Helmut Abels

Applied Mathematics · 2005–2011

A researcher in the Science corpus: 6 papers; trusts 7 researchers and is trusted by 14 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 12 citations into it; #1,545 of 7,620 by trust here, #2,583 by citations
• Computational Theory and Mathematics — 8 citations into it; #3,596 of 12,182 by trust here, #5,046 by citations
• Materials Chemistry — 7 citations into it; #4,084 of 11,513 by trust here, #9,657 by citations
• Computational Mechanics — 5 citations into it; #4,235 of 10,001 by trust here, #6,287 by citations
• Mathematical Physics — 5 citations into it; #3,121 of 8,562 by trust here, #5,794 by citations

Whom Helmut Abels trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Eduard Feireisl
2. Franck Boyer
3. Chun Liu
4. Alain Miranville
5. Sergey Zelik
6. Jie Shen
7. Hao-qing Wu
8. R. Chill
9. N. Jacob

Who trusts Helmut Abels overall

1. Hao Wu
2. Didier Bresch
3. R. Mikulevičius
4. Laurence Cherfils
5. Yoshihiro Shibata
6. Ciprian G. Gal
7. Jie Shen
8. Pierre-Emmanuel Jabin
9. Alain Miranville
10. H. Pragarauskas

Papers from Helmut Abels's perspective

Ordered by how strongly the researchers Helmut Abels trusts endorse each paper. Same corpus, a different order for every researcher.

1. A phase field model for the mixture of two incompressible fluids and its approximation by a Fourier-spectral method
2. A theoretical and numerical model for the study of incompressible mixture flows
3. Dynamics of Viscous Compressible Fluids
4. On the motion of a viscous, compressible, and heat conducting fluid
5. Robust exponential attractors for Cahn‐Hilliard type equations with singular potentials
6. Diffuse interface model for incompressible two-phase flows with large density ratios (Journal of Computational Physics)
7. Computation of geometric partial differential equations and mean curvature flow (Acta Numerica)
8. Non-equilibrium Thermodynamics
9. Levy-Type Processes and Pseudodifferential Operators
10. Convergence to Equilibrium for the Cahn-Hilliard Equation with Wentzell Boundary Condition

Their papers

• Convergence to equilibrium for the Cahn–Hilliard equation with a logarithmic free energy (2007) — 175 citations
• Thermodynamically Consistent, Frame Indifferent Diffuse Interface Models for Incompressible Two-Phase Flows with Different Densities (2011) — 505 citations
• On a diffuse interface model for a two-phase flow of compressible viscous fluids (2008) — 142 citations
• Pseudodifferential and Singular Integral Operators: An Introduction with Applications (2011) — 68 citations
• The Cauchy problem and the martingale problem for integro-differential operators with non-smooth kernels (2006) — 67 citations
• The initial-value problem for the Navier-Stokes equations with a free surface in $L^q$-Sobolev spaces (2005) — 56 citations