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- Josef Málek

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
35
Citations
5,499
141
World Ranking
1905
National Ranking
10

- Mathematical analysis
- Thermodynamics
- Geometry

His main research concerns Mathematical analysis, Weak solution, Compressibility, Incompressible flow and Non-Newtonian fluid. His study in Navier–Stokes equations extends to Mathematical analysis with its themes. His Weak solution study combines topics in areas such as Periodic problem, Invariant, Sobolev space, Cauchy stress tensor and Lipschitz continuity.

His Compressibility research integrates issues from Entropy production, Viscosity, Shear rate and Constitutive equation. His research in Incompressible flow intersects with topics in Bounded function and Boundary value problem. His Partial differential equation research is multidisciplinary, relying on both Conservation law and Scalar.

- Weak and Measure-Valued Solutions to Evolutionary PDEs (537 citations)
- Simple flows of fluids with pressure–dependent viscosities (119 citations)
- EXISTENCE AND REGULARITY OF SOLUTIONS AND THE STABILITY OF THE REST STATE FOR FLUIDS WITH SHEAR DEPENDENT VISCOSITY (117 citations)

Mathematical analysis, Weak solution, Compressibility, Boundary value problem and Mechanics are his primary areas of study. His Mathematical analysis study incorporates themes from Non-Newtonian fluid, Incompressible flow and Constitutive equation. Josef Málek works mostly in the field of Weak solution, limiting it down to topics relating to Uniqueness and, in certain cases, Initial value problem, as a part of the same area of interest.

His Compressibility research incorporates themes from Viscosity, Shear rate, Classical mechanics, Entropy production and Viscoelasticity. His Boundary value problem research integrates issues from Navier–Stokes equations and Domain. His study in the fields of Newtonian fluid and Power-law fluid under the domain of Mechanics overlaps with other disciplines such as Materials science.

- Mathematical analysis (55.48%)
- Weak solution (29.03%)
- Compressibility (26.45%)

- Mathematical analysis (55.48%)
- Boundary value problem (22.58%)
- Compressibility (26.45%)

Josef Málek focuses on Mathematical analysis, Boundary value problem, Compressibility, Cauchy stress tensor and Mechanics. His work on Weak solution as part of his general Mathematical analysis study is frequently connected to Free energies, thereby bridging the divide between different branches of science. His work deals with themes such as Mass transfer, Incompressible flow, Second law of thermodynamics and Surface entropy, which intersect with Boundary value problem.

His Compressibility research includes elements of Plane, Viscoelasticity and Isothermal process. His Cauchy stress tensor study combines topics in areas such as Velocity gradient, Thermodynamic potential, Transport phenomena, Thermodynamics and Constitutive equation. His work on Newtonian fluid and Non-Newtonian fluid as part of general Mechanics research is frequently linked to Materials science and Pore water pressure, thereby connecting diverse disciplines of science.

- Thermodynamics of viscoelastic rate-type fluids with stress diffusion (20 citations)
- On the Classification of Incompressible Fluids and a Mathematical Analysis of the Equations That Govern Their Motion (16 citations)
- Derivation of the Variants of the Burgers Model Using a Thermodynamic Approach and Appealing to the Concept of Evolving Natural Configurations (16 citations)

- Mathematical analysis
- Thermodynamics
- Geometry

Josef Málek spends much of his time researching Cauchy stress tensor, Viscoelasticity, Mathematical analysis, Boundary value problem and Statistical physics. His research integrates issues of Non-Newtonian fluid and Constitutive equation in his study of Cauchy stress tensor. His work is dedicated to discovering how Viscoelasticity, Stress diffusion are connected with Mechanics, Entropy, Compressibility, Evolution equation and Entropy production and other disciplines.

His Mathematical analysis study combines topics from a wide range of disciplines, such as Velocity gradient and Incompressible flow. His study in Statistical physics is interdisciplinary in nature, drawing from both Nonlinear stability and Lyapunov function. He combines subjects such as Dirichlet boundary condition, Turbulence, Scalar, System of linear equations and Dissipation with his study of Weak solution.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Weak and Measure-Valued Solutions to Evolutionary PDEs

J. Málek;J. Nečas;M. Rokyta;M. Růžička.

**(1996)**

1081 Citations

Weak and Measure-Valued Solutions to Evolutionary PDEs

J. Málek;J. Nečas;M. Rokyta;M. Růžička.

**(1996)**

1081 Citations

On weak solutions to a class of non-Newtonian incompressible fluids in bounded three-dimensional domains: the case $p\geq2$

J. Málek;J. Nečas;M. Růžička.

Advances in Differential Equations **(2001)**

176 Citations

On weak solutions to a class of non-Newtonian incompressible fluids in bounded three-dimensional domains: the case $p\geq2$

J. Málek;J. Nečas;M. Růžička.

Advances in Differential Equations **(2001)**

176 Citations

Simple flows of fluids with pressure–dependent viscosities

J. Hron;J. Málek;K. R. Rajagopal.

Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences **(2001)**

175 Citations

Simple flows of fluids with pressure–dependent viscosities

J. Hron;J. Málek;K. R. Rajagopal.

Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences **(2001)**

175 Citations

EXISTENCE AND REGULARITY OF SOLUTIONS AND THE STABILITY OF THE REST STATE FOR FLUIDS WITH SHEAR DEPENDENT VISCOSITY

J. Málek;K.R. Rajagopal;M. Růžička.

Mathematical Models and Methods in Applied Sciences **(1995)**

172 Citations

EXISTENCE AND REGULARITY OF SOLUTIONS AND THE STABILITY OF THE REST STATE FOR FLUIDS WITH SHEAR DEPENDENT VISCOSITY

J. Málek;K.R. Rajagopal;M. Růžička.

Mathematical Models and Methods in Applied Sciences **(1995)**

172 Citations

ON ANALYSIS OF STEADY FLOWS OF FLUIDS WITH SHEAR-DEPENDENT VISCOSITY BASED ON THE LIPSCHITZ TRUNCATION METHOD ∗

Jens Frehse;Josef Málek;Mark Steinhauer.

Siam Journal on Mathematical Analysis **(2003)**

169 Citations

ON ANALYSIS OF STEADY FLOWS OF FLUIDS WITH SHEAR-DEPENDENT VISCOSITY BASED ON THE LIPSCHITZ TRUNCATION METHOD ∗

Jens Frehse;Josef Málek;Mark Steinhauer.

Siam Journal on Mathematical Analysis **(2003)**

169 Citations

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