Reinhard Racke: Papers

Reinhard Racke: Papers

Books

m2023-2.pdf

A reaction-diffusion model for the transmission dynamics of the Coronavirus pandemic with reinfection and vaccination process
(with H. Abboubakar and N. Schlosser)
41 pages (2023)

m2023-1.pdf

Blow-up of solutions for relaxed compressible Navier-Stokes equations
(with Y. Hu)
10 pages (2023)

m2022-3.pdf

Mathematical modeling of the Corona virus (Covid-19) transmission dynamics using classical and fractional derivatives
(with H. Abboubakar)
43 pages (2022)

m2022-2.pdf

Decay properties for the Cauchy problem of the linear JMGT-viscoelastic plate with heat conduction
(with D. Wang, W. Liu)
24 pages (2022)

m2022-1.pdf

Global existence versus blow-up for multi-d hyperbolized compressible Navier-Stoke equations
(with Y. Hu)
26 pages (2022)

m2021-1.pdf

Formation of singularities for one-dimensional relaxed compressible Navier-Stokes equations
(with Y. Hu, N. Wang)
16 pages (2021)

m2020-1.pdf

Effects of history and heat models on the stability of thermoelastic Timoshenko systems
(with M.A. Jorge Silva)
30 pages (2020)

m2019-5.pdf

Mathematical modelling and optimal control of typhoid fever
(with H. Abboubakar)
30 pages (2019)

m2019-4.pdf

Decay for thermoelastic Green-Lindsay plates in bounded and unbounded domains
(with R. Quintanilla, Y. Ueda)
28 pages (2019)

m2019-3.pdf

Hyperbolic compressible Navier-Stokes equations
(with Y. Hu)
19 pages (2019)

m2019-2.pdf

Global well-posedness of the Cauchy problem for the Jordan-Moore-Gibson-Thompson equation
(with B. Said-Houari)
37 pages (2019/updated 2020)

m2019-1.pdf

The Cauchy problem for thermoelastic plates with two temperatures
(with Y. Ueda)
22 pages (2019)

m2018-3.pdf

Stability of abstract thermoelastic systems with inertial terms
(with H.D. Fernández Sare, Z. Liu)
43 pages (2018)

m2018-2.pdf

Global well-posedness and polynomial decay for a nonlinear Timoshenko-Cattaneo system under minimal Sobolev regularity
(with N. Mori)
18 pages (2018)

m2018-1.pdf

On exponential stability for thermoelastic plates: comparison and singular limits
(with J.E. Muñoz Rivera, M. Sepúlveda, O. Vera Villagrán)
32 pages (2018)

m68.pdf

Nonlinear thermoelastic plate equations - global existence and decay rates for the Cauchy problem
(with Y. Ueda)
35 pages (2017)

m67.pdf

Stability for thermoelastic plates with two temperatures
(with R. Quintanilla)
24 pages (2017)

m66.pdf

On (non-)exponential stability in generalized thermoelasticity with two temperatures
(with M.C. Leseduarte, R. Quintanilla)
7 pages (2016)

m65.pdf

Optimal decay rates and global existence for a semilinear Timoshenko system with two damping effects
(with W. Wang, R. Xue)
17 pages (2015)

m64.pdf

Compressible Navier-Stokes equations with revised Maxwell's law
(with Y. Hu )
15 pages (2015)

m63.pdf

Dissipative structures for thermoelastic plate equations in R^n
(with Y. Ueda)
24 pages (2015)

m62.pdf

Heat conduction in elastic systems: Fourier versus Cattaneo
5 pages (2015)

m61.pdf

Transsmission problems in (thermo-)viscoelasticity with Kelvin-Voigt damping: non-exponential, strong and polynomial stability
(with J.E. Muñoz Rivera)
30 pages (2015)

m60.pdf

Singular limits in the Cauchy problem for the damped extensible beam equation
(with S. Yoshikawa)
21 pages (2014)

m59.pdf

Decay estimates for the Cauchy problem for the damped extensible beam equation
(with S. Yoshikawa)
19 pages (2014)

m58.pdf

Compressible Navier-Stokes equations with hyperbolic heat conduction
(with Y. Hu)
14 pages (2014)

m57.pdf

On a class of nonlinear viscoelastic Kirchhoff plates: well-posedness and general decay rates
(with M.A. Jorge Silva, J.E. Muñoz Rivera)
28 pages (2014)

m56.pdf

Spatial behavior in phase-lag heat conduction
(with R. Quintanilla)
19 pages (2013)

m55.pdf

Strong and mild extrapolated L^2-solutions to the heat equation with constant delay
(with D. Khusainov, M. Pokojovy)
32 pages (2013)

m54.pdf

Phase-lag heat conduction: decay rates for limit problems and well-posedness
(with K. Borgmeyer, R. Quintanilla)
23 pages (2013)

m53.pdf

Global existence and decay properties for solutions of the Cauchy problem in one-dimensional thermoelasticity with second sound
(with A. Kasimov, B. Said-Houari)
23 pages (2012)

m52.pdf

Compressible Euler equations with second sound: asymptotics of discontinuous solutions
(with B. Fang)
26 pages (2012)

m51.pdf

Formation of singularities in one-dimensional thermoelasticity with second sound
(with Y. Hu)
12 pages (2012)

m50.pdf

Global existence and decay property of the Timoshenko system in thermoelasticity with second sound
(with B. Said-Houari)
28 pages (2012)

m49.pdf

Addendum to: Qualitative aspects of solutions in resonators
(with R. Quintanilla)
7 pages (2011)

m48.pdf

Instability of coupled systems with delay
25 pages (2011)

m47.pdf

Decay rates of semilinear viscoelastic systems in weighted spaces
(with B. Said-Houari)
33 pages (2010)

m46.pdf

Decay rates and global existence for semilinear dissipative Timoshenko systems
(with B. Said-Houari)
39 pages (2010)

m45.pdf

Evolution equations on non flat waveguides
(with P. D'Ancona)
22 pages (2010)

m44.pdf

Global solutions to hyperbolic Navier-Stokes equations
(with J. Saal)
20 pages (2010)

m43.pdf

Well-posedness of a quasilinear hyperbolic fluid model
(with J. Saal)
22 pages (2010)

m42.pdf

Local energy decay estimate of solutions to the thermoelastic plate equations in two- and three-dimensional exterior domains
(with R. Denk, Y. Shibata)
37 pages (2008)

m41.pdf

Global attractors for nonlinear beam equations
(with C. Shang)
22 pages (2008)

m40.pdf

Ill-posed problems in thermomechanics
(with M. Dreher, R. Quintanilla)
10 pages (2008)

m39.pdf

Qualitative aspects in resonators
(with R. Quintanilla)
14 pages (2008)

m38.pdf

L_p theory for the linear thermoelastic plate equations in bounded and exterior domains
(with R. Denk, Y. Shibata)
22 pages (2008)

m37.pdf

Low frequency expansion in thermoelasticity with second sound in three dimensions
(with Y. Naito, Y. Shibata)
20 pages (2008)

m36.pdf

Asymptotic behavior of discontinuous solutions in 3-d thermoelasticity with second sound
(with Y. Wang)
19 pages (2007)

m35.pdf

Stability for a transmission problem in thermoelasticity with second sound
(with H.D. Fernández Sare, J.E. Muñoz Rivera)
14 pages (2007)

m34.pdf

Elastic and Electro-Magnetic Waves in Infinite Waveguides
(with P.H. Lesky)
26 pages (2007)

m33.pdf

Timoshenko systems with indefinite damping
(with J.E. Muñoz Rivera)
20 pages (2007)

m32.pdf

A note on stability in three-phase-lag heat conduction
(with R. Quintanilla)
10 pages (2007)

m31.pdf

On the stability of damped Timoshenko systems - Cattaneo versus Fourier law
(with H.D. Fernández Sare)
29 pages (2007)

m30.pdf

Nonlinear well-posedness and rates of decay in thermoelasticity with second sound
(with Y. Wang)
17 pages, 187577 Bytes (2006)

m29.pdf, m29.ps

Qualitative aspects in dual-phase-lag heat conduction
(with R. Quintanilla)
17 pages, pdf: 179664 Bytes, ps: 320848 Bytes (2006)

m28.pdf, m28.ps

L^p resolvent estimates and time decay for generalized thermoelastic plate equations
(with R. Denk)
20 pages, pdf: 222208 Bytes, ps: 397797 Bytes (2005)

m27.pdf, m27.ps

A note on stability in dual-phase-lag heat conduction
(with R. Quintanilla)
10 pages, pdf: 119359 Bytes, ps: 204809 Bytes (2005)

m26.pdf, m26.ps

Qualitative aspects in dual-phase-lag thermoelasticity
(with R. Quintanilla)
28 pages, pdf: 229238 Bytes, ps: 430121 Bytes (2005)

m25.pdf, m25.ps

Exponential stability for wave equations with non-dissipative damping
(with J.E. Muñoz Rivera)
27 pages, pdf: 242510 Bytes, ps: 421741 Bytes (2004)

m24.ps

Asymptotic behavior of discontinuous solutions to thermoelastic systems with second sound
(with Y. Wang)
17 pages, 239233 Bytes (2004)

m23.ps

Sharp decay rates in parabolic and hyperbolic thermoelasticity
(with T. Irmscher)
22 pages, 266112 Bytes (2004)

m22.ps

Mathematical analysis of thermoplasticity with linear kinematic hardening
(with K. Chelminski)
18 pages, 330276 Bytes (2003)

m21.ps

Maximal regularity and asymptotic behavior of solutions for the Cahn-Hilliard equation with dynamic boundary conditions
(with J. Prüß, S. Zheng)
21 pages, 290760 Bytes (2003)

m20.ps

Stability for thermoelasticity of type III
(with R. Quintanilla)
19 pages, 260670 Bytes (2002)

m19.ps

Global stability for damped Timoshenko systems
(with J.E. Muñoz Rivera)
16 pages, 227647 Bytes (2002)

m17.ps

Mildly dissipative nonlinear Timoshenko systems - global existence and exponential stability
(with J.E. Muñoz Rivera)
25 pages, 301103 Bytes (2002)

m16.ps

Nonlinear wave equations in infinite waveguides
(with P.H. Lesky)
26 pages, 7648621 Bytes (2001)

m15.ps

The Cahn-Hilliard equation with dynamic boundary conditions
(with S. Zheng)
31 pages, 310322 Bytes (2002)

m14.ps

Asymptotic behavior of solutions in 2- or 3-d thermoelasticity with second sound
15 pages, 210371 Bytes (2001)

m13.ps

Thermoelasticity with second sound - Exponential stability in linear and nonlinear 1-d
31 pages, 358053 Bytes (2001)

m12.ps

Energy decay for Timoshenko systems of memory type
(with A. Benabdallah, F. Ammar-Khodja, J.E. Muñoz Rivera)
31 pages, 357913 Bytes (2000)

m11.ps

Polynomial stability in two-dimensional magneto-elasticity
(with J.E. Muñoz Rivera)
15 pages, 228864 Bytes (2000)

m10.dvi

Magneto-thermoelasticity - large time behavior for linear systems
(with J.E. Muñoz Rivera)
26 pages, 101956 Bytes (1999)

Books:

[5] Lectures on nonlinear evolution equations. Initial value problems. Second edition.
Birkhäuser Verlag, Basel (2015)
Here: table of contents, introduction, references

[4] Kompendium der Analysis. Band 2.
Springer Spektrum Reihe Studium
Springer Spektrum, Wiesbaden (2012)
(mit R. Denk)
Hier: Vorwort, Inhaltsverzeichnis, Index

[3] Kompendium der Analysis. Band 1.
Vieweg-Reihe Studium
Vieweg+Teubner, Wiesbaden (2011)
(mit R. Denk)
Hier: Vorwort, Inhaltsverzeichnis, Index

[2] Evolution equations in thermoelasticity.
Monographs and Surveys in Pure and Applied Mathematics 112
Chapman & Hall/CRC, Boca Raton (2000)
(with S. Jiang)
Here: table of contents, introduction, references

[1] Lectures on nonlinear evolution equations. Initial value problems.
Aspects of Mathematics E19
Vieweg Verlag, Braunschweig/Wiesbaden (1992)
Here: table of contents, introduction, references
 
 

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