# zbMATH — the first resource for mathematics

## Advances in Mathematical Sciences and Applications

 Short Title: Adv. Math. Sci. Appl. Publisher: Gakkōtosho, Tokyo ISSN: 1343-4373 Online: http://mcm-www.jwu.ac.jp/~aikit/AMSA/current.html Comments: Indexed cover-to-cover
 Documents Indexed: 900 Publications (since 1992)
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#### Latest Issues

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#### Authors

 27 Kenmochi, Nobuyuki 17 Agarwal, Ravi P. 14 Yamazaki, Noriaki 13 Shirakawa, Ken 13 Sprekels, Jürgen 12 Hoffmann, Karl-Heinz 12 Kubrusly, Carlos S. 12 Oharu, Shinnosuke 12 Ôtani, Mitsuharu 11 Aiki, Toyohiko 10 Ito, Akio 9 Efendiev, Messoud 9 Imai, Hitoshi 9 Suzuki, Takashi 9 Yamada, Yoshio 8 Alt, Hans Wilhelm 8 Giga, Yoshikazu 8 Niezgódka, Marek 8 Omata, Seiro 7 Bressan, Glaucia Maria 7 Colli, Pierluigi 7 Fasano, Antonio 7 Muntean, Adrian 7 Nakao, Mitsuhiro 7 Tani, Atusi 6 Boulanouar, Mohamed 6 Farina, Angiolo 6 Gianni, Roberto 6 Senba, Takasi 5 Chipot, Michel 5 Garcke, Harald 5 Grasselli, Maurizio 5 Kadoya, Atsushi 5 Kumazaki, Kota 5 Murase, Yusuke 5 Primicerio, Mario 5 Shillor, Meir 5 Sofonea, Mircea 5 Švadlenka, Karel 4 Biroli, Marco 4 Buttazzo, Giuseppe 4 Comparini, Elena 4 Frémond, Michel 4 Fukao, Takeshi 4 Fusi, Lorenzo 4 Khludnev, Aleksandr Mikhaĭlovich 4 Klein, Olaf 4 Kubo, Masahiro 4 Kusano, Takaŝi 4 Lancia, Maria Rosaria 4 Luterotti, Fabio 4 Miyakawa, Tetsuro 4 Ono, Kosuke 4 Pawlow, Irena 4 Takeuchi, Toshiki 4 Tanigawa, Tomoyuki 4 Tiba, Dan 4 Watanabe, Hiroshi 4 Witterstein, Gabriele 4 Yagi, Atsushi 4 Yokota, Tomomi 3 Asfaw, Teffera M. 3 Bagagiolo, Fabio 3 Bellettini, Giovanni 3 Bonfanti, Giovanna 3 Bucur, Dorin 3 Dal Maso, Gianni 3 Deshmukh, Kishor Chintanamrao 3 Diaz Diaz, Jesus Ildefonso 3 Donato, Patrizia 3 Duggal, Bhagwati Prashad 3 Ebihara, Yukiyoshi 3 Furuya, Kiyoko 3 Gilardi, Gianni 3 Haslinger, Jaroslav 3 Henrot, Antoine 3 Hirose, Munemitsu 3 Hoshiga, Akira 3 Hui, Kin Ming 3 Ishii, Katsuyuki 3 Ishimura, Naoyuki 3 Kano, Risei 3 Kartsatos, Athanassios G. 3 Kato, Nobuyuki 3 Kawarada, Hideo 3 Krejčí, Pavel 3 Kunisch, Karl 3 Kushida, Masahiro 3 Kuttler, Kenneth L. jun. 3 Mannucci, Paola 3 Maruo, Kenji 3 Mastroeni, Loretta 3 Matsumoto, Toshitaka 3 Meirmanov, Anvarbek Mukatovich 3 Minchev, Emil 3 Miranville, Alain M. 3 Nagai, Toshitaka 3 Nakashima, Kimie 3 Ohara, Katsuyoshi 3 Okazaki, Takanobu ...and 940 more Authors
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#### Fields

 632 Partial differential equations (35-XX) 141 Mechanics of deformable solids (74-XX) 118 Calculus of variations and optimal control; optimization (49-XX) 116 Operator theory (47-XX) 113 Fluid mechanics (76-XX) 96 Ordinary differential equations (34-XX) 72 Classical thermodynamics, heat transfer (80-XX) 66 Numerical analysis (65-XX) 61 Biology and other natural sciences (92-XX) 44 Statistical mechanics, structure of matter (82-XX) 33 Dynamical systems and ergodic theory (37-XX) 33 Integral equations (45-XX) 23 Global analysis, analysis on manifolds (58-XX) 18 Functional analysis (46-XX) 17 Operations research, mathematical programming (90-XX) 16 Systems theory; control (93-XX) 15 Optics, electromagnetic theory (78-XX) 13 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Geophysics (86-XX) 10 Measure and integration (28-XX) 9 Real functions (26-XX) 8 Functions of a complex variable (30-XX) 8 Potential theory (31-XX) 8 Differential geometry (53-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 7 Computer science (68-XX) 6 General topology (54-XX) 5 Probability theory and stochastic processes (60-XX) 5 Statistics (62-XX) 5 Mechanics of particles and systems (70-XX) 3 History and biography (01-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Special functions (33-XX) 3 Difference and functional equations (39-XX) 3 Abstract harmonic analysis (43-XX) 3 Integral transforms, operational calculus (44-XX) 3 Information and communication theory, circuits (94-XX) 2 General and overarching topics; collections (00-XX) 2 Mathematical logic and foundations (03-XX) 2 Combinatorics (05-XX) 2 Algebraic topology (55-XX) 2 Manifolds and cell complexes (57-XX) 2 Relativity and gravitational theory (83-XX) 1 Field theory and polynomials (12-XX) 1 Algebraic geometry (14-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Convex and discrete geometry (52-XX) 1 Quantum theory (81-XX) 1 Astronomy and astrophysics (85-XX)

#### Citations contained in zbMATH Open

540 Publications have been cited 3,439 times in 2,857 Documents Cited by Year
Blow-up of radially symmetric solutions to a chemotaxis system. Zbl 0843.92007
Nagai, Toshitaka
1995
Local and global solvability of some parabolic systems modelling chemotaxis. Zbl 0913.35021
Biler, Piotr
1998
Attractors for a damped hyperbolic equation with linear memory. Zbl 0999.35014
2001
Global solutions to some parabolic-elliptic systems of chemotaxis. Zbl 0941.35009
Biler, Piotr
1999
Global existence and blow-up of radial solutions to a parabolic-elliptic system of chemotaxis. Zbl 0902.35010
Nagai, Toshitaka; Senba, Takasi
1998
A free boundary problem for a reaction-diffusion equation appearing in ecology. Zbl 1254.35248
2011
The Cahn-Hilliard equation: Mathematical and modeling perspectives. Zbl 0917.35044
Novick-Cohen, A.
1998
On a motion of a solid body in a viscous fluid. Two-dimensional case. Zbl 0966.76016
Hoffmann, K.-H.; Starovoitov, V. N.
1999
Abstract parabolic quasilinear equations and application to a groundwater flow problem. Zbl 0811.35040
Clément, Philippe; Li, Shuanhu
1994
Global existence for a chemotaxis-growth system in $$\mathbb R^2$$. Zbl 1054.35111
Osaki, Koichi; Yagi, Atsushi
2002
Global solution to a nonlinear system for irreversible phase changes. Zbl 0956.35122
Bonfanti, Giovanna; Frémond, Michel; Luterotti, Fabio
2000
Existence results for some optimal partition problems. Zbl 0915.49006
Bucur, Dorin; Buttazzo, Giuseppe; Henrot, Antoine
1998
Homogenization of a two-component composite with interfacial thermal barrier. Zbl 1052.35022
Monsurrò, Sara
2003
Some structures of the solution set for a stationary system of chemotaxis. Zbl 0999.35031
Senba, Takasi; Suzuki, Takashi
2000
Quasi-linear elliptic and parabolic equations in $$L^ 1$$ with nonlinear boundary conditions. Zbl 0882.35048
Andreu, F.; Mazón, J. M.; Segura de León, S.; Toledo, J.
1997
Global attractors for some quasi-linear wave equations with a strong dissipation. Zbl 1145.35044
Nakao, Mitsuhiro; Yang, Zhijian
2007
Some results on the asymptotic behavior of the Caginalp system with singular potentials. Zbl 1145.35042
Cherfils, Laurence; Miranville, Alain
2007
One-dimensional models of damage. Zbl 0915.73041
Frémond, Michel; Kuttler, Kenneth L.; Nedjar, B.; Shillor, Meir
1998
A modelling of elastic adhesive bounded joints. Zbl 0892.73007
Licht, Christian; Michaille, Gérard
1997
Remarks on blowup of solutions for nonlinear evolution equations of second order. Zbl 0920.35025
Ohta, Masahito
1998
Weak solutions to the Navier-Stokes-Poisson equation. Zbl 1162.35002
Kobayashi, Takayuki; Suzuki, Takashi
2008
Existence results for diffusive surface motion laws. Zbl 0876.35050
Elliott, Charles M.; Garcke, Harald
1997
Symmetrization in a parabolic-elliptic system related to chemotaxis. Zbl 0859.35004
Diaz, Jesus Ildefonso; Nagai, Toshitaka
1995
The dynamics of elastic shocks via epigraphical regularization of a differential inclusion. Barrier and penalty approximations. Zbl 1038.49029
Attouch, H.; Cabot, A.; Redont, P.
2002
On Massera’s theorem for anti-periodic solution. Zbl 0924.34037
Chen, Y. Q.
1999
The Cahn-Hilliard equation for deformable elastic continua. Zbl 0987.35156
Carrive, M.; Miranville, A.; Piétrus, A.
2000
Nonlocal models of phase transitions in solids. Zbl 0977.74044
Chen, C.-K.; Fife, P. C.
2000
Instability of optical solitons for two-wave interaction model in cubic nonlinear media. Zbl 0922.35163
Tsutsumi, Yoshio; Zhang, Jian
1998
Principal solutions of non-oscillatory half-linear differential equations. Zbl 0914.34031
Elbert, Árpád; Kusano, Takaŝi
1998
Asymptotic convergence of transmission energy forms. Zbl 1205.35129
Lancia, M. R.; Vivaldi, M. A.
2003
Existence and behavior of solutions for $$u_ t = \Delta (u^ m) + u^ \ell$$. Zbl 0876.35061
1997
Disappearing interfaces in nonlinear diffusion. Zbl 0891.35071
Guedda, M.; Hilhorst, D.; Peletier, M. A.
1997
Quasivariational inequalities and applications in frictional contact problems with normal compliance. Zbl 0977.47057
Motreanu, Dumitru; Sofonea, Mircea
2000
Weak solutions and maximal regularity for abstract evolution inequalities. Zbl 0858.35073
Savaré, Giuseppe
1996
The initial value problems for quasilinear wave equations in two space dimensions with small data. Zbl 0829.35080
Hoshiga, Akira
1995
On the entropy principle of phase transition models with a conserved order parameter. Zbl 0855.35122
Alt, Hans Wilhelm; Pawlow, Irena
1996
Necessary conditions and sufficient conditions for global existence in the nonlinear Schrödinger equation. Zbl 1330.35393
Bégout, Pascal
2002
Uniqueness results for equations of the $$p(x)$$-Laplacian type. Zbl 1132.35362
Antontsev, S.; Chipot, M.; Xie, Y.
2007
Decay properties of weak solutions to a perturbed Navier-Stokes system in $$\mathbb{R}^n$$. Zbl 0893.35092
Chen, Zhimin; Miyakawa, Tetsuro
1997
Existence of attractor for the quasi-geostrophic approximation of the Navier-Stokes equations and estimate of its dimension. Zbl 0815.76086
Bernier, Christine
1994
Quasistatic frictional contact of a viscoelastic piezoelectric body. Zbl 1078.74036
Sofonea, Mircea; Essoufi, El-Hassan
2004
Existence of weak solutions for Cahn-Hilliard systems coupled with elasticity and damage. Zbl 1253.35179
Heinemann, Christian; Kraus, Christiane
2011
Rigidity and one-dimensional symmetry for semilinear elliptic equations in the whole of $$\mathbb R^N$$ and in half spaces. Zbl 1078.35036
Farina, Alberto
2003
Nonlinear and non-coercive elliptic problems with integrable data. Zbl 1215.35066
Ben Cheikh Ali, Mohsen; Guibé, Olivier
2006
Attractors and their regularity for 2-D wave equations with nonlinear damping. Zbl 1145.35045
Pata, Vittorino; Zelik, Sergey
2007
Existence and regularity results for some nonlinear parabolic equations. Zbl 0962.35093
Boccardo, Lucio; Dall’Aglio, Andrea; Gallouët, Thierry; Orsina, Luigi
1999
Numerical studies of a non-stationary Ginzburg-Landau model for superconductivity. Zbl 0846.65051
Chen, Zhiming; Hoffmann, K.-H.
1995
On some analogy between different approaches to first order PDE’s with non smooth coefficients. Zbl 0865.35032
Capuzzo Dolcetta, I.; Perthame, B.
1996
Exponential stability of a viscoelastic Timoshenko beam. Zbl 0899.73172
Liu, Zhuangyi; Peng, Chang
1998
The conserved phase-field system with memory. Zbl 0982.80006
Colli, P.; Gilardi, G.; Grasselli, M.; Schimperna, G.
2001
Optimal control problems for models of phase-field type with hysteresis of play operator. Zbl 1287.49005
Hoffmann, Karl-Heinz; Kenmochi, Nobuyuki; Kubo, Masahiro; Yamazaki, Noriaki
2007
Extension of the Brezis-Ekeland-Nayroles priniciple to monotone operators. Zbl 1191.47067
Visintin, Augusto
2008
$$L^ 1$$-contraction and uniqueness for unstationary saturated-unsaturated porous media flow. Zbl 0888.35085
Otto, Felix
1997
Two-norm approach in stability and sensitivity analysis of optimization and optimal control problems. Zbl 0791.49015
Malanowski, K.
1993
A variational approach to constructing weak solutions of semilinear hyperbolic systems. Zbl 0826.35015
Tachikawa, Atsushi
1994
Existence and uniqueness of local classical solutions to modified tumor invasion models of Chaplain-Anderson type. Zbl 1328.35110
Fujie, Kentarou; Ito, Akio; Yokota, Tomomi
2014
On some mixed boundary value problems with nonlocal diffusion. Zbl 1064.35083
Chang, N.-H.; Chipot, M.
2004
Type-II blowup of solutions to an elliptic-parabolic system. Zbl 1147.35013
Mizoguchi, Noriko; Senba, Takasi
2007
Dirichlet problem for a degenerated hyperbolic-parabolic equation. Zbl 1103.35058
Vallet, Guy
2005
The periodic unfolding method for the wave equation in domains with Holes. Zbl 1295.35043
Donato, Patrizia; Yang, Zhanying
2012
Weak solutions of nonlinear systems for non-isothermal phase transitions. Zbl 0930.35037
1999
On a nonlocal model of non-isothermal phase separation. Zbl 1039.80001
Gajewski, Herbert
2002
Thermally driven phase transformation in shape-memory alloys. Zbl 1138.49014
2007
The entropy principle for interfaces. Fluids and solids. Zbl 1194.35003
Alt, Hans Wilhelm
2009
Semismooth Newton methods for a class of unilaterally constrained variational problems. Zbl 1083.49023
Hintermüller, M.; Kovtunenko, V.; Kunisch, K.
2004
On nonoscillatory solutions of differential equations with $$p$$-Laplacian. Zbl 0996.34039
Cecchi, M.; Došlá, Z.; Marini, M.
2001
Global solution to the Penrose-Fife phase-field model with zero interfacial energy and Fourier law. Zbl 0930.35036
Colli, Pierluigi; Sprekels, Jürgen
1999
New sufficient conditions for regularity of solutions to the Navier-Stokes equations. Zbl 1039.35077
He, Cheng
2002
Convergence results for parabolic transmission problems across highly conductive layers with small capacity. Zbl 1137.35042
Lancia, Maria Rosaria; Vernole, Paola
2006
Analysis and simulation of a meso-scale model of diffusive resistance of bacterial biofilms to penetration of antibiotics. Zbl 1166.35341
Demaret, Laurent; Eberl, Hermann; Efendiev, Messoud; Lasser, Ruppert
2008
On second-order half-linear oscillations. Zbl 0898.34036
Hoshino, H.; Imabayashi, R.; Kusano, T.; Tanigawa, T.
1998
Uniqueness and nonuniqueness for reaction-diffusion equation with nonlocal boundary condition. Zbl 1183.35174
2009
Heat kernel and resolvent properties for second order elliptic differential operators with general boundary conditions on $$L^p$$. Zbl 1009.35021
Griepentrog, J. A.; Kaiser, H.-C.; Rehberg, J.
2001
Large time behavior of solutions to a quasilinear parabolic equation with a nonlinear boundary condition. Zbl 1194.35055
Fila, Marek; Kawohl, Bernd
2001
On boundedness and stability of solutions of second order linear differential equations with advanced arguments. Zbl 0926.34061
1999
On the regularity of the solutions for transmission problems. Zbl 1136.31311
Lancia, M. R.; Vivaldi, M. A.
2002
Exponential stability and singular limit for a linear thermoelastic plate with memory effects. Zbl 1123.35311
Grasselli, Maurizio; Squassina, Marco
2006
Global solvability and asymptotic stability for the wave equation with nonlinear feedback and source term on the boundary. Zbl 1116.35093
Cavalcanti, M. M.; Domingos Cavalcanti, V. N.; Soriano, J. A.
2006
On the inviscid limit of the two-dimensional Navier-Stokes equations with fractional diffusion. Zbl 1387.35446
Cannone, Marco; Miao, Changxing; Wu, Gang
2008
Existence of solutions for non-isothermal phase separation. Zbl 0794.35072
Alt, Hans Wilhelm; Pawlow, Irena
1992
Blow-up of radially symmetric solutions to some systems of partial differential equations modelling chemotaxis. Zbl 0877.35022
Senba, Takasi
1997
Stefan problems and the Penrose-Fife phase field model. Zbl 0892.35158
Colli, Pierluigi; Sprekels, Jürgen
1997
Discrete Morse semiflows of a functional with free boundary. Zbl 0795.35150
Nagasawa, T.; Omata, S.
1993
Systems of nonlinear parabolic equations for phase change problems. Zbl 0827.35015
1994
The initial value problem for the Navier-Stokes equations with general slip boundary condition. Zbl 0813.35084
Tani, Atusi; Itoh, Shigeharu; Tanaka, Naoto
1994
Interface evolution with Neumann boundary condition. Zbl 0811.35069
Sato, Moto-Hiko
1994
Existence of a universal attractor for a parabolic-hyperbolic phase-field system. Zbl 1057.37068
Grasselli, Maurizio; Pata, Vittorino
2003
Well-posedness of a mathematical model for moisture transport appearing in concrete carbonation process. Zbl 1282.35186
Aiki, Toyohiko; Kumazaki, Kota
2011
A Browder topological degree theory for multi-valued pseudomonotone perturbations of maximal monotone operators. Zbl 1287.47043
Asfaw, Teffera M.; Kartsatos, Athanassios G.
2012
Picone-type inequalities for half-linear elliptic equations and their applications. Zbl 1089.35019
Jaroš, Jaroslav; Takaŝi, Kusano; Yoshida, Norio
2002
Incompressible perfect fluid motion with free boundary of finite depth. Zbl 1038.76008
Ogawa, Masao; Tani, Atusi
2003
Symmetry around the origin for some overdetermined problems. Zbl 1078.35037
Greco, Antonio
2003
Low frequency asymptotics for time-harmonic generalized Maxwell’s equations in nonsmooth exterior domains. Zbl 1119.35098
Pauly, Dirk
2006
Overdetermined problems on ring shaped domains. Zbl 0946.35035
Henrot, A.; Philippin, G. A.; Prébet, H.
1999
Analysis of a quasistatic viscoelastic problem with friction and damage. Zbl 0962.74044
Rochdi, M.; Shillor, M.; Sofonea, M.
2000
Weak solutions to a Penrose-Fife model for phase transitions. Zbl 0829.35148
Laurençot, Ph.
1995
Monotonicity and one-dimensional symmetry for the solutions of $$\Delta u+f(u)=0$$ in $${\mathbb R}^N$$ with possibly discontinuous nonlinearity. Zbl 1029.35013
Farina, Alberto
2001
Gravity-driven separation of oil-water dispersions. Zbl 0984.76094
Rosso, Fabio; Sona, Giuliano
2001
Upscaling of the dynamics of dislocation walls. Zbl 1326.74110
2014
Erratum for the paper: “Homogenization of a two-component composite with interfacial thermal barrier”. Zbl 1069.35500
Monsurrò, S.
2004
A coupled PDE model of high intensity ultrasound heating of biological tissue. I: Well-posedness. Zbl 07377901
Efendiev, M. A.; Murley, J.; Sivaloganathan, S.
2020
Numerical schemes for ordinary differential equations describing shrinking and stretching motion of elastic materials. Zbl 07377911
Aiki, Toyohiko; Kosugi, Chiharu
2020
Well-posedness and regularity for a fractional tumor growth model. Zbl 07377887
Colli, Pierluigi; Gilardi, Gianni; Sprekels, Jürgen
2019
Boundedness in a chemotaxis model with nonlinear diffusion and logistic type source for tumor invasion. Zbl 07377861
Osawa, Ryosuke; Yokota, Tomomi
2018
Existence and uniqueness of local classical solutions to modified tumor invasion models of Chaplain-Anderson type. Zbl 1328.35110
Fujie, Kentarou; Ito, Akio; Yokota, Tomomi
2014
Upscaling of the dynamics of dislocation walls. Zbl 1326.74110
2014
A generalized Neumann solution for the two-phase fractional Lamé-Clapeyron-Stefan problem. Zbl 1327.35413
Roscani, Sabrina D.; Tarzia, Domingo A.
2014
Metric viscosity solutions for Hamilton-Jacobi equations of evolution type. Zbl 1327.35059
Nakayasu, Atsushi
2014
On a nonlocal Cahn-Hilliard equation with a reaction term. Zbl 1334.35127
Melchionna, Stefano; Rocca, Elisabetta
2014
New variational inequality and surjectivity theories for perturbed noncoercive operators and application to nonlinear problems. (New variational inequality and surjectivety theories for perturbed noncoercive operators and application to nonlinear problems.) Zbl 1343.47057
Asfaw, Teffera M.
2014
Quasi-variational inequalities in economic growth models with technological development. Zbl 1322.91037
2014
Numerical solutions for Volterra-Fredholm-Hammerstein integral equations via second kind Chebyshev quadrature collocation algorithm. Zbl 1318.65082
Abd-Elhameed, W. M.; Youssri, Y. H.
2014
Fourth-order total variation flow with Dirichlet condition: characterization of evolution and extinction time estimates. Zbl 1327.35146
Giga, Yoshikazu; Kuroda, Hirotoshi; Matsuoka, Hideki
2014
New results for perturbations of locally defined generalized pseudomonotone operators in Banach spaces. Zbl 1318.47065
Asfaw, T. M.; Kartsatos, A. G.
2014
Phase-field systems for grain boundary motions under isothermal solidifications. Zbl 1333.35125
Shirakawa, Ken; Watanabe, Hiroshi; Yamazaki, Noriaki
2014
Free energy inequality in the limit of phase transition. Zbl 1325.35155
Alt, Hans Wilhelm; Witterstein, Gabriele
2014
On a penalization method for an evolutionary free boundary problem with volume constraint. Zbl 1338.49026
2014
A doubly nonlinear evolution problem related to a model for microwave heating. Zbl 1332.35162
Scarpa, Luca
2014
Compressible-incompressible flows with surface tension. Zbl 1330.35299
Witterstein, Gabriele
2014
Approximation for a new sequence of summation-integral type operators. Zbl 1291.41007
Gupta, Vijay; Agarwal, Ravi P.; Verma, Durvesh Kumar
2013
Parabolic variational inequalities with weakly time-dependent constraints. Zbl 1300.34145
2013
The existence of periodic solutions of some double-diffusive convection system based on Brinkman-Forchheimer equations. Zbl 1292.35020
Ôtani, Mitsuharu; Uchida, Shun
2013
Results on the existence of solution of $$p$$-Laplacian-like equation. Zbl 1470.35168
Wei, Li; Agarwal, Ravi P.; Wong, Patricia J. Y.
2013
Mathematical approach to cardiac hypertrophy for spontaneously hypertensive rats. Zbl 1291.34083
Ito, Akio; Yamamoto, Kazuhiko
2013
Anisotropic total variation flow of non-divergence type on a higher dimensional torus. Zbl 1291.35120
Giga, Mi-Ho; Giga, Yoshikazu; Požár, Norbert
2013
An error estimate of conservative finite difference scheme for the Boussinesq type equations. Zbl 1306.65254
Ichikawa, Kyosuke; Yoshikawa, Shuji
2013
A global model for impact of elastic shells and its numerical implementation. Zbl 1291.35389
Kazama, Masaki; Omata, Seiro; Nagasawa, Takeyuki; Kikuta, Akira; Svadlenka, Karel
2013
Homeomorphisms of exponentially integrable distortion: composition operator. Zbl 1293.30044
Farroni, Fernando; Giova, Raffaella
2013
Global attractors for non-autonomous phase-field systems of grain boundary motion with constraint. Zbl 1291.35012
Yamazaki, Noriaki
2013
Mathematical model for the process of brewing Japanese Sake and its analysis. Zbl 1291.35031
Murase, Yusuke; Ito, Akio
2013
Modeling blood flow in fenestrated capillaries and ultrafiltration in kidney glomeruli. Zbl 1301.92018
Fasano, A.; Farina, A.; Mizerski, J.
2013
Tumor invasion model with a random motility of tumor cells depending upon extracellular matrix. Zbl 1300.35142
Kano, Risei; Ito, Akio
2013
On a global uniform pull-back attractor of a class of PDEs with degenerate diffusion and chemotaxis. Zbl 1302.35062
Efendiev, Messoud; Zhigun, Anna
2013
Large solutions in cylindrical domains. Zbl 1304.35032
Bandle, Catherine; Chipot, Michel
2013
Initial-boundary-value problem for third order equations of Kirchhoff type with variable exponents of nonlinearity. Zbl 1302.35118
Kholyavka, O.; Buhrii, O.; Bokalo, M.; Ayazoglu Mashiyev, R.
2013
Some remarks on elliptic equations under nonlinear and nonlocal Neumann boundary conditions. Zbl 1305.35074
Morbach, Joelma; Corrẽa, Francisco Julio S. A.
2013
Lagrange multipliers in variational inequalities for nonlinear operators of monotone type. Zbl 1300.47081
2013
The periodic unfolding method for the wave equation in domains with Holes. Zbl 1295.35043
Donato, Patrizia; Yang, Zhanying
2012
A Browder topological degree theory for multi-valued pseudomonotone perturbations of maximal monotone operators. Zbl 1287.47043
Asfaw, Teffera M.; Kartsatos, Athanassios G.
2012
Global well-posedness for the rotating Navier-Stokes-Boussinesq equations with stratification effects. Zbl 1283.35086
Koba, Hajime; Mahalov, Alex; Yoneda, Tsuyoshi
2012
Strong solutions to the compressible non-isothermal Navier-Stokes equations. Zbl 1286.76126
Kotschote, Matthias
2012
Coexistence states of a prey-predator model with cross-diffusion and a protection zone. Zbl 1300.92084
Oeda, Kazuhiro
2012
Existence and uniqueness of solutions to nonlinear heat equations with constraints coupled with Navier-Stokes equations in 2D domains. Zbl 1294.35113
Sobajima, Motohiro; Tsuzuki, Yutaka; Yokota, Tomomi
2012
Distributed space scales in a semilinear reaction-diffusion system including a parabolic variational inequality: A well-posedness study. Zbl 1427.35119
Fatima, Tasnim; Muntean, Adrian; Aiki, Toyohiko
2012
A finite element approach to $$H^1$$ extension using prefractals. Zbl 1292.28014
Evans, Emily
2012
Representation of hysteresis of operators acting on vector-valued monotaffine functions. Zbl 06225658
Klein, Olaf
2012
Fighting tax evasion: a cellular automata approach. Zbl 1291.91165
Meacci, Luca; Nuño, Juan Carlos; Primicerio, Mario
2012
The discrete Morse flow for volume-controlled membrane motions. Zbl 1276.35006
2012
Optimal embeddings on critical Sobolev-Lorentz spaces into generalized Morrey spaces. Zbl 1270.46030
2012
Vanishing time relaxation for a phase-field model with entropy balance. Zbl 1292.35043
Girotti, Manuela
2012
Transport equation in unbounded slab geometry: semigroup and spectral properties. Zbl 1347.35074
Boulanouar, M.
2012
Isothermal two-phase flow of a multi-component fluid through a porous medium with capillarity. Zbl 1262.76096
Fusi, L.; Farina, A.; Rosso, F.
2012
Transport equation in unbounded slab geometry: Leading eigenvalue. Zbl 1381.35018
Boulanouar, M.
2012
A free boundary problem for a reaction-diffusion equation appearing in ecology. Zbl 1254.35248
2011
Existence of weak solutions for Cahn-Hilliard systems coupled with elasticity and damage. Zbl 1253.35179
Heinemann, Christian; Kraus, Christiane
2011
Well-posedness of a mathematical model for moisture transport appearing in concrete carbonation process. Zbl 1282.35186
Aiki, Toyohiko; Kumazaki, Kota
2011
A well-posed hysteresis model for flows in porous media and applications to fingering effects. Zbl 1258.76155
Lamacz, Agnes; Rätz, Andreas; Schweizer, Ben
2011
Micro-macro modelling of an array of spheres interacting through lubrication forces. Zbl 1329.35136
Lefebvre-Lepot, Aline; Maury, Bertrand
2011
Phase change flows with mass exchange. Zbl 1256.35069
Witterstein, Gabriele
2011
Initial boundary value problem of Hasegawa-Wakatani equations with vanishing resistivity. Zbl 1235.35268
Kondo, Shintaro; Tani, Atusi
2011
On a ‘balance’ condition for a class of PDEs including porous medium and chemotaxis effect: non-autonomous case. Zbl 1239.35079
Efendiev, Messoud; Zhigun, Anna
2011
Asymptotic periodicity for some classes of integro-differential equations and applications. Zbl 1233.45003
Agarwal, Ravi P.; de Andrade, Bruno; Cuevas, Claudio; Henríquez, Erwin
2011
Quenching behaviour of a nonlocal parabolic MEMS equation. Zbl 1234.35137
Hui, Kin Ming
2011
Large time behaviour of the solution of a parabolic-hyperbolic system modelling the codiffusion of isotopes. Zbl 1253.35017
Comparini, Elena; Ughi, Maura
2011
On a nonlocal viscous phase separation model. Zbl 1243.80009
Farshbaf-Shaker, M. Hassan
2011
Existence of weak solutions for the Stefan problem with anisotropic Gibbs-Thomson law. Zbl 1235.35286
Garcke, Harald; Schaubeck, Stefan
2011
Closed-loop control of a reaction-diffusion system. Zbl 1248.35098
Dudziuk, Grzegorz; Niezgódka, Marek
2011
Homoclinic solutions for second order differential equations generated by impulses. Zbl 1257.34032
Chen, Peng; Tang, X. H.; Agarwal, Ravi P.
2011
Homogenization for the Ginzburg-Landau equation. Zbl 1256.35148
Sauvageot, Myrto
2011
Long-time behavior of the global solutions to an epitaxial thin film model. Zbl 1256.35163
Zheng, Songmu
2011
Theoretical considerations on the computation of generalized time-periodic waves. Zbl 1237.35151
Pauly, Dirk; Rossi, Tuomo
2011
Remarks on two notions of spectral minimal partitions. Zbl 1222.35067
Helffer, Bernard; Hoffmann-Ostenhof, Thomas
2010
A Dirichlet problem with free gradient discontinuity. Zbl 1220.49001
Carriero, Michele; Leaci, Antonio; Tomarelli, Franco
2010
A diffusion problem with gradient constraint depending on the temperature. Zbl 1228.35129
Azevedo, Assis; Santos, Lisa
2010
A class of nonlinear parabolic systems with environmental constraints. Zbl 1242.35138
2010
A temperature-dependent phase segregation problem of the Allen-Cahn type. Zbl 1305.74027
Colli, Pierluigi; Gilardi, Gianni; Podio-Guidugli, Paolo; Sprekels, Jürgen
2010
Existence of solutions to nonlinear parabolic boundary value problems with generalized $$p$$-Laplacian operator. Zbl 1325.47142
Wei, Li; Agarwal, Ravi P.; Wong, Patricia J. Y.
2010
Construction of solutions to heat-type problems with time-dependent volume constraints. Zbl 1234.35136
Ginder, Elliott
2010
On smoothing effect for higher order curvature flow equations. Zbl 1242.35133
Asai, Tomoro
2010
Sharp interface limit of phase change flows. Zbl 1235.35215
Witterstein, G.
2010
On the dynamics of an elastic-rigid material. Zbl 1303.74009
Farina, A.; Fasano, A.; Fusi, L.; Rajagopal, K. R.
2010
An initial-boundary value problem for motion of inhomogeneous incompressible fluid-like bodies. Zbl 1241.35162
Nakano, Naoto; Tani, Atusi
2010
Regular subspaces of tensor products. Zbl 1229.47032
Kubrusly, Carlos S.
2010
Well-posedness of the Helmholtz problem with the multiple DtN boundary condition. Zbl 1237.35034
Koyama, Daisuke
2010
An anisotropic, inhomogeneous, elastically modified Gibbs-Thomson law as singular limit of a diffuse interface model. Zbl 1233.35010
Garcke, Harald; Kraus, Christiane
2010
Small-time existence of a strong solution of primitive equations for the atmosphere. Zbl 1235.35220
2010
Trotter-Kato theorem for weak convergence on Hilbert space cases. Zbl 1231.47037
Furuya, Kiyoko
2010
The entropy principle for interfaces. Fluids and solids. Zbl 1194.35003
Alt, Hans Wilhelm
2009
Uniqueness and nonuniqueness for reaction-diffusion equation with nonlocal boundary condition. Zbl 1183.35174
2009
Existence and uniqueness of solutions to a mathematical model predicting service life of concrete structures. Zbl 1181.35344
2009
Parabolic quasi-variational inequalities with nonlocal constraints. Zbl 1206.35155
Kano, Risei; Kenmochi, Nobuyuki; Murase, Yusuke
2009
Stratigraphic modelling by the way of a pseudoparabolic problem with constraint. Zbl 1182.35151
Antontsev, S. N.; Gagneux, G.; Mokrani, A.; Vallet, G.
2009
Global and touchdown behaviour of the generalized MEMS device equation. Zbl 1196.35126
Hui, Kin Ming
2009
Stability of stationary solutions for a multidimensional free boundary problem modeling tumor growth. Zbl 1243.35161
Hou, Xiumei; Cui, Shangbin
2009
Energy decay to the Cauchy problem of nonlinear Klein-Gordon equations with a sublinear dissipative term. Zbl 1193.35011
Nakao, Mitsuhiro
2009
The Navier-Stokes equations for linearly growing velocity with nondecaying initial disturbance. Zbl 1191.35209
2009
Traveling waves and self-similar solutions in model of free non-isothermal liquid film. Zbl 1238.34091
Meleshko, S. V.; Pukhnachev, V. V.; Pukhnacheva, T. P.
2009
Maximum principle for $$L^p$$-viscosity solutions of fully nonlinear equations with unbounded ingredients and superlinear growth terms. Zbl 1191.35082
Nakagawa, Kazushige
2009
Global in time solution to a class of tumor growth systems. Zbl 1243.35084
Suzuki, Takashi; Takahashi, Ryo
2009
Generalized Cahn-Hilliard equations for multicomponent alloys. Zbl 1251.74004
Miranville, Alain; Schimperna, Giulio
2009
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#### Cited by 3,001 Authors

 43 Miranville, Alain M. 39 Winkler, Michael 38 Colli, Pierluigi 24 Pata, Vittorino 24 Rocca, Elisabetta 21 Grasselli, Maurizio 21 Sprekels, Jürgen 19 Mu, Chunlai 19 Schimperna, Giulio 19 Stefanelli, Ulisse 18 Krejčí, Pavel 18 Sofonea, Mircea 17 Giga, Yoshikazu 17 Gilardi, Gianni 17 Suzuki, Takashi 17 Wang, Mingxin 17 Zheng, Sining 16 Conti, Monica C. 16 Garcke, Harald 16 Shillor, Meir 16 Yang, Zhijian 15 Agarwal, Ravi P. 15 Laurençot, Philippe 15 Qin, Yuming 15 Rossi, Riccarda 15 Zhang, Jian 14 Bonetti, Elena 14 Tan, Zhong 14 Zheng, Jiashan 13 Došlá, Zuzana 13 Lancia, Maria Rosaria 13 Lankeit, Johannes 13 Tachim Medjo, Theodore 12 Akagi, Goro 12 Attouch, Hedy 12 Fernández, Jose Ramon 12 Fujie, Kentarou 12 Liu, Zuhan 11 Aiki, Toyohiko 11 Došlý, Ondřej 11 Gatti, Stefania 11 Kubo, Masahiro 11 Marini, Mauro 11 Marinoschi, Gabriela 11 Nečasová, Šárka 11 Ogawa, Takayoshi 11 Senba, Takasi 10 Asfaw, Teffera M. 10 Biler, Piotr 10 Donato, Patrizia 10 Efendiev, Messoud 10 Farina, Angiolo 10 Fusi, Lorenzo 10 Jin, Hai-Yang 10 Kraus, Christiane 10 Wang, Wei 9 Ambrosio, Luigi 9 Capitanelli, Raffaela 9 Domoshnitsky, Alexander I. 9 Giorgi, Claudio 9 Jiang, Jie 9 Kawashima, Shuichi 9 Kenmochi, Nobuyuki 9 Kubrusly, Carlos S. 9 Perthame, Benoît 9 Prástaro, Agostino 9 Quintanilla de Latorre, Ramón 9 Rehberg, Joachim 9 Rybka, Piotr 9 Świȩch, Andrzej 9 Timoshin, Sergey A. 9 Vernole, Paola Gioia 9 Vivaldi, Maria Agostina 9 Wang, Yifu 9 Zelik, Sergey V. 9 Zhou, Ling 8 Abels, Helmut 8 Bonfanti, Giovanna 8 Bürger, Raimund 8 Calvez, Vincent 8 Carrillo de la Plata, José Antonio 8 Diaz Diaz, Jesus Ildefonso 8 Du, Qiang 8 Farina, Alberto 8 Fukao, Takeshi 8 Heinemann, Christian 8 Ito, Akio 8 Lin, Ke 8 Mercaldo, Anna 8 Migórski, Stanisław 8 Nagai, Toshitaka 8 Omata, Seiro 8 O’Regan, Donal 8 Prüß, Jan Wilhelm 8 Roidos, Nikolaos 8 Roubíček, Tomáš 8 Sugiyama, Yoshie 8 Takahashi, Takéo 8 Tani, Atusi 8 Zhu, Peicheng ...and 2,901 more Authors
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#### Cited in 337 Journals

 220 Journal of Mathematical Analysis and Applications 211 Journal of Differential Equations 188 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 85 Nonlinear Analysis. Real World Applications 77 Mathematical Methods in the Applied Sciences 55 Discrete and Continuous Dynamical Systems 53 Archive for Rational Mechanics and Analysis 47 ZAMP. Zeitschrift für angewandte Mathematik und Physik 43 Applied Mathematics and Computation 37 Discrete and Continuous Dynamical Systems. Series B 36 Applied Mathematics Letters 36 SIAM Journal on Mathematical Analysis 36 Calculus of Variations and Partial Differential Equations 33 Computers & Mathematics with Applications 33 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 33 Journal de Mathématiques Pures et Appliquées. Neuvième Série 30 Journal of Computational and Applied Mathematics 30 Discrete and Continuous Dynamical Systems. Series S 29 Journal of Functional Analysis 29 Applications of Mathematics 29 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 27 Physica D 27 Mathematical and Computer Modelling 26 Journal of Evolution Equations 26 Nonlinear Analysis. Theory, Methods & Applications 25 Communications on Pure and Applied Analysis 25 Boundary Value Problems 24 Transactions of the American Mathematical Society 24 Acta Applicandae Mathematicae 24 NoDEA. Nonlinear Differential Equations and Applications 22 Annali di Matematica Pura ed Applicata. Serie Quarta 20 Zeitschrift für Analysis und ihre Anwendungen 20 Journal of Mathematical Sciences (New York) 19 Quarterly of Applied Mathematics 18 Applicable Analysis 18 Journal of Computational Physics 17 Applied Mathematics and Optimization 17 Comptes Rendus. Mathématique. Académie des Sciences, Paris 16 Nonlinearity 16 Journal of Elasticity 16 Evolution Equations and Control Theory 15 Journal of Mathematical Physics 15 Japan Journal of Industrial and Applied Mathematics 15 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 14 Computer Methods in Applied Mechanics and Engineering 14 Mathematische Annalen 14 Journal of Mathematical Fluid Mechanics 14 Networks and Heterogeneous Media 12 Czechoslovak Mathematical Journal 12 Applied Numerical Mathematics 12 Numerical Methods for Partial Differential Equations 12 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 12 Abstract and Applied Analysis 11 Rocky Mountain Journal of Mathematics 11 Journal of Inequalities and Applications 11 Acta Mathematica Sinica. English Series 11 Mediterranean Journal of Mathematics 10 Communications in Mathematical Physics 10 Journal of Mathematical Biology 10 Journal of Dynamics and Differential Equations 10 Milan Journal of Mathematics 10 Advances in Difference Equations 9 Journal of Optimization Theory and Applications 9 Numerische Mathematik 9 Proceedings of the American Mathematical Society 9 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 9 Potential Analysis 8 International Journal of Engineering Science 8 Journal of the Mathematical Society of Japan 8 Mathematics and Computers in Simulation 8 Chinese Annals of Mathematics. Series B 8 Journal of Scientific Computing 8 Applied Mathematical Modelling 8 Continuum Mechanics and Thermodynamics 7 Journal d’Analyse Mathématique 7 Chaos, Solitons and Fractals 7 SIAM Journal on Control and Optimization 7 Acta Mathematicae Applicatae Sinica. English Series 7 Communications in Nonlinear Science and Numerical Simulation 7 Advances in Nonlinear Analysis 7 Journal of Elliptic and Parabolic Equations 6 Journal of Engineering Mathematics 6 Mathematische Nachrichten 6 Rendiconti del Seminario Matematico della Università di Padova 6 European Journal of Applied Mathematics 6 The Journal of Geometric Analysis 6 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 6 SIAM Journal on Applied Mathematics 6 Computational Optimization and Applications 6 Journal of Convex Analysis 6 Revista Matemática Complutense 6 Interfaces and Free Boundaries 6 Communications in Contemporary Mathematics 6 Differential Equations 6 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 6 Mathematical Modelling of Natural Phenomena 5 Mathematical Biosciences 5 Mathematics of Computation 5 Mathematische Zeitschrift 5 Osaka Journal of Mathematics ...and 237 more Journals
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#### Cited in 51 Fields

 2,211 Partial differential equations (35-XX) 458 Biology and other natural sciences (92-XX) 436 Mechanics of deformable solids (74-XX) 383 Fluid mechanics (76-XX) 301 Calculus of variations and optimal control; optimization (49-XX) 227 Operator theory (47-XX) 225 Numerical analysis (65-XX) 211 Ordinary differential equations (34-XX) 151 Classical thermodynamics, heat transfer (80-XX) 127 Statistical mechanics, structure of matter (82-XX) 120 Dynamical systems and ergodic theory (37-XX) 81 Integral equations (45-XX) 67 Systems theory; control (93-XX) 59 Global analysis, analysis on manifolds (58-XX) 55 Functional analysis (46-XX) 54 Differential geometry (53-XX) 51 Probability theory and stochastic processes (60-XX) 50 Optics, electromagnetic theory (78-XX) 38 Operations research, mathematical programming (90-XX) 36 Measure and integration (28-XX) 28 Real functions (26-XX) 25 Potential theory (31-XX) 25 Geophysics (86-XX) 15 Difference and functional equations (39-XX) 15 Harmonic analysis on Euclidean spaces (42-XX) 15 Mechanics of particles and systems (70-XX) 13 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 12 Quantum theory (81-XX) 11 Information and communication theory, circuits (94-XX) 9 Computer science (68-XX) 8 Approximations and expansions (41-XX) 7 General topology (54-XX) 6 Functions of a complex variable (30-XX) 5 History and biography (01-XX) 5 Special functions (33-XX) 5 Convex and discrete geometry (52-XX) 5 Astronomy and astrophysics (85-XX) 4 Statistics (62-XX) 3 Geometry (51-XX) 3 Manifolds and cell complexes (57-XX) 3 Relativity and gravitational theory (83-XX) 2 Combinatorics (05-XX) 2 Number theory (11-XX) 2 Algebraic geometry (14-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Abstract harmonic analysis (43-XX) 2 Integral transforms, operational calculus (44-XX) 2 Algebraic topology (55-XX) 1 Nonassociative rings and algebras (17-XX) 1 Topological groups, Lie groups (22-XX) 1 Sequences, series, summability (40-XX)