World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
34
Citations
5641
World Ranking
2894
National Ranking
176

Overview

Reinhard Racke is affiliated with the University of Konstanz in Germany and focuses research efforts at the intersection of engineering and mathematics. Their work frequently appears in journals dedicated to differential equations, applied mathematics, and mathematical physics.

Their research centers on the study of complex mathematical models related to fluid dynamics, elasticity, and thermoelastic phenomena. Key topics explored include Navier-Stokes equation solutions, stability and controllability of differential equations, computational fluid dynamics and aerodynamics, as well as advanced mathematical physics problems.

Frequent coauthors contributing to Reinhard Racke's research include Yuxi Hu, Hamadjam Abboubakar, Yoshihiro Ueda, Jaime E. Muñoz Rivera, and Belkacem Said-Houari.

Publication venues with multiple articles by Racke include the Journal of Differential Equations, Applied Mathematics & Optimization, and Communications in Contemporary Mathematics. Their research outputs also feature in Chaos Solitons & Fractals and arXiv.

  • Global well-posedness of the Cauchy problem for the 3D Jordan-Moore-Gibson-Thompson equation, 2020, Communications in Contemporary Mathematics
  • Mathematical modeling, forecasting, and optimal control of typhoid fever transmission dynamics, 2021, Chaos Solitons & Fractals
  • Effects of history and heat models on the stability of thermoelastic Timoshenko systems, 2020, Journal of Differential Equations
  • Formation of singularities for one-dimensional relaxed compressible Navier-Stokes equations, 2022, Journal of Differential Equations
  • Hyperbolic compressible Navier-Stokes equations, 2020, Journal of Differential Equations

The main fields of study encompass engineering and mathematics, with subfields such as applied mathematics, mechanics of materials, mathematical physics, control and systems engineering, and computational mechanics being prominent.

  • Navier-Stokes equation solutions
  • Stability and Controllability of Differential Equations
  • Computational Fluid Dynamics and Aerodynamics
  • Advanced Mathematical Modeling in Engineering
  • Advanced Mathematical Physics Problems
  • Thermoelastic and Magnetoelastic Phenomena
  • Elasticity and Wave Propagation

Best Publications

  • Energy decay for Timoshenko systems of memory type

    F. Ammar-Khodja;A. Benabdallah;J.E. Muñoz Rivera;R. Racke

  • Lectures on nonlinear evolution equations

    Reinhard Racke

  • Mildly dissipative nonlinear Timoshenko systems—global existence and exponential stability☆

    Jaime E. Muñoz Rivera;Reinhard Racke

  • On the stability of damped Timoshenko systems - Cattaneo versus Fourier law

    Hugo D. Fernández Sare;Reinhard Racke

  • A note on stability in three-phase-lag heat conduction

    Ramón Quintanilla;Reinhard Racke

  • Global stability for damped Timoshenko systems

    Jaime E. Muñoz Rivera;Reinhard Racke

  • A note on stability in dual-phase-lag heat conduction

    Ramón Quintanilla;Reinhard Racke

  • Thermoelasticity with second sound—exponential stability in linear and non‐linear 1‐d

    Reinhard Racke

  • The Cahn-Hilliard equation with dynamic boundary conditions

    Reinhard Racke;Songmu Zheng

  • Global Stability of Large Solutions to the 3D Navier-Stokes Equations

    G. Ponce;R. Racke;T. C. Sideris;E. S. Titi;E. S. Titi

  • Smoothing properties, decay, and global existence of solutions to nonlinear coupled systems of thermoelastic type

    Jaime E. Muñoz Rivera;Reinhard Racke

  • Ill-posed problems in thermomechanics

    Michael Dreher;Ramón Quintanilla;Reinhard Racke

  • Timoshenko systems with indefinite damping

    Jaime E. Muñoz Rivera;Reinhard Racke

  • Qualitative Aspects in Dual-Phase-Lag Thermoelasticity

    Ramón Quintanilla;Reinhard Racke

  • Stability in thermoelasticity of type III

    Ramon Quintanilla;Reinhard Racke

  • Maximal regularity and asymptotic behavior of solutions for the Cahn–Hilliard equation with dynamic boundary conditions

    Jan Prüss;Reinhard Racke;Songmu Zheng

  • Qualitative aspects in dual-phase-lag heat conduction

    Ramón Quintanilla;Reinhard Racke

  • Large Solutions and Smoothing Properties for Nonlinear Thermoelastic Systems

    Jaime E. Muñoz Rivera;Reinhard Racke

  • Global smooth solutions and asymptotic stability in one-dimensional nonlinear thermoelasticity

    Reinhard Racke;Reinhard Racke;Yoshihiro Shibata;Yoshihiro Shibata

  • Asymptotic behavior of solutions in linear 2- or 3-d thermoelasticity with second sound

    Reinhard Racke

Frequent Co-Authors

Ramón Quintanilla
Ramón Quintanilla Universitat Politècnica de Catalunya
Yoshihiro Shibata
Yoshihiro Shibata Waseda University
Jan Prüss
Jan Prüss Martin Luther University Halle-Wittenberg
Song Jiang
Song Jiang Institute of Applied Physics and Computational Mathematics

If you think any of the details on this page are incorrect, let us know.

Report an issue

We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below:

Related Online Degrees & Career Pathways

Pursuing a degree in Mathematics opens up a variety of career opportunities, from data science to business analytics. Students often consider supplementing their math skills with related programs such as an MS in Data Analytics, which equips graduates with practical skills to interpret and leverage data in business and technology sectors.

For those interested in expanding their expertise into leadership and management roles, exploring online MBA programs that accept transfer credits can be a strategic option. This flexibility helps students speed up their education while balancing professional commitments.

Additionally, the demand for accessible graduate degrees has brought attention to the easy MBA programs to get into, which tend to have more lenient admission criteria, enabling more students to advance their careers without rigorous entry barriers.

Similarly, those seeking affordable and flexible options should consider the easiest online MBA programs. These programs often combine convenience with quality education, helping Mathematics graduates transition into managerial positions with ease.

Best Scientists Citing Reinhard Racke

Trending Scientists

Recently Published Articles