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Author ID: abels.helmut Recent zbMATH articles by "Abels, Helmut"
Published as: Abels, Helmut; Abels, H.
Homepage: https://www.uni-regensburg.de/mathematik/mathematik-abels/startseite/index.html
External Links: MGP
all top 5

Serials

6 SIAM Journal on Mathematical Analysis
5 Interfaces and Free Boundaries
5 Discrete and Continuous Dynamical Systems. Series S
4 Journal of Differential Equations
4 Journal of Mathematical Fluid Mechanics
4 Journal of Evolution Equations
3 Mathematische Nachrichten
3 Asymptotic Analysis
2 Archive for Rational Mechanics and Analysis
2 Mathematical Methods in the Applied Sciences
2 Nonlinearity
2 Mathematische Annalen
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 European Journal of Applied Mathematics
2 Communications in Partial Differential Equations
2 Advances in Differential Equations
2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 Communications in Mathematical Physics
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal of Computational Physics
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 Arkiv för Matematik
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Indiana University Mathematics Journal
1 Integral Equations and Operator Theory
1 Journal of Functional Analysis
1 Journal of the London Mathematical Society. Second Series
1 Mathematische Zeitschrift
1 Osaka Journal of Mathematics
1 Zeitschrift für Analysis und ihre Anwendungen
1 Differential and Integral Equations
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Communications in Analysis and Geometry
1 Calculus of Variations and Partial Differential Equations
1 The Journal of Fourier Analysis and Applications
1 Analysis (München)
1 Nonlinear Analysis. Real World Applications
1 Communications on Pure and Applied Analysis
1 Analysis and Applications (Singapore)
1 Journal of Function Spaces and Applications
1 GAMM-Mitteilungen
1 RIMS Kôkyûroku Bessatsu
1 Journal of Pseudo-Differential Operators and Applications
1 Advances in Nonlinear Analysis
1 Berichte aus der Mathematik
1 SN Partial Differential Equations and Applications

Publications by Year

Citations contained in zbMATH Open

85 Publications have been cited 1,440 times in 786 Documents Cited by Year
Thermodynamically consistent, frame indifferent diffuse interface models for incompressible two-phase flows with different densities. Zbl 1242.76342
Abels, Helmut; Garcke, Harald; Grün, Günther
203
2012
On a diffuse interface model for two-phase flows of viscous, incompressible fluids with matched densities. Zbl 1254.76158
Abels, Helmut
156
2009
Convergence to equilibrium for the Cahn-Hilliard equation with a logarithmic free energy. Zbl 1121.35018
Abels, Helmut; Wilke, Mathias
81
2007
On a diffuse interface model for a two-phase flow of compressible viscous fluids. Zbl 1144.35041
Abels, Helmut; Feireisl, Eduard
66
2008
Existence of weak solutions for a diffuse interface model for viscous, incompressible fluids with general densities. Zbl 1165.76050
Abels, Helmut
61
2009
Existence of weak solutions for a diffuse interface model for two-phase flows of incompressible fluids with different densities. Zbl 1273.76421
Abels, Helmut; Depner, Daniel; Garcke, Harald
55
2013
On an incompressible Navier-Stokes/Cahn-Hilliard system with degenerate mobility. Zbl 1347.76052
Abels, Helmut; Depner, Daniel; Garcke, Harald
45
2013
Pseudodifferential and singular integral operators. An introduction with applications. Zbl 1235.35001
Abels, Helmut
36
2012
Well-posedness of a fully coupled Navier-Stokes/\(\mathrm Q\)-tensor system with inhomogeneous boundary data. Zbl 1336.35283
Abels, Helmut; Dolzmann, Georg; Liu, Yuning
33
2014
On generalized solutions of two-phase flows for viscous incompressible fluids. Zbl 1124.35060
Abels, Helmut
32
2007
Existence of weak solutions for a non-classical sharp interface model for a two-phase flow of viscous, incompressible fluids. Zbl 1181.35343
Abels, Helmut; Röger, Matthias
32
2009
On Stokes operators with variable viscosity in bounded and unbounded domains. Zbl 1172.35050
Abels, Helmut; Terasawa, Yutaka
30
2009
The initial-value problem for the Navier-Stokes equations with a free surface in \(L^q\)-Sobolev spaces. Zbl 1105.35072
Abels, Helmut
29
2005
Longtime behavior of solutions of a Navier-Stokes/Cahn-Hilliard system. Zbl 1167.76008
Abels, Helmut
29
2009
Cahn-Hilliard equation with nonlocal singular free energies. Zbl 1320.35083
Abels, Helmut; Bosia, Stefano; Grasselli, Maurizio
28
2015
Strong well-posedness of a diffuse interface model for a viscous, quasi-incompressible two-phase flow. Zbl 1333.76079
Abels, Helmut
27
2012
The time-dependent von Kármán plate equation as a limit of 3d nonlinear elasticity. Zbl 1346.74110
Abels, Helmut; Mora, Maria Giovanna; Müller, Stefan
25
2011
Strong solutions for the Beris-Edwards model for nematic liquid crystals with homogeneous Dirichlet boundary conditions. Zbl 1333.35174
Abels, Helmut; Dolzmann, Georg; Liu, Yuning
24
2016
The Cauchy problem and the martingale problem for integro-differential operators with non-smooth kernels. Zbl 1196.47037
Abels, Helmut; Kassmann, Moritz
21
2009
On sharp interface limits for diffuse interface models for two-phase flows. Zbl 1319.76058
Abels, Helmut; Lengeler, Daniel
21
2014
Sharp interface limit for a Stokes/Allen-Cahn system. Zbl 1394.35343
Abels, Helmut; Liu, Yuning
21
2018
Extension theory and Kreĭn-type resolvent formulas for nonsmooth boundary value problems. Zbl 1312.47019
Abels, Helmut; Grubb, Gerd; Wood, Ian Geoffrey
19
2014
Reduced and generalized Stokes resolvent equations in asymptotically flat layers. II: \(H_\infty\)-calculus. Zbl 1083.35085
Abels, Helmut
18
2005
Weak solutions for a non-Newtonian diffuse interface model with different densities. Zbl 1354.35084
Abels, Helmut; Breit, Dominic
16
2016
Nonstationary Stokes system with variable viscosity in bounded and unbounded domains. Zbl 1191.76038
Abels, Helmut
16
2010
A phase-field model for fluid-structure interaction. Zbl 1415.74023
Mokbel, Dominic; Abels, Helmut; Aland, Sebastian
16
2018
Pseudodifferential boundary value problems with nonsmooth coefficients. Zbl 1087.35099
Abels, Helmut
15
2005
Reduced and generalized Stokes resolvent equations in asymptotically flat layers. I: Unique solvability. Zbl 1070.35020
Abels, Helmut
14
2005
Large time existence for thin vibrating plates. Zbl 1247.74019
Abels, Helmut; Mora, Maria Giovanna; Müller, Stefan
13
2011
Existence of weak solutions for a diffuse interface model of non-Newtonian two-phase flows. Zbl 1297.35177
Abels, Helmut; Diening, Lars; Terasawa, Yutaka
13
2014
Resolvent estimates for the Stokes operator on an infinite layer. Zbl 1212.35343
Abels, Helmut; Wiegner, Michael
12
2005
Well-posedness and qualitative behaviour of solutions for a two-phase Navier-Stokes-Mullins-Sekerka system. Zbl 1302.35457
Abels, Helmut; Wilke, Mathias
11
2013
An analytic approach to purely nonlocal Bellman equations arising in models of stochastic control. Zbl 1119.47048
Abels, Helmut; Kassmann, Moritz
10
2007
Analysis of the diffuse domain approach for a bulk-surface coupled PDE system. Zbl 1326.35112
Abels, Helmut; Lam, Kei Fong; Stinner, Björn
10
2015
Characterization of non-smooth pseudodifferential operators. Zbl 1391.35442
Abels, Helmut; Pfeuffer, Christine
8
2018
Generalized Stokes resolvent equations in an infinite layer with mixed boundary conditions. Zbl 1117.35060
Abels, Helmut
8
2006
On the trace space of Sobolev space with a radial weight. Zbl 1169.46012
Abels, Helmut; Krbec, Miroslav; Schumacher, Katrin
8
2008
Bounded imaginary power and \(H_{\infty}\)-calculus of the Stokes operator in unbounded domains. Zbl 1109.35084
Abels, Helmut
8
2005
Boundedness of imaginary powers of the Stokes operator in an infinite layer. Zbl 1030.35131
Abels, Helmut
8
2002
Two-phase flow with surfactants: diffuse interface models and their analysis. Zbl 1391.76766
Abels, Helmut; Garcke, Harald; Lam, Kei Fong; Weber, Josef
7
2017
Bounded imaginary powers and \(H_\infty\)-calculus of the Stokes operator in two-dimensional exterior domains. Zbl 1091.35054
Abels, Helmut
7
2005
Stokes equations in asymptotically flat domains and the motion of a free surface. Zbl 1028.35117
Abels, Helmut
7
2003
Sharp interface limit for the Cahn-Larché system. Zbl 1320.35022
Abels, Helmut; Schaubeck, Stefan
7
2015
Sharp interface limits for diffuse interface models for two-phase flows of viscous incompressible fluids. Zbl 1391.76767
Abels, Helmut; Liu, Yuning; Schöttl, Andreas
6
2017
Sharp interface limit of a Stokes/Cahn-Hilliard system. I: Convergence result. Zbl 1490.76210
Abels, Helmut; Marquardt, Andreas
6
2021
(Non)-convergence of solutions of the convective Allen-Cahn equation. Zbl 1513.76158
Abels, Helmut
6
2022
Well-posedness of a Navier-Stokes/mean curvature flow system. Zbl 1401.35353
Abels, Helmut; Moser, Maximilian
6
2018
Existence of weak solutions for a diffuse interface model for two-phase flow with surfactants. Zbl 1404.35340
Abels, Helmut; Garcke, Harald; Weber, Josef
6
2019
On the notion of generalized solutions of viscous incompressible two-phase flows. Zbl 1119.35042
Abels, Helmut
5
2007
Spectral invariance of non-smooth pseudo-differential operators. Zbl 1372.35388
Abels, Helmut; Pfeuffer, Christine
5
2016
Short time existence for the curve diffusion flow with a contact angle. Zbl 1426.53098
Abels, Helmut; Butz, Julia
5
2019
Convergence of the Allen-Cahn equation to the mean curvature flow with \(90^\circ\)-contact angle in 2D. Zbl 1430.35127
Abels, Helmut; Moser, Maximilian
5
2019
Fractional-order operators on nonsmooth domains. Zbl 1521.35064
Abels, Helmut; Grubb, Gerd
5
2023
Weak solutions for a diffuse interface model for two-phase flows of incompressible fluids with different densities and nonlocal free energies. Zbl 1454.35251
Abels, Helmut; Terasawa, Yutaka
5
2020
Sharp interface limit of a Stokes/Cahn-Hilliard system. II: Approximate solutions. Zbl 1470.76101
Abels, Helmut; Marquardt, Andreas
5
2021
Well-posedness of the Muskat problem in subcritical \(L_p\)-Sobolev spaces. Zbl 1504.35269
Abels, H.; Matioc, B.-V.
5
2022
Local well-posedness for volume-preserving mean curvature and Willmore flows with line tension. Zbl 1335.53079
Abels, Helmut; Garcke, Harald; Müller, Lars
4
2016
Stability of spherical caps under the volume-preserving mean curvature flow with line tension. Zbl 1314.53115
Abels, Helmut; Garcke, Harald; Müller, Lars
4
2015
Nonconvergence of the capillary stress functional for solutions of the convective Cahn-Hilliard equation. Zbl 1371.35209
Abels, Helmut; Schaubeck, Stefan
4
2016
Local well-posedness of a quasi-incompressible two-phase flow. Zbl 1490.76226
Abels, Helmut; Weber, Josef
4
2021
Convergence of the Allen-Cahn equation with a nonlinear Robin boundary condition to mean curvature flow with contact angle close to \(90^\circ\). Zbl 1485.35020
Abels, Helmut; Moser, Maximilian
4
2022
On convergence of solutions to equilibria for fully nonlinear parabolic systems with nonlinear boundary conditions. Zbl 1366.35006
Abels, Helmut; Arab, Nasrin; Garcke, Harald
3
2015
Short time existence for coupling of scaled mean curvature flow and diffusion. Zbl 1509.53097
Abels, Helmut; Bürger, Felicitas; Garcke, Harald
3
2023
Qualitative properties for a system coupling scaled mean curvature flow and diffusion. Zbl 1510.53103
Abels, Helmut; Bürger, Felicitas; Garcke, Harald
3
2023
Convergence of a nonlocal to a local diffuse interface model for two-phase flow with unmatched densities. Zbl 1513.76149
Abels, Helmut; Terasawa, Yutaka
3
2022
Well-posedness and qualitative behaviour of the Mullins-Sekerka problem with ninety-degree angle boundary contact. Zbl 1475.35427
Abels, Helmut; Rauchecker, Maximilian; Wilke, Mathias
3
2021
Pressure reconstruction for weak solutions of the two-phase incompressible Navier-Stokes equations with surface tension. Zbl 1428.35270
Abels, Helmut; Daube, Johannes; Kraus, Christiane
3
2019
Diffuse interface models for incompressible two-phase flows with different densities. Zbl 1391.76765
Abels, Helmut; Garcke, Harald; Grün, Günther; Metzger, Stefan
2
2017
\(L_q\)-\(L_r\)-estimates for non-stationary Stokes equations in an aperture domain. Zbl 1027.35087
Abels, Helmut
2
2002
Non-homogeneous Navier-Stokes systems with order-parameter-dependent stresses. Zbl 1303.76008
Abels, Helmut; Terasawa, Yutaka
2
2010
Standard planar double bubbles are dynamically stable under surface diffusion flow. Zbl 1480.35006
Abels, Helmut; Arab, Nasrin; Garcke, Harald
2
2021
Sharp interface limit for a Navier-Stokes/Allen-Cahn system with different viscosities. Zbl 07733785
Abels, Helmut; Fei, Mingwen
2
2023
On a model for phase separation on biological membranes and its relation to the Ohta-Kawasaki equation. Zbl 1504.35167
Abels, H.; Kampmann, J.
2
2020
On a fluid-structure interaction problem for plaque growth. Zbl 1504.35656
Abels, Helmut; Liu, Yadong
2
2023
Fredholm property of non-smooth pseudodifferential operators. Zbl 1523.35313
Abels, Helmut; Pfeuffer, Christine
2
2020
Double obstacle limit for a Navier-Stokes/Cahn-Hilliard system. Zbl 1247.35098
Abels, Helmut
1
2011
Stokes equations in asymptotically flat layers. Zbl 1101.35344
Abels, Helmut
1
2005
Stationary solutions for a Navier-Stokes/Cahn-Hilliard system with singular free energies. Zbl 1338.35348
Abels, Helmut; Weber, Josef
1
2016
Nonsmooth pseudodifferential boundary value problems on manifolds. Zbl 1441.35267
Abels, Helmut; Jiménez, Carolina Neira
1
2019
A blow-up criterion for the curve diffusion flow with a contact angle. Zbl 1447.53083
Abels, Helmut; Butz, Julia
1
2020
On hypoellipticity of generators of Lévy processes. Zbl 1205.60094
Abels, Helmut; Husseini, Ryad
1
2010
Book review of: A. Miranville, The Cahn-Hilliard equation: recent advances and applications. Zbl 1456.00004
Abels, Helmut
1
2021
On a fluid-structure interaction problem for plaque growth: cylindrical domain. Zbl 1504.35573
Abels, Helmut; Liu, Yadong
1
2023
Large times existence for thin vibrating rods. Zbl 1509.35300
Abels, Helmut; Ameismeier, Tobias
1
2023
Convergence of thin vibrating rods to a linear beam equation. Zbl 1493.74053
Abels, Helmut; Ameismeier, Tobias
1
2022
Fractional-order operators on nonsmooth domains. Zbl 1521.35064
Abels, Helmut; Grubb, Gerd
5
2023
Short time existence for coupling of scaled mean curvature flow and diffusion. Zbl 1509.53097
Abels, Helmut; Bürger, Felicitas; Garcke, Harald
3
2023
Qualitative properties for a system coupling scaled mean curvature flow and diffusion. Zbl 1510.53103
Abels, Helmut; Bürger, Felicitas; Garcke, Harald
3
2023
Sharp interface limit for a Navier-Stokes/Allen-Cahn system with different viscosities. Zbl 07733785
Abels, Helmut; Fei, Mingwen
2
2023
On a fluid-structure interaction problem for plaque growth. Zbl 1504.35656
Abels, Helmut; Liu, Yadong
2
2023
On a fluid-structure interaction problem for plaque growth: cylindrical domain. Zbl 1504.35573
Abels, Helmut; Liu, Yadong
1
2023
Large times existence for thin vibrating rods. Zbl 1509.35300
Abels, Helmut; Ameismeier, Tobias
1
2023
(Non)-convergence of solutions of the convective Allen-Cahn equation. Zbl 1513.76158
Abels, Helmut
6
2022
Well-posedness of the Muskat problem in subcritical \(L_p\)-Sobolev spaces. Zbl 1504.35269
Abels, H.; Matioc, B.-V.
5
2022
Convergence of the Allen-Cahn equation with a nonlinear Robin boundary condition to mean curvature flow with contact angle close to \(90^\circ\). Zbl 1485.35020
Abels, Helmut; Moser, Maximilian
4
2022
Convergence of a nonlocal to a local diffuse interface model for two-phase flow with unmatched densities. Zbl 1513.76149
Abels, Helmut; Terasawa, Yutaka
3
2022
Convergence of thin vibrating rods to a linear beam equation. Zbl 1493.74053
Abels, Helmut; Ameismeier, Tobias
1
2022
Sharp interface limit of a Stokes/Cahn-Hilliard system. I: Convergence result. Zbl 1490.76210
Abels, Helmut; Marquardt, Andreas
6
2021
Sharp interface limit of a Stokes/Cahn-Hilliard system. II: Approximate solutions. Zbl 1470.76101
Abels, Helmut; Marquardt, Andreas
5
2021
Local well-posedness of a quasi-incompressible two-phase flow. Zbl 1490.76226
Abels, Helmut; Weber, Josef
4
2021
Well-posedness and qualitative behaviour of the Mullins-Sekerka problem with ninety-degree angle boundary contact. Zbl 1475.35427
Abels, Helmut; Rauchecker, Maximilian; Wilke, Mathias
3
2021
Standard planar double bubbles are dynamically stable under surface diffusion flow. Zbl 1480.35006
Abels, Helmut; Arab, Nasrin; Garcke, Harald
2
2021
Book review of: A. Miranville, The Cahn-Hilliard equation: recent advances and applications. Zbl 1456.00004
Abels, Helmut
1
2021
Weak solutions for a diffuse interface model for two-phase flows of incompressible fluids with different densities and nonlocal free energies. Zbl 1454.35251
Abels, Helmut; Terasawa, Yutaka
5
2020
On a model for phase separation on biological membranes and its relation to the Ohta-Kawasaki equation. Zbl 1504.35167
Abels, H.; Kampmann, J.
2
2020
Fredholm property of non-smooth pseudodifferential operators. Zbl 1523.35313
Abels, Helmut; Pfeuffer, Christine
2
2020
A blow-up criterion for the curve diffusion flow with a contact angle. Zbl 1447.53083
Abels, Helmut; Butz, Julia
1
2020
Existence of weak solutions for a diffuse interface model for two-phase flow with surfactants. Zbl 1404.35340
Abels, Helmut; Garcke, Harald; Weber, Josef
6
2019
Short time existence for the curve diffusion flow with a contact angle. Zbl 1426.53098
Abels, Helmut; Butz, Julia
5
2019
Convergence of the Allen-Cahn equation to the mean curvature flow with \(90^\circ\)-contact angle in 2D. Zbl 1430.35127
Abels, Helmut; Moser, Maximilian
5
2019
Pressure reconstruction for weak solutions of the two-phase incompressible Navier-Stokes equations with surface tension. Zbl 1428.35270
Abels, Helmut; Daube, Johannes; Kraus, Christiane
3
2019
Nonsmooth pseudodifferential boundary value problems on manifolds. Zbl 1441.35267
Abels, Helmut; Jiménez, Carolina Neira
1
2019
Sharp interface limit for a Stokes/Allen-Cahn system. Zbl 1394.35343
Abels, Helmut; Liu, Yuning
21
2018
A phase-field model for fluid-structure interaction. Zbl 1415.74023
Mokbel, Dominic; Abels, Helmut; Aland, Sebastian
16
2018
Characterization of non-smooth pseudodifferential operators. Zbl 1391.35442
Abels, Helmut; Pfeuffer, Christine
8
2018
Well-posedness of a Navier-Stokes/mean curvature flow system. Zbl 1401.35353
Abels, Helmut; Moser, Maximilian
6
2018
Two-phase flow with surfactants: diffuse interface models and their analysis. Zbl 1391.76766
Abels, Helmut; Garcke, Harald; Lam, Kei Fong; Weber, Josef
7
2017
Sharp interface limits for diffuse interface models for two-phase flows of viscous incompressible fluids. Zbl 1391.76767
Abels, Helmut; Liu, Yuning; Schöttl, Andreas
6
2017
Diffuse interface models for incompressible two-phase flows with different densities. Zbl 1391.76765
Abels, Helmut; Garcke, Harald; Grün, Günther; Metzger, Stefan
2
2017
Strong solutions for the Beris-Edwards model for nematic liquid crystals with homogeneous Dirichlet boundary conditions. Zbl 1333.35174
Abels, Helmut; Dolzmann, Georg; Liu, Yuning
24
2016
Weak solutions for a non-Newtonian diffuse interface model with different densities. Zbl 1354.35084
Abels, Helmut; Breit, Dominic
16
2016
Spectral invariance of non-smooth pseudo-differential operators. Zbl 1372.35388
Abels, Helmut; Pfeuffer, Christine
5
2016
Local well-posedness for volume-preserving mean curvature and Willmore flows with line tension. Zbl 1335.53079
Abels, Helmut; Garcke, Harald; Müller, Lars
4
2016
Nonconvergence of the capillary stress functional for solutions of the convective Cahn-Hilliard equation. Zbl 1371.35209
Abels, Helmut; Schaubeck, Stefan
4
2016
Stationary solutions for a Navier-Stokes/Cahn-Hilliard system with singular free energies. Zbl 1338.35348
Abels, Helmut; Weber, Josef
1
2016
Cahn-Hilliard equation with nonlocal singular free energies. Zbl 1320.35083
Abels, Helmut; Bosia, Stefano; Grasselli, Maurizio
28
2015
Analysis of the diffuse domain approach for a bulk-surface coupled PDE system. Zbl 1326.35112
Abels, Helmut; Lam, Kei Fong; Stinner, Björn
10
2015
Sharp interface limit for the Cahn-Larché system. Zbl 1320.35022
Abels, Helmut; Schaubeck, Stefan
7
2015
Stability of spherical caps under the volume-preserving mean curvature flow with line tension. Zbl 1314.53115
Abels, Helmut; Garcke, Harald; Müller, Lars
4
2015
On convergence of solutions to equilibria for fully nonlinear parabolic systems with nonlinear boundary conditions. Zbl 1366.35006
Abels, Helmut; Arab, Nasrin; Garcke, Harald
3
2015
Well-posedness of a fully coupled Navier-Stokes/\(\mathrm Q\)-tensor system with inhomogeneous boundary data. Zbl 1336.35283
Abels, Helmut; Dolzmann, Georg; Liu, Yuning
33
2014
On sharp interface limits for diffuse interface models for two-phase flows. Zbl 1319.76058
Abels, Helmut; Lengeler, Daniel
21
2014
Extension theory and Kreĭn-type resolvent formulas for nonsmooth boundary value problems. Zbl 1312.47019
Abels, Helmut; Grubb, Gerd; Wood, Ian Geoffrey
19
2014
Existence of weak solutions for a diffuse interface model of non-Newtonian two-phase flows. Zbl 1297.35177
Abels, Helmut; Diening, Lars; Terasawa, Yutaka
13
2014
Existence of weak solutions for a diffuse interface model for two-phase flows of incompressible fluids with different densities. Zbl 1273.76421
Abels, Helmut; Depner, Daniel; Garcke, Harald
55
2013
On an incompressible Navier-Stokes/Cahn-Hilliard system with degenerate mobility. Zbl 1347.76052
Abels, Helmut; Depner, Daniel; Garcke, Harald
45
2013
Well-posedness and qualitative behaviour of solutions for a two-phase Navier-Stokes-Mullins-Sekerka system. Zbl 1302.35457
Abels, Helmut; Wilke, Mathias
11
2013
Thermodynamically consistent, frame indifferent diffuse interface models for incompressible two-phase flows with different densities. Zbl 1242.76342
Abels, Helmut; Garcke, Harald; Grün, Günther
203
2012
Pseudodifferential and singular integral operators. An introduction with applications. Zbl 1235.35001
Abels, Helmut
36
2012
Strong well-posedness of a diffuse interface model for a viscous, quasi-incompressible two-phase flow. Zbl 1333.76079
Abels, Helmut
27
2012
The time-dependent von Kármán plate equation as a limit of 3d nonlinear elasticity. Zbl 1346.74110
Abels, Helmut; Mora, Maria Giovanna; Müller, Stefan
25
2011
Large time existence for thin vibrating plates. Zbl 1247.74019
Abels, Helmut; Mora, Maria Giovanna; Müller, Stefan
13
2011
Double obstacle limit for a Navier-Stokes/Cahn-Hilliard system. Zbl 1247.35098
Abels, Helmut
1
2011
Nonstationary Stokes system with variable viscosity in bounded and unbounded domains. Zbl 1191.76038
Abels, Helmut
16
2010
Non-homogeneous Navier-Stokes systems with order-parameter-dependent stresses. Zbl 1303.76008
Abels, Helmut; Terasawa, Yutaka
2
2010
On hypoellipticity of generators of Lévy processes. Zbl 1205.60094
Abels, Helmut; Husseini, Ryad
1
2010
On a diffuse interface model for two-phase flows of viscous, incompressible fluids with matched densities. Zbl 1254.76158
Abels, Helmut
156
2009
Existence of weak solutions for a diffuse interface model for viscous, incompressible fluids with general densities. Zbl 1165.76050
Abels, Helmut
61
2009
Existence of weak solutions for a non-classical sharp interface model for a two-phase flow of viscous, incompressible fluids. Zbl 1181.35343
Abels, Helmut; Röger, Matthias
32
2009
On Stokes operators with variable viscosity in bounded and unbounded domains. Zbl 1172.35050
Abels, Helmut; Terasawa, Yutaka
30
2009
Longtime behavior of solutions of a Navier-Stokes/Cahn-Hilliard system. Zbl 1167.76008
Abels, Helmut
29
2009
The Cauchy problem and the martingale problem for integro-differential operators with non-smooth kernels. Zbl 1196.47037
Abels, Helmut; Kassmann, Moritz
21
2009
On a diffuse interface model for a two-phase flow of compressible viscous fluids. Zbl 1144.35041
Abels, Helmut; Feireisl, Eduard
66
2008
On the trace space of Sobolev space with a radial weight. Zbl 1169.46012
Abels, Helmut; Krbec, Miroslav; Schumacher, Katrin
8
2008
Convergence to equilibrium for the Cahn-Hilliard equation with a logarithmic free energy. Zbl 1121.35018
Abels, Helmut; Wilke, Mathias
81
2007
On generalized solutions of two-phase flows for viscous incompressible fluids. Zbl 1124.35060
Abels, Helmut
32
2007
An analytic approach to purely nonlocal Bellman equations arising in models of stochastic control. Zbl 1119.47048
Abels, Helmut; Kassmann, Moritz
10
2007
On the notion of generalized solutions of viscous incompressible two-phase flows. Zbl 1119.35042
Abels, Helmut
5
2007
Generalized Stokes resolvent equations in an infinite layer with mixed boundary conditions. Zbl 1117.35060
Abels, Helmut
8
2006
The initial-value problem for the Navier-Stokes equations with a free surface in \(L^q\)-Sobolev spaces. Zbl 1105.35072
Abels, Helmut
29
2005
Reduced and generalized Stokes resolvent equations in asymptotically flat layers. II: \(H_\infty\)-calculus. Zbl 1083.35085
Abels, Helmut
18
2005
Pseudodifferential boundary value problems with nonsmooth coefficients. Zbl 1087.35099
Abels, Helmut
15
2005
Reduced and generalized Stokes resolvent equations in asymptotically flat layers. I: Unique solvability. Zbl 1070.35020
Abels, Helmut
14
2005
Resolvent estimates for the Stokes operator on an infinite layer. Zbl 1212.35343
Abels, Helmut; Wiegner, Michael
12
2005
Bounded imaginary power and \(H_{\infty}\)-calculus of the Stokes operator in unbounded domains. Zbl 1109.35084
Abels, Helmut
8
2005
Bounded imaginary powers and \(H_\infty\)-calculus of the Stokes operator in two-dimensional exterior domains. Zbl 1091.35054
Abels, Helmut
7
2005
Stokes equations in asymptotically flat layers. Zbl 1101.35344
Abels, Helmut
1
2005
Stokes equations in asymptotically flat domains and the motion of a free surface. Zbl 1028.35117
Abels, Helmut
7
2003
Boundedness of imaginary powers of the Stokes operator in an infinite layer. Zbl 1030.35131
Abels, Helmut
8
2002
\(L_q\)-\(L_r\)-estimates for non-stationary Stokes equations in an aperture domain. Zbl 1027.35087
Abels, Helmut
2
2002
all top 5

Cited by 958 Authors

54 Abels, Helmut
34 Grasselli, Maurizio
33 Garcke, Harald
22 Wu, Hao
20 Gal, Ciprian Gheorghe Sorin
17 Giorgini, Andrea
13 Miranville, Alain M.
13 Tachim Medjo, Theodore
11 Dong, Suchuan
11 Lam, Kei Fong
10 Nürnberg, Robert
10 Rocca, Elisabetta
10 Shibata, Yoshihiro
9 Frigeri, Sergio
9 Grubb, Gerd
9 Kahle, Christian
9 Knopf, Patrik
9 Liu, Chun
9 Schimperna, Giulio
9 Yang, Xiaofeng
8 Sprekels, Jürgen
8 Van Brummelen, Harald
8 Wise, Steven M.
7 Colli, Pierluigi
7 Feireisl, Eduard
7 Han, Daozhi
7 Liu, Yuning
7 Lowengrub, John Samuel
7 Metzger, Stefan
7 Poiatti, Andrea
7 Wang, Xiaoming
6 Aland, Sebastian
6 Behrndt, Jussi
6 Davoli, Elisa
6 Giga, Yoshikazu
6 Gilardi, Gianni
6 Guo, Zhenlin
6 Hintermüller, Michael
6 Hinze, Michael
6 Huang, Ziyang
6 Keil, Tobias
6 Kou, Jisheng
6 Lin, Ping
6 Matioc, Bogdan-Vasile
6 Nochetto, Ricardo Horacio
6 Scarpa, Luca
6 Temam, Roger Meyer
6 Wang, Cheng
6 Yang, Zhiguo
5 Ardekani, Arezoo M.
5 Chen, Wenbin
5 Deugoue, Gabriel
5 Ding, Shijin
5 Ebenbeck, Matthias
5 Geissert, Matthias
5 Grün, Günther
5 Hieber, Matthias
5 Kotschote, Matthias
5 Li, Yinghua
5 Lin, Guang
5 Moser, Maximilian
5 Saito, Hirokazu
5 Shimizu, Senjo
5 Terasawa, Yutaka
5 Vojnović, Ivana
5 Wang, Wei
5 Zhao, Jia
5 Zhao, Xiaopeng
4 Brunk, Aaron
4 Chen, Chuanjun
4 Chen, Yazhou
4 Di Primio, Andrea
4 Fei, Mingwen
4 Giesselmann, Jan
4 Gómez, Héctor J.
4 Kaßmann, Moritz
4 Knabner, Peter
4 Liang, Zhilei
4 Liero, Matthias
4 Liu, Qiao
4 Lukáčová-Medviďová, Mária
4 Maekawa, Yasunori
4 Miura, Hideyuki
4 Mora, Maria Giovanna
4 Münch, Andreas
4 Petcu, Madalina
4 Saal, Jürgen
4 Shokrpour Roudbari, Mahnaz
4 Sun, Shuyu
4 Wang, Qi
4 Weber, Josef
4 Wilke, Mathias
4 Xu, Xiang
4 You, Bo
4 Zhang, Zhifei
3 Abe, Ken
3 Aid, Omar Farouk
3 Balashov, Vladislav
3 Bänsch, Eberhard
3 Barrett, John William
...and 858 more Authors
all top 5

Cited in 184 Serials

51 Journal of Computational Physics
46 Journal of Differential Equations
28 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
28 Journal of Mathematical Fluid Mechanics
25 Journal of Mathematical Analysis and Applications
24 SIAM Journal on Mathematical Analysis
20 Computer Methods in Applied Mechanics and Engineering
19 Archive for Rational Mechanics and Analysis
15 Journal of Scientific Computing
13 Mathematical Methods in the Applied Sciences
13 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
13 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
13 Discrete and Continuous Dynamical Systems. Series S
12 Journal of Functional Analysis
11 Discrete and Continuous Dynamical Systems
10 Computers & Mathematics with Applications
10 Journal of Nonlinear Science
10 Nonlinear Analysis. Real World Applications
10 Communications on Pure and Applied Analysis
9 Mathematische Nachrichten
9 Calculus of Variations and Partial Differential Equations
9 NoDEA. Nonlinear Differential Equations and Applications
9 Journal of Evolution Equations
8 Journal of Fluid Mechanics
8 Nonlinearity
8 Communications in Partial Differential Equations
8 Interfaces and Free Boundaries
7 Applicable Analysis
7 European Journal of Applied Mathematics
7 Discrete and Continuous Dynamical Systems. Series B
7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
6 Computers and Fluids
6 Journal of Mathematical Physics
6 ZAMP. Zeitschrift für angewandte Mathematik und Physik
6 Applied Mathematics and Optimization
6 SIAM Journal on Numerical Analysis
6 SIAM Journal on Applied Mathematics
6 Potential Analysis
6 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
6 Journal of Pseudo-Differential Operators and Applications
5 Mathematische Annalen
5 Applied Mathematics Letters
5 Communications in Computational Physics
4 Annali di Matematica Pura ed Applicata. Serie Quarta
4 Journal of the Mathematical Society of Japan
4 Asymptotic Analysis
4 Journal of Elliptic and Parabolic Equations
4 Electronic Research Archive
3 Advances in Mathematics
3 Integral Equations and Operator Theory
3 Journal of Computational and Applied Mathematics
3 SIAM Journal on Control and Optimization
3 Chinese Annals of Mathematics. Series B
3 Physica D
3 Applied Numerical Mathematics
3 Applications of Mathematics
3 Journal of Elasticity
3 Journal de Mathématiques Pures et Appliquées. Neuvième Série
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 SIAM Journal on Scientific Computing
3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
3 Computational Geosciences
3 Multiscale Modeling & Simulation
3 Science China. Mathematics
3 Advances in Nonlinear Analysis
2 Communications in Mathematical Physics
2 Computer Physics Communications
2 International Journal of Engineering Science
2 Inverse Problems
2 Applied Mathematics and Computation
2 Archiv der Mathematik
2 BIT
2 Czechoslovak Mathematical Journal
2 International Journal for Numerical Methods in Engineering
2 Numerische Mathematik
2 Osaka Journal of Mathematics
2 Continuum Mechanics and Thermodynamics
2 Russian Journal of Numerical Analysis and Mathematical Modelling
2 Advances in Computational Mathematics
2 The Journal of Fourier Analysis and Applications
2 Annals of Mathematics. Second Series
2 Communications in Nonlinear Science and Numerical Simulation
2 Annales Henri Poincaré
2 Portugaliae Mathematica. Nova Série
2 Acta Mathematica Scientia. Series B. (English Edition)
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Stochastics and Dynamics
2 Milan Journal of Mathematics
2 Analysis and Applications (Singapore)
2 Journal of Hyperbolic Differential Equations
2 Mediterranean Journal of Mathematics
2 Oberwolfach Reports
2 Boundary Value Problems
2 Complex Variables and Elliptic Equations
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
2 AIMS Mathematics
2 Journal of Computational Physics: X
1 Communications on Pure and Applied Mathematics
1 Journal of Statistical Physics
1 Mathematical Notes
...and 84 more Serials
all top 5

Cited in 37 Fields

607 Partial differential equations (35-XX)
454 Fluid mechanics (76-XX)
159 Numerical analysis (65-XX)
74 Mechanics of deformable solids (74-XX)
66 Operator theory (47-XX)
43 Statistical mechanics, structure of matter (82-XX)
42 Biology and other natural sciences (92-XX)
41 Classical thermodynamics, heat transfer (80-XX)
39 Probability theory and stochastic processes (60-XX)
37 Calculus of variations and optimal control; optimization (49-XX)
32 Dynamical systems and ergodic theory (37-XX)
26 Functional analysis (46-XX)
21 Integral equations (45-XX)
20 Differential geometry (53-XX)
17 Harmonic analysis on Euclidean spaces (42-XX)
17 Geophysics (86-XX)
11 Global analysis, analysis on manifolds (58-XX)
10 Real functions (26-XX)
7 Systems theory; control (93-XX)
5 Ordinary differential equations (34-XX)
5 Optics, electromagnetic theory (78-XX)
5 Quantum theory (81-XX)
4 Measure and integration (28-XX)
4 Operations research, mathematical programming (90-XX)
3 Linear and multilinear algebra; matrix theory (15-XX)
3 Potential theory (31-XX)
3 Approximations and expansions (41-XX)
3 Integral transforms, operational calculus (44-XX)
2 General and overarching topics; collections (00-XX)
1 Functions of a complex variable (30-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Special functions (33-XX)
1 Sequences, series, summability (40-XX)
1 General topology (54-XX)
1 Statistics (62-XX)
1 Computer science (68-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year