What is he best known for?
The fields of study he is best known for:
- 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.
His most cited work include:
- 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)
What are the main themes of his work throughout his whole career to date?
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.
He most often published in these fields:
- Mathematical analysis (55.48%)
- Weak solution (29.03%)
- Compressibility (26.45%)
What were the highlights of his more recent work (between 2017-2021)?
- Mathematical analysis (55.48%)
- Boundary value problem (22.58%)
- Compressibility (26.45%)
In recent papers he was focusing on the following fields of study:
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.
Between 2017 and 2021, his most popular works were:
- 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)
In his most recent research, the most cited papers focused on:
- 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.
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