By ~ 1

Author(s):

Roberto Garra

Keyword(s):

Porous Media ◽

Heat Conduction ◽

Exact Solutions ◽

Heat Conduction With Memory ◽

Thermoelastic Waves ◽

With Memory

A Note on Heat Conduction With Memory

Journal of Applied Mechanics ◽

10.1115/1.3423142 ◽

1973 ◽

Vol 40 (4) ◽

pp. 1124-1125

Author(s):

F. R. Norwood

Keyword(s):

Heat Conduction ◽

Heat Conduction With Memory ◽

With Memory

Linear thermodynamic theory of heat conduction with memory

Journal of Engineering Physics ◽

10.1007/bf00825640 ◽

1984 ◽

Vol 46 (6) ◽

pp. 732-739 ◽

Cited By ~ 3

Author(s):

V. L. Kolpashchikov ◽

A. I. Shnip

Keyword(s):

Heat Conduction ◽

Thermodynamic Theory ◽

Heat Conduction With Memory ◽

With Memory ◽

Linear Thermodynamic

Stability analysis for linear heat conduction with memory kernels described by Gamma functions

Discrete and Continuous Dynamical Systems ◽

10.3934/dcds.2015.35.3569 ◽

2015 ◽

Vol 35 (8) ◽

pp. 3569-3584

Author(s):

Corrado Mascia ◽

Keyword(s):

Heat Conduction ◽

Stability Analysis ◽

Gamma Functions ◽

Linear Heat ◽

Heat Conduction With Memory ◽

With Memory

Asymptotic behavior of a semilinear problem in heat conduction with memory

Nonlinear Differential Equations and Applications NoDEA ◽

10.1007/s000300050049 ◽

1998 ◽

Vol 5 (3) ◽

pp. 333-354 ◽

Cited By ~ 56

Author(s):

Claudio Giorgi ◽

Vittorino Pata ◽

Alfredo Marzocchi

Keyword(s):

Asymptotic Behavior ◽

Heat Conduction ◽

Heat Conduction With Memory ◽

With Memory ◽

Semilinear Problem

Nonlinear Hyperbolic Equations and Linear Heat Conduction with Memory

Mechanics of Microstructured Solids 2 - Lecture Notes in Applied and Computational Mechanics ◽

10.1007/978-3-642-05171-5_7 ◽

2010 ◽

pp. 63-70 ◽

Cited By ~ 1

Author(s):

Sandra Carillo

Keyword(s):

Heat Conduction ◽

Hyperbolic Equations ◽

Nonlinear Hyperbolic Equations ◽

Linear Heat ◽

Heat Conduction With Memory ◽

With Memory