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## Alber, Hans-Dieter

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 Author ID: alber.hans-dieter Published as: Alber, H. D.; Alber, H.-D.; Alber, Hans-Dieter
 Documents Indexed: 54 Publications since 1976, including 4 Books Reviewing Activity: 63 Reviews
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#### Co-Authors

 30 single-authored 7 Zhu, Peicheng 4 Chełmiński, Krzysztof 3 Nesenenko, Sergiy 3 Ramm, Alexander G. 2 Kraynyukova, N. V. 2 Neff, Patrizio 1 Cooper, Jeffery M. 1 Fuchs, Martin 1 Hutter, Kolumban 1 Leis, Rolf 1 Tropea, Cam 1 Tsakmakis, Ch.
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#### Serials

 5 Continuum Mechanics and Thermodynamics 3 Journal of Mathematical Analysis and Applications 3 Mathematische Zeitschrift 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 2 Journal für die Reine und Angewandte Mathematik 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 PAMM. Proceedings in Applied Mathematics and Mechanics 1 Archive for Rational Mechanics and Analysis 1 Communications in Mathematical Physics 1 Inverse Problems 1 Mathematical Methods in the Applied Sciences 1 Mathematische Annalen 1 Mitteilungen der Gesellschaft für Angewandte Mathematik und Mechanik 1 Asymptotic Analysis 1 Roczniki Polskiego Towarzystwa Matematycznego. Seria III. Matematyka Stosowana 1 Journal of Elasticity 1 SIAM Journal on Applied Mathematics 1 Journal of Partial Differential Equations 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Nonlinear Analysis. Real World Applications 1 GAMM-Mitteilungen 1 Bonner Mathematische Schriften 1 Lecture Notes in Mathematics
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#### Fields

 39 Partial differential equations (35-XX) 29 Mechanics of deformable solids (74-XX) 5 Fluid mechanics (76-XX) 4 Optics, electromagnetic theory (78-XX) 3 General and overarching topics; collections (00-XX) 3 Numerical analysis (65-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 History and biography (01-XX) 1 Ordinary differential equations (34-XX) 1 Statistical mechanics, structure of matter (82-XX)

#### Citations contained in zbMATH Open

30 Publications have been cited 265 times in 173 Documents Cited by Year
Materials with memory. Initial-boundary value problems for constitutive equations with internal variables. Zbl 0977.35001
Alber, Hans-Dieter
1998
Notes on strain gradient plasticity: finite strain covariant modelling and global existence in the infinitesimal rate-independent case. Zbl 1160.74009
Neff, Patrizio; Chełmiński, Krzysztof; Alber, Hans-Dieter
2009
Evolving microstructure and homogenization. Zbl 0983.74045
Alber, Hans-Dieter
2000
Solutions to a model with nonuniformly parabolic terms for phase evolution driven by configurational forces. Zbl 1096.35068
Alber, Hans-Dieter; Zhu, Peicheng
2005
Evolution of phase boundaries by configurational forces. Zbl 1117.74045
Alber, Hans-Dieter; Zhu, Peicheng
2007
Quasistatic problems in viscoplasticity theory I: Models with linear hardening. Zbl 1280.74017
Alber, Hans-Dieter; Chełmiński, Krzystof
2004
A quasi-periodic boundary value problem for the Laplacian and the continuation of its resolvent. Zbl 0402.35033
Alber, Hans-Dieter
1979
Quasistatic problems in viscoplasticity theory. II: Models with nonlinear hardening. Zbl 1114.74007
Alber, Hans-Dieter; Chełmiński, Krzysztof
2007
Solutions to a model for interface motion by interface diffusion. Zbl 1168.35024
Alber, Hans-Dieter; Zhu, Peicheng
2008
Existence of three-dimensional, steady, inviscid, incompressible flows with nonvanishing vorticity. Zbl 0772.35049
Alber, Hans-Dieter
1992
Interface motion by interface diffusion driven by bulk energy: justification of a diffusive interface model. Zbl 1272.74522
Alber, Hans-Dieter; Zhu, Peicheng
2011
Solutions to a model with Neumann boundary conditions for phase transitions driven by configurational forces. Zbl 1215.35012
Alber, Hans-Dieter; Zhu, Peicheng
2011
Quasilinear hyperbolic 2$$\times 2$$ systems with a free, damping boundary condition. Zbl 0702.35149
Alber, Hans-Dieter; Cooper, Jeffery
1990
Comparison of a rapidely converging phase field model for interfaces in solids with the Allen-Cahn model. Zbl 1272.35031
Alber, Hans-Dieter; Zhu, Peicheng
2013
Local $$H^1$$-regularity and $$H^{1/3-\delta}$$-regularity up to the boundary in time dependent viscoplasticity. Zbl 1179.35324
Alber, Hans-Dieter; Nesenenko, Sergiy
2009
Local existence of weak solutions to the quasi-linear wave equation for large initial values. Zbl 0581.35049
Alber, Hans-Dieter
1985
Global existence and boundedness of large solutions to nonlinear equations of viscoelasticity with hardening. Zbl 0813.73024
Alber, Hans-Dieter
1995
Initial-boundary value and scattering problems in mathematical physics. Zbl 0687.35065
Alber, Hans-Dieter; Leis, R.
1988
Justification of geometrical optics for non-convex obstacles. Zbl 0463.35047
Alber, Hans-Dieter
1981
Nonconventional thermodynamics, indeterminate couple stress elasticity and heat conduction. Zbl 1365.80004
Alber, H.-D.; Hutter, K.; Tsakmakis, Ch.
2016
Global solutions to an initial boundary value problem for the Mullins equation. Zbl 1142.35006
Alber, Hans-Dieter; Zhu, Peicheng
2007
Justification of homogenized models for viscoplastic bodies with microstructure. Zbl 1329.74238
Alber, Hans-Dieter
2003
Mathematical theory for the inelastic material behaviour of metals. Zbl 0925.73001
Alber, H. D.
1995
Scattering amplitude and algorithm for solving the inverse scattering problem for a class of non-convex obstacles. Zbl 0622.35056
Alber, Hans-Dieter; Ramm, A. G.
1986
Highfrequency asymptotics of the field scattered by an obstacle near tangential rays. Zbl 0519.35019
Alber, Hans-Dieter
1983
Reflection of singularities of solutions to the wave equation and the leading singularity of the scattering kernel. Zbl 0449.35062
Alber, Hans-Dieter
1980
A model for brittle fracture based on the hybrid phase field model. Zbl 1258.74184
Alber, Hans-Dieter
2012
A doubly nonlinear problem associated with a mathematical model for piezoelectric material behavior. Zbl 1232.35164
Kraynyukova, N.; Alber, H.-D.
2012
Asymptotics of the solution to Robin problem. Zbl 1180.35180
Alber, H.-D.; Ramm, A. G.
2009
On the existence in the large of solutions to the one-dimensional, isentropic hydrodynamic equations in a bounded domain. Zbl 0674.35010
Alber, Hans-Dieter
1988
Nonconventional thermodynamics, indeterminate couple stress elasticity and heat conduction. Zbl 1365.80004
Alber, H.-D.; Hutter, K.; Tsakmakis, Ch.
2016
Comparison of a rapidely converging phase field model for interfaces in solids with the Allen-Cahn model. Zbl 1272.35031
Alber, Hans-Dieter; Zhu, Peicheng
2013
A model for brittle fracture based on the hybrid phase field model. Zbl 1258.74184
Alber, Hans-Dieter
2012
A doubly nonlinear problem associated with a mathematical model for piezoelectric material behavior. Zbl 1232.35164
Kraynyukova, N.; Alber, H.-D.
2012
Interface motion by interface diffusion driven by bulk energy: justification of a diffusive interface model. Zbl 1272.74522
Alber, Hans-Dieter; Zhu, Peicheng
2011
Solutions to a model with Neumann boundary conditions for phase transitions driven by configurational forces. Zbl 1215.35012
Alber, Hans-Dieter; Zhu, Peicheng
2011
Notes on strain gradient plasticity: finite strain covariant modelling and global existence in the infinitesimal rate-independent case. Zbl 1160.74009
Neff, Patrizio; Chełmiński, Krzysztof; Alber, Hans-Dieter
2009
Local $$H^1$$-regularity and $$H^{1/3-\delta}$$-regularity up to the boundary in time dependent viscoplasticity. Zbl 1179.35324
Alber, Hans-Dieter; Nesenenko, Sergiy
2009
Asymptotics of the solution to Robin problem. Zbl 1180.35180
Alber, H.-D.; Ramm, A. G.
2009
Solutions to a model for interface motion by interface diffusion. Zbl 1168.35024
Alber, Hans-Dieter; Zhu, Peicheng
2008
Evolution of phase boundaries by configurational forces. Zbl 1117.74045
Alber, Hans-Dieter; Zhu, Peicheng
2007
Quasistatic problems in viscoplasticity theory. II: Models with nonlinear hardening. Zbl 1114.74007
Alber, Hans-Dieter; Chełmiński, Krzysztof
2007
Global solutions to an initial boundary value problem for the Mullins equation. Zbl 1142.35006
Alber, Hans-Dieter; Zhu, Peicheng
2007
Solutions to a model with nonuniformly parabolic terms for phase evolution driven by configurational forces. Zbl 1096.35068
Alber, Hans-Dieter; Zhu, Peicheng
2005
Quasistatic problems in viscoplasticity theory I: Models with linear hardening. Zbl 1280.74017
Alber, Hans-Dieter; Chełmiński, Krzystof
2004
Justification of homogenized models for viscoplastic bodies with microstructure. Zbl 1329.74238
Alber, Hans-Dieter
2003
Evolving microstructure and homogenization. Zbl 0983.74045
Alber, Hans-Dieter
2000
Materials with memory. Initial-boundary value problems for constitutive equations with internal variables. Zbl 0977.35001
Alber, Hans-Dieter
1998
Global existence and boundedness of large solutions to nonlinear equations of viscoelasticity with hardening. Zbl 0813.73024
Alber, Hans-Dieter
1995
Mathematical theory for the inelastic material behaviour of metals. Zbl 0925.73001
Alber, H. D.
1995
Existence of three-dimensional, steady, inviscid, incompressible flows with nonvanishing vorticity. Zbl 0772.35049
Alber, Hans-Dieter
1992
Quasilinear hyperbolic 2$$\times 2$$ systems with a free, damping boundary condition. Zbl 0702.35149
Alber, Hans-Dieter; Cooper, Jeffery
1990
Initial-boundary value and scattering problems in mathematical physics. Zbl 0687.35065
Alber, Hans-Dieter; Leis, R.
1988
On the existence in the large of solutions to the one-dimensional, isentropic hydrodynamic equations in a bounded domain. Zbl 0674.35010
Alber, Hans-Dieter
1988
Scattering amplitude and algorithm for solving the inverse scattering problem for a class of non-convex obstacles. Zbl 0622.35056
Alber, Hans-Dieter; Ramm, A. G.
1986
Local existence of weak solutions to the quasi-linear wave equation for large initial values. Zbl 0581.35049
Alber, Hans-Dieter
1985
Highfrequency asymptotics of the field scattered by an obstacle near tangential rays. Zbl 0519.35019
Alber, Hans-Dieter
1983
Justification of geometrical optics for non-convex obstacles. Zbl 0463.35047
Alber, Hans-Dieter
1981
Reflection of singularities of solutions to the wave equation and the leading singularity of the scattering kernel. Zbl 0449.35062
Alber, Hans-Dieter
1980
A quasi-periodic boundary value problem for the Laplacian and the continuation of its resolvent. Zbl 0402.35033
Alber, Hans-Dieter
1979
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#### Cited by 187 Authors

 22 Neff, Patrizio 19 Chełmiński, Krzysztof 12 Zhu, Peicheng 11 Alber, Hans-Dieter 8 Owczarek, Sebastian 5 Gwiazda, Piotr 5 Schweizer, Ben 5 Wieners, Christian 4 Ducomet, Bernard 4 Monk, Peter B. 4 Nesenenko, Sergiy 4 Ramm, Alexander G. 3 Ghiba, Ionel-Dumitrel 3 Heida, Martin 3 Kisiel, Konrad 3 Klawe, Filip Z. 3 Madeo, Angela 3 Pauly, Dirk 3 Wang, Guodong 2 Abdelrahman, Mahmoud Abdelaziz Elbiomy 2 Ammari, Habib M. 2 Beskos, Dimitri E. 2 Bian, Xingzhi 2 Broese, C. 2 Cao, Xinlin 2 Chen, Chao 2 Colombo, Rinaldo M. 2 Diao, Huaian 2 Ebobisse, François Bille 2 Frehse, Jens 2 Glass, Olivier 2 Jameson Graber, P. 2 Kamiński, Przemyslaw 2 Knees, Dorothee 2 Kostin, Ilya-Nikolaï 2 Kraynyukova, Nataliya 2 Müller, Wolfgang 2 Münch, Ingo 2 Panasenko, Grigory P. 2 Smyshlyaev, Valery P. 2 Świerczewska-Gwiazda, Agnieszka 2 Tang, Yangxin 2 Tsakmakis, Ch. 2 Visintin, Augusto 2 Wahlén, Erik 2 Witsch, Karl Josef 2 Yao, Pengfei 1 Abdessamad, Zouhair 1 Acharya, Amit 1 Acosta, Sebastian 1 Al’ber, Solomon J. 1 Altenbach, Holm 1 Amosov, Andreĭ Avenirovich 1 Árciga-Alejandre, Martín P. 1 Ashour, Mohammed 1 Aylwin, Rubén 1 Basak, Anup 1 Bauer, Sebastian 1 Bertram, Albrecht 1 Böhmer, Christian G. 1 Böttcher, Anke 1 Bruno, Oscar P. 1 Buffoni, Boris 1 Bulíček, Miroslav 1 Cao, Daomin 1 Cheng, Fang 1 Chiricotto, Maria 1 Chugunova, Marina A. 1 Cohen, Gary 1 Cooper, Jeffery M. 1 Cousin, Alfredo Tadeu 1 dell’Isola, Francesco 1 Desch, Wolfgang 1 Deuring, Paul 1 Dobberschütz, Sören 1 Dondl, Patrick Werner 1 Egger, Herbert 1 Elschner, Johannes 1 Engler, Hans 1 Ferreira, Pedro M. Guimaraes 1 Fischle, Andreas 1 Frota, Cicero Lopes 1 Fuchs, Martin 1 Gérard, Christian 1 Giacomelli, Lorenzo 1 Gleń, Łukasz 1 Grandi, Diego 1 Grimmer, Ronald 1 Gupta, Anurag P. 1 Gutman, Semion 1 Han, Xue 1 Hao, Jianghao 1 Heidrich, Andreas 1 Hesch, Christian 1 Hu, Ye 1 Jäpel, Irg 1 Jerez-Hanckes, Carlos 1 Kałamajska, Agnieszka 1 Kamotskii, I. V. 1 Klaus, Frank ...and 87 more Authors
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#### Cited in 54 Serials

 20 Mathematical Methods in the Applied Sciences 14 Journal of Mathematical Analysis and Applications 13 Continuum Mechanics and Thermodynamics 11 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 11 Nonlinear Analysis. Real World Applications 10 Journal of Differential Equations 8 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 7 Mathematics and Mechanics of Solids 6 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 5 Journal of Mathematical Physics 5 GAMM-Mitteilungen 4 Archive for Rational Mechanics and Analysis 4 Computer Methods in Applied Mechanics and Engineering 3 Journal of Elasticity 2 Integral Equations and Operator Theory 2 International Journal for Numerical Methods in Engineering 2 Journal of Computational and Applied Mathematics 2 Communications in Partial Differential Equations 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Annales de l’Institut Henri Poincaré. Physique Théorique 2 Journal of Mathematical Sciences (New York) 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Discrete and Continuous Dynamical Systems. Series S 1 Applicable Analysis 1 Computers & Mathematics with Applications 1 Communications in Mathematical Physics 1 International Journal of Engineering Science 1 Journal of Computational Physics 1 Journal of the Mechanics and Physics of Solids 1 Letters in Mathematical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Mathematics and Computers in Simulation 1 Quarterly of Applied Mathematics 1 Transactions of the American Mathematical Society 1 Zeitschrift für Analysis und ihre Anwendungen 1 Chinese Annals of Mathematics. Series B 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 RAIRO. Modélisation Mathématique et Analyse Numérique 1 Annals of Physics 1 SIAM Journal on Applied Mathematics 1 Calculus of Variations and Partial Differential Equations 1 Numerical Linear Algebra with Applications 1 Journal of Convex Analysis 1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 1 Vietnam Journal of Mathematics 1 European Journal of Mechanics. A. Solids 1 Journal of the European Mathematical Society (JEMS) 1 Journal of Evolution Equations 1 Boundary Value Problems 1 Analysis & PDE 1 Science China. Mathematics 1 Afrika Matematika 1 Electronic Research Archive
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#### Cited in 24 Fields

 119 Partial differential equations (35-XX) 108 Mechanics of deformable solids (74-XX) 20 Optics, electromagnetic theory (78-XX) 19 Numerical analysis (65-XX) 18 Fluid mechanics (76-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 6 Operator theory (47-XX) 6 Classical thermodynamics, heat transfer (80-XX) 6 Statistical mechanics, structure of matter (82-XX) 4 Ordinary differential equations (34-XX) 4 Quantum theory (81-XX) 3 Functional analysis (46-XX) 2 Real functions (26-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Biology and other natural sciences (92-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 Differential geometry (53-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Systems theory; control (93-XX)