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Herrero, Miguel Ángel

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Author ID: herrero.miguel-angel Recent zbMATH articles by "Herrero, Miguel Ángel"
Published as: Herrero, M. A.; Herrero, Miguel A.; Herrero, Miguel Ángel; Herrero, Miguel Angel; Herrero, Miguel Á.; Herrero, M.
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Serials

4 Transactions of the American Mathematical Society
3 Journal of Mathematical Analysis and Applications
3 Mathematische Annalen
3 Physica D
3 European Journal of Applied Mathematics
3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
3 Communications in Partial Differential Equations
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 SIAM Journal on Mathematical Analysis
2 Archive for Rational Mechanics and Analysis
2 Journal of Mathematical Biology
2 Bulletin of Mathematical Biology
2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
2 Journal of Differential Equations
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 Computational Mathematics and Mathematical Physics
2 Comptes Rendus de l’Académie des Sciences. Série I
2 Discrete and Continuous Dynamical Systems
2 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 Nonlinear Analysis. Theory, Methods & Applications
1 Computers & Mathematics with Applications
1 IMA Journal of Applied Mathematics
1 Israel Journal of Mathematics
1 Journal of Engineering Mathematics
1 Mathematical Biosciences
1 Mathematical Methods in the Applied Sciences
1 Nonlinearity
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Applied Mathematics and Computation
1 Journal of Computational and Applied Mathematics
1 Le Matematiche
1 Portugaliae Mathematica
1 Proceedings of the American Mathematical Society
1 Quarterly of Applied Mathematics
1 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques
1 Applied Mathematics Letters
1 Mathematical and Computer Modelling
1 Asymptotic Analysis
1 Differential and Integral Equations
1 Surveys on Mathematics for Industry
1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales de Madrid
1 NoDEA. Nonlinear Differential Equations and Applications
1 Journal of Theoretical Medicine
1 Discrete and Continuous Dynamical Systems. Series B
1 Contemporary Mathematics
1 Networks and Heterogeneous Media
1 Discrete and Continuous Dynamical Systems. Series S
1 Kinetic and Related Models
1 Communications in Applied and Industrial Mathematics
1 Journal of Theoretical Biology

Publications by Year

Citations contained in zbMATH Open

77 Publications have been cited 2,134 times in 1,565 Documents Cited by Year
A blow-up mechanism for a chemotaxis model. Zbl 0904.35037
Herrero, Miguel A.; Velázquez, Juan J. L.
373
1997
Boundedness and blow up for a semilinear reaction-diffusion system. Zbl 0735.35013
Escobedo, M.; Herrero, M. A.
193
1991
Singularity patterns in a chemotaxis model. Zbl 0864.35008
Herrero, Miguel A.; Velázquez, Juan J. L.
119
1996
The Cauchy problem for \(u_ t=\Delta u^ m\) when \(0<m<1\). Zbl 0583.35052
Herrero, Miguel A.; Pierre, Michel
112
1985
A semilinear parabolic system in a bounded domain. Zbl 0806.35088
Escobedo, M.; Herrero, M. A.
109
1993
Chemotactic collapse for the Keller-Segel model. Zbl 0866.92009
Herrero, Miguel A.; Velázquez, Juan J. L.
91
1996
On the Cauchy problem and initial traces for a degenerate parabolic equation. Zbl 0691.35047
DiBenedetto, Emmanuele; Herrero, M. A.
86
1989
Blow-up behaviour of one-dimensional semilinear parabolic equations. Zbl 0813.35007
Herrero, M. A.; Velázquez, J. J. L.
77
1993
Blow up of solutions of supercritical semilinear parabolic equations. (Explosion de solutions d’équations paraboliques semilinéaires supercritiques.) Zbl 0806.35005
Herrero, Miguel A.; Velázquez, Juan J. L.
66
1994
Finite-time aggregation into a single point in a reaction-diffusion system. Zbl 0909.35071
Herrero, M. A.; Medina, E.; Velázquez, J. J. L.
59
1997
Non-negative solutions of the evolution p-Laplacian equation. Initial traces and Cauchy problem when \(1<p<2\). Zbl 0726.35066
DiBenedetto, Emmanuele; Herrero, M. A.
55
1990
On the propagation properties of a nonlinear degenerate parabolic equation. Zbl 0516.35041
Herrero, Miguel A.; Vazquez, Juan Luis
43
1982
Fast blow-up mechanisms for sign-changing solutions of a semilinear parabolic equation with critical nonlinearity. Zbl 0988.35032
Filippas, Stathis; Herrero, Miguel A.; Velázquez, Juan J. L.
43
2000
Liouville theorems and blow up behaviour in semilinear reaction diffusion systems. Zbl 0877.35019
Andreucci, D.; Herrero, M. A.; Velázquez, J. J. L.
42
1997
On the dynamics of social conflicts: looking for the black swan. Zbl 1276.82028
Bellomo, Nicola; Herrero, Miguel A.; Tosin, Andrea
41
2013
Extinction properties of semilinear heat equations with strong absorption. Zbl 0655.35050
Friedman, Avner; Herrero, Miguel A.
38
1987
Asymptotic behaviour of the solutions of a strongly nonlinear parabolic problem. Zbl 0498.35013
Herrero, M. A.; Vazquez, J. L.
33
1981
Flat blow-up in one-dimensional semilinear heat equations. Zbl 0767.35036
Herrero, M. A.; Velázquez, J. J. L.
32
1992
Self-similar blow-up for a reaction-diffusion system. Zbl 0934.35066
Herrero, M. A.; Medina, E.; Velázquez, J. J. L.
32
1998
Blow-up profiles in one-dimensional, semilinear parabolic problems. Zbl 0772.35027
Herrero, M. A.; Velázquez, J. J. L.
31
1992
The one-dimensional nonlinear heat equation with absorption: Regularity of solutions and interfaces. Zbl 0633.35037
Herrero, Miguel A.; Vázquez, Juan L.
27
1987
The mesa problem: diffusion patterns for \(u_ t=\nabla \cdot (u^ m\nabla u)\) as \(m\to +\infty\). Zbl 0655.35034
Elliott, C. M.; Herrero, M. A.; King, J. R.; Ockendon, J. R.
25
1986
Approaching an extinction point in one-dimensional semilinear heat equations with strong absorption. Zbl 0799.35111
Herrero, M. A.; Velázquez, J. J. L.
24
1992
Generic behaviour of one-dimensional blow up patterns. Zbl 0798.35081
Herrero, M. A.; Velázquez, J. J. L.
24
1992
Estimates on the support of the solutions of some nonlinear elliptic and parabolic problems. Zbl 0478.35083
Diaz, J. I.; Herrero, M. A.
24
1981
A uniqueness result for a semilinear reaction-diffusion system. Zbl 0739.35034
Escobedo, M.; Herrero, M. A.
20
1991
Slow and fast invasion waves in a model of acid-mediated tumour growth. Zbl 1178.35120
Fasano, Antonio; Herrero, Miguel A.; Rodrigo, Marianito R.
19
2009
A limit case in nonlinear diffusion. Zbl 0682.35056
Herrero, Miguel A.
17
1989
From microscopic to macroscopic description of multicellular systems and biological growing tissues. Zbl 1121.92025
Bellomo, Nicola; Bellouquid, Abdelghani; Herrero, Miguel A.
17
2007
On the melting of ice balls. Zbl 0876.35137
Herrero, Miguel A.; Velázquez, Juan J. L.
16
1997
A nonlinear Fokker-Planck equation modelling the approach to thermal equilibrium in a homogeneous plasma. Zbl 0933.35090
Escobedo, M.; Herrero, M. A.; Velazquez, J. J. L.
15
1998
On the dynamics of a semilinear heat equation with strong absorption. Zbl 0697.35019
Herrero, M. A.; Velázquez, J. J. L.
13
1989
Thermal waves in absorbing media. Zbl 0665.35035
Herrero, Miguel A.
12
1988
Global existence for reaction-diffusion systems modelling ignition. Zbl 0909.35063
Herrero, Miguel A.; Lacey, Andrew A.; Velázquez, Juan J. L.
12
1998
From the physical laws of tumor growth to modelling cancer processes. Zbl 1094.92037
Brú, Antonio; Herrero, Miguel A.
11
2006
Singularity formation in the one-dimensional supercooled Stefan problem. Zbl 0855.35135
Herrero, Miguel A.; Velázquez, Juan J. L.
10
1996
Localization and blow up of thermal waves in nonlinear heat conduction with peaking. Zbl 0627.35048
Gilding, B. H.; Herrero, M. A.
10
1988
On the role of mathematics in biology. Zbl 1180.92003
Herrero, Miguel A.
9
2007
A mathematical model of a criminal-prone society. Zbl 1207.91053
Nuño, Juan Carlos; Herrero, Miguel Angel; Primicerio, Mario
9
2011
Modelling vascular morphogenesis: current views on blood vessels development. Zbl 1180.35286
Herrero, Miguel Á.; Köhn, Álvaro; Pérez-Pomares, José M.
8
2009
Some results on blow up for semilinear parabolic problems. Zbl 0828.35056
Herrero, M. A.; Velázquez, J. J. L.
8
1993
Sol-gel transition in a coagulation-diffusion model. Zbl 1033.82011
Herrero, M. A.; Velázquez, J. J. L.; Wrzosek, D.
8
2000
The space structure near a blow-up point for semilinear heat equations: A formal approach. Zbl 0747.35014
Velázques, J. J. L.; Galaktionov, V. A.; Herrero, M. A.
7
1991
Comportement générique au voisinage d’un point d’explosion pour des solutions d’équations paraboliques unidimensionnelles. (Generic blow-up behaviour of solutions of one-dimensional semilinear parabolic problems). Zbl 0765.35009
Herrero, Miguel A.; Velázquez, Juan J. L.
7
1992
A model for acid-mediated tumour growth with nonlinear acid production term. Zbl 1365.92047
Holder, Andrew B.; Rodrigo, Marianito R.; Herrero, Miguel A.
6
2014
Cooperation, competition, organization: the dynamics of interacting living populations. Zbl 1325.92007
Herrero, Miguel A.; Soler, Juan
6
2015
Plane structures in thermal runaway. Zbl 0813.35035
Herrero, M. A.; Velázquez, J. J. L.
6
1993
Extinction and positivity for a system of semilinear parabolic variational inequalities. Zbl 0754.35077
Friedman, Avner; Herrero, Miguel A.
5
1992
Stability analysis of a closed thermosyphon. Zbl 0701.76086
Herrero, M. A.; Velazquez, J. J. L
5
1990
Travelling wave solutions to a semilinear diffusion system. Zbl 0705.35069
Esquinas, J.; Herrero, M. A.
5
1990
Approaching a vertex in a shrinking domain under a nonlinear flow. Zbl 1064.35085
Herrero, M. A.; Ughi, M.; Velázquez, J. J. L.
5
2004
Ultrasound detection of externally induced microthrombi cloud formation: a theoretical study. Zbl 1192.92024
Guria, G. T.; Herrero, M. A.; Zlobina, K. E.
4
2010
A mathematical model of blood coagulation induced by activation sources. Zbl 1170.92015
Guria, Georgy Th.; Herrero, Miguel A.; Zlobina, Ksenia E.
4
2009
Selecting radiotherapy dose distributions by means of constrained optimization problems. Zbl 1297.92038
Alfonso, J. C. L.; Buttazzo, G.; García-Archilla, B.; Herrero, M. A.; Núñez, L.
4
2014
Bone formation: biological aspects and modelling problems. Zbl 1078.92007
Herrero, Miguel A.; López, José M.
4
2005
A note on the dissolution of spherical crystals. Zbl 0979.35147
Herraiz, Luis A.; Herrero, Miguel A.; Velázquez, Juan J. L.
4
2001
A class of optimization problems in radiotherapy dosimetry planning. Zbl 1398.92121
López Alfonso, Juan Carlos; Buttazzo, Giuseppe; García-Archilla, Bosco; Herrero, Miguel A.; Núñez, Luis
4
2012
A note on Smoluchowski’s equations with diffusion. Zbl 1089.35080
Herrero, M. A.; Rodrigo, M.
3
2005
Fractal analysis and tumour growth. Zbl 1149.92016
Brú, A.; Casero, D.; de Franciscis, S.; Herrero, M. A.
3
2008
Fighting cheaters: how and how much to invest. Zbl 1233.91224
Nuño, Juan Carlos; Herrero, Miguel Ángel; Primicerio, Mario
3
2010
Reaction-diffusion systems: a mathematical biology approach. Zbl 1337.92059
Herrero, Miguel A.
3
2003
The birth of a cusp in the two-dimensional undercooled Stefan problem. Zbl 1040.35147
Herrero, M. A.; Medina, E.; Velázquez, J. J. L.
3
2000
On the growth of filamentary structures in planar media. Zbl 1058.35101
Andreucci, D.; Herrero, M. A.; Velázquez, J. J. L.
3
2004
Asymptotic properties of reaction-diffusion systems modeling chemotaxis. Zbl 1006.35052
Herrero, M. A.
3
2000
The classical one-phase Stefan problem: a catalog of interface behaviors. Zbl 1048.76058
Andreucci, Daniele; Herrero, Miguel A.; Velázquez, Juan J. L.
3
2001
On a general approach to extinction and blow-up for quasi-linear heat equations. Zbl 0823.35085
Velázquez, J. J. L.; Galaktionov, V. A.; Posashkov, S. A.; Herrero, M. A.
3
1993
On the support of solutions of certain nonlinear parabolic problems. Zbl 0486.35015
Herrero, M. A.
3
1981
The structure of solutions near an extinction point in a semilinear heat equation with strong absorption: A formal approach. Zbl 0792.35079
Galaktionov, V. A.; Herrero, M. A.; Velázquez, J. J. L.
2
1992
The mathematics of chemotaxis. Zbl 1209.35141
Herrero, M. A.
2
2007
A nonlinear nonlocal wave equation arising in combustion theory. Zbl 0702.35171
Friedman, Avner; Herrero, Miguel A.
2
1990
Radiation dynamics in homogeneous plasma. Zbl 0958.82048
Escobedo, M.; Herrero, M. A.; Velazquez, J. J. L.
2
1999
Models of aggregation in Dictyostelium discoideum: on the track of spiral waves. Zbl 1108.92014
Herrero, M. A.; Sastre, L.
2
2006
Remarks on accessible steady states for some coagulation-fragmentation systems. Zbl 1126.34003
Herrero, Miguel A.; Rodrigo, Marianito R.
1
2007
Planar cracks running along piecewise linear paths. Zbl 1041.74062
Herrero, M. A.; Oleaga, G. E.; Velázquez, J. J. L.
1
2004
Asymptotics of the trap-dominated Gunn effect in \(p\)-type Ge. Zbl 0939.78502
Bonilla, L. L.; Hernando, P. J.; Herrero, M. A.; Kindelan, M.; Velázquez, J. J. L.
1
1997
Asymptotics near an extinction point for some semilinear heat equations. Zbl 0816.35050
Herrero, M. A.; Velazquez, J. J. L.
1
1993
A mathematical model for the growth of elongated bones. Zbl 1329.92052
Fasano, Antonio; Herrero, Miguel Ángel; López, José Manuel; Medina, Elena
1
2010
Cooperation, competition, organization: the dynamics of interacting living populations. Zbl 1325.92007
Herrero, Miguel A.; Soler, Juan
6
2015
A model for acid-mediated tumour growth with nonlinear acid production term. Zbl 1365.92047
Holder, Andrew B.; Rodrigo, Marianito R.; Herrero, Miguel A.
6
2014
Selecting radiotherapy dose distributions by means of constrained optimization problems. Zbl 1297.92038
Alfonso, J. C. L.; Buttazzo, G.; García-Archilla, B.; Herrero, M. A.; Núñez, L.
4
2014
On the dynamics of social conflicts: looking for the black swan. Zbl 1276.82028
Bellomo, Nicola; Herrero, Miguel A.; Tosin, Andrea
41
2013
A class of optimization problems in radiotherapy dosimetry planning. Zbl 1398.92121
López Alfonso, Juan Carlos; Buttazzo, Giuseppe; García-Archilla, Bosco; Herrero, Miguel A.; Núñez, Luis
4
2012
A mathematical model of a criminal-prone society. Zbl 1207.91053
Nuño, Juan Carlos; Herrero, Miguel Angel; Primicerio, Mario
9
2011
Ultrasound detection of externally induced microthrombi cloud formation: a theoretical study. Zbl 1192.92024
Guria, G. T.; Herrero, M. A.; Zlobina, K. E.
4
2010
Fighting cheaters: how and how much to invest. Zbl 1233.91224
Nuño, Juan Carlos; Herrero, Miguel Ángel; Primicerio, Mario
3
2010
A mathematical model for the growth of elongated bones. Zbl 1329.92052
Fasano, Antonio; Herrero, Miguel Ángel; López, José Manuel; Medina, Elena
1
2010
Slow and fast invasion waves in a model of acid-mediated tumour growth. Zbl 1178.35120
Fasano, Antonio; Herrero, Miguel A.; Rodrigo, Marianito R.
19
2009
Modelling vascular morphogenesis: current views on blood vessels development. Zbl 1180.35286
Herrero, Miguel Á.; Köhn, Álvaro; Pérez-Pomares, José M.
8
2009
A mathematical model of blood coagulation induced by activation sources. Zbl 1170.92015
Guria, Georgy Th.; Herrero, Miguel A.; Zlobina, Ksenia E.
4
2009
Fractal analysis and tumour growth. Zbl 1149.92016
Brú, A.; Casero, D.; de Franciscis, S.; Herrero, M. A.
3
2008
From microscopic to macroscopic description of multicellular systems and biological growing tissues. Zbl 1121.92025
Bellomo, Nicola; Bellouquid, Abdelghani; Herrero, Miguel A.
17
2007
On the role of mathematics in biology. Zbl 1180.92003
Herrero, Miguel A.
9
2007
The mathematics of chemotaxis. Zbl 1209.35141
Herrero, M. A.
2
2007
Remarks on accessible steady states for some coagulation-fragmentation systems. Zbl 1126.34003
Herrero, Miguel A.; Rodrigo, Marianito R.
1
2007
From the physical laws of tumor growth to modelling cancer processes. Zbl 1094.92037
Brú, Antonio; Herrero, Miguel A.
11
2006
Models of aggregation in Dictyostelium discoideum: on the track of spiral waves. Zbl 1108.92014
Herrero, M. A.; Sastre, L.
2
2006
Bone formation: biological aspects and modelling problems. Zbl 1078.92007
Herrero, Miguel A.; López, José M.
4
2005
A note on Smoluchowski’s equations with diffusion. Zbl 1089.35080
Herrero, M. A.; Rodrigo, M.
3
2005
Approaching a vertex in a shrinking domain under a nonlinear flow. Zbl 1064.35085
Herrero, M. A.; Ughi, M.; Velázquez, J. J. L.
5
2004
On the growth of filamentary structures in planar media. Zbl 1058.35101
Andreucci, D.; Herrero, M. A.; Velázquez, J. J. L.
3
2004
Planar cracks running along piecewise linear paths. Zbl 1041.74062
Herrero, M. A.; Oleaga, G. E.; Velázquez, J. J. L.
1
2004
Reaction-diffusion systems: a mathematical biology approach. Zbl 1337.92059
Herrero, Miguel A.
3
2003
A note on the dissolution of spherical crystals. Zbl 0979.35147
Herraiz, Luis A.; Herrero, Miguel A.; Velázquez, Juan J. L.
4
2001
The classical one-phase Stefan problem: a catalog of interface behaviors. Zbl 1048.76058
Andreucci, Daniele; Herrero, Miguel A.; Velázquez, Juan J. L.
3
2001
Fast blow-up mechanisms for sign-changing solutions of a semilinear parabolic equation with critical nonlinearity. Zbl 0988.35032
Filippas, Stathis; Herrero, Miguel A.; Velázquez, Juan J. L.
43
2000
Sol-gel transition in a coagulation-diffusion model. Zbl 1033.82011
Herrero, M. A.; Velázquez, J. J. L.; Wrzosek, D.
8
2000
The birth of a cusp in the two-dimensional undercooled Stefan problem. Zbl 1040.35147
Herrero, M. A.; Medina, E.; Velázquez, J. J. L.
3
2000
Asymptotic properties of reaction-diffusion systems modeling chemotaxis. Zbl 1006.35052
Herrero, M. A.
3
2000
Radiation dynamics in homogeneous plasma. Zbl 0958.82048
Escobedo, M.; Herrero, M. A.; Velazquez, J. J. L.
2
1999
Self-similar blow-up for a reaction-diffusion system. Zbl 0934.35066
Herrero, M. A.; Medina, E.; Velázquez, J. J. L.
32
1998
A nonlinear Fokker-Planck equation modelling the approach to thermal equilibrium in a homogeneous plasma. Zbl 0933.35090
Escobedo, M.; Herrero, M. A.; Velazquez, J. J. L.
15
1998
Global existence for reaction-diffusion systems modelling ignition. Zbl 0909.35063
Herrero, Miguel A.; Lacey, Andrew A.; Velázquez, Juan J. L.
12
1998
A blow-up mechanism for a chemotaxis model. Zbl 0904.35037
Herrero, Miguel A.; Velázquez, Juan J. L.
373
1997
Finite-time aggregation into a single point in a reaction-diffusion system. Zbl 0909.35071
Herrero, M. A.; Medina, E.; Velázquez, J. J. L.
59
1997
Liouville theorems and blow up behaviour in semilinear reaction diffusion systems. Zbl 0877.35019
Andreucci, D.; Herrero, M. A.; Velázquez, J. J. L.
42
1997
On the melting of ice balls. Zbl 0876.35137
Herrero, Miguel A.; Velázquez, Juan J. L.
16
1997
Asymptotics of the trap-dominated Gunn effect in \(p\)-type Ge. Zbl 0939.78502
Bonilla, L. L.; Hernando, P. J.; Herrero, M. A.; Kindelan, M.; Velázquez, J. J. L.
1
1997
Singularity patterns in a chemotaxis model. Zbl 0864.35008
Herrero, Miguel A.; Velázquez, Juan J. L.
119
1996
Chemotactic collapse for the Keller-Segel model. Zbl 0866.92009
Herrero, Miguel A.; Velázquez, Juan J. L.
91
1996
Singularity formation in the one-dimensional supercooled Stefan problem. Zbl 0855.35135
Herrero, Miguel A.; Velázquez, Juan J. L.
10
1996
Blow up of solutions of supercritical semilinear parabolic equations. (Explosion de solutions d’équations paraboliques semilinéaires supercritiques.) Zbl 0806.35005
Herrero, Miguel A.; Velázquez, Juan J. L.
66
1994
A semilinear parabolic system in a bounded domain. Zbl 0806.35088
Escobedo, M.; Herrero, M. A.
109
1993
Blow-up behaviour of one-dimensional semilinear parabolic equations. Zbl 0813.35007
Herrero, M. A.; Velázquez, J. J. L.
77
1993
Some results on blow up for semilinear parabolic problems. Zbl 0828.35056
Herrero, M. A.; Velázquez, J. J. L.
8
1993
Plane structures in thermal runaway. Zbl 0813.35035
Herrero, M. A.; Velázquez, J. J. L.
6
1993
On a general approach to extinction and blow-up for quasi-linear heat equations. Zbl 0823.35085
Velázquez, J. J. L.; Galaktionov, V. A.; Posashkov, S. A.; Herrero, M. A.
3
1993
Asymptotics near an extinction point for some semilinear heat equations. Zbl 0816.35050
Herrero, M. A.; Velazquez, J. J. L.
1
1993
Flat blow-up in one-dimensional semilinear heat equations. Zbl 0767.35036
Herrero, M. A.; Velázquez, J. J. L.
32
1992
Blow-up profiles in one-dimensional, semilinear parabolic problems. Zbl 0772.35027
Herrero, M. A.; Velázquez, J. J. L.
31
1992
Approaching an extinction point in one-dimensional semilinear heat equations with strong absorption. Zbl 0799.35111
Herrero, M. A.; Velázquez, J. J. L.
24
1992
Generic behaviour of one-dimensional blow up patterns. Zbl 0798.35081
Herrero, M. A.; Velázquez, J. J. L.
24
1992
Comportement générique au voisinage d’un point d’explosion pour des solutions d’équations paraboliques unidimensionnelles. (Generic blow-up behaviour of solutions of one-dimensional semilinear parabolic problems). Zbl 0765.35009
Herrero, Miguel A.; Velázquez, Juan J. L.
7
1992
Extinction and positivity for a system of semilinear parabolic variational inequalities. Zbl 0754.35077
Friedman, Avner; Herrero, Miguel A.
5
1992
The structure of solutions near an extinction point in a semilinear heat equation with strong absorption: A formal approach. Zbl 0792.35079
Galaktionov, V. A.; Herrero, M. A.; Velázquez, J. J. L.
2
1992
Boundedness and blow up for a semilinear reaction-diffusion system. Zbl 0735.35013
Escobedo, M.; Herrero, M. A.
193
1991
A uniqueness result for a semilinear reaction-diffusion system. Zbl 0739.35034
Escobedo, M.; Herrero, M. A.
20
1991
The space structure near a blow-up point for semilinear heat equations: A formal approach. Zbl 0747.35014
Velázques, J. J. L.; Galaktionov, V. A.; Herrero, M. A.
7
1991
Non-negative solutions of the evolution p-Laplacian equation. Initial traces and Cauchy problem when \(1<p<2\). Zbl 0726.35066
DiBenedetto, Emmanuele; Herrero, M. A.
55
1990
Stability analysis of a closed thermosyphon. Zbl 0701.76086
Herrero, M. A.; Velazquez, J. J. L
5
1990
Travelling wave solutions to a semilinear diffusion system. Zbl 0705.35069
Esquinas, J.; Herrero, M. A.
5
1990
A nonlinear nonlocal wave equation arising in combustion theory. Zbl 0702.35171
Friedman, Avner; Herrero, Miguel A.
2
1990
On the Cauchy problem and initial traces for a degenerate parabolic equation. Zbl 0691.35047
DiBenedetto, Emmanuele; Herrero, M. A.
86
1989
A limit case in nonlinear diffusion. Zbl 0682.35056
Herrero, Miguel A.
17
1989
On the dynamics of a semilinear heat equation with strong absorption. Zbl 0697.35019
Herrero, M. A.; Velázquez, J. J. L.
13
1989
Thermal waves in absorbing media. Zbl 0665.35035
Herrero, Miguel A.
12
1988
Localization and blow up of thermal waves in nonlinear heat conduction with peaking. Zbl 0627.35048
Gilding, B. H.; Herrero, M. A.
10
1988
Extinction properties of semilinear heat equations with strong absorption. Zbl 0655.35050
Friedman, Avner; Herrero, Miguel A.
38
1987
The one-dimensional nonlinear heat equation with absorption: Regularity of solutions and interfaces. Zbl 0633.35037
Herrero, Miguel A.; Vázquez, Juan L.
27
1987
The mesa problem: diffusion patterns for \(u_ t=\nabla \cdot (u^ m\nabla u)\) as \(m\to +\infty\). Zbl 0655.35034
Elliott, C. M.; Herrero, M. A.; King, J. R.; Ockendon, J. R.
25
1986
The Cauchy problem for \(u_ t=\Delta u^ m\) when \(0<m<1\). Zbl 0583.35052
Herrero, Miguel A.; Pierre, Michel
112
1985
On the propagation properties of a nonlinear degenerate parabolic equation. Zbl 0516.35041
Herrero, Miguel A.; Vazquez, Juan Luis
43
1982
Asymptotic behaviour of the solutions of a strongly nonlinear parabolic problem. Zbl 0498.35013
Herrero, M. A.; Vazquez, J. L.
33
1981
Estimates on the support of the solutions of some nonlinear elliptic and parabolic problems. Zbl 0478.35083
Diaz, J. I.; Herrero, M. A.
24
1981
On the support of solutions of certain nonlinear parabolic problems. Zbl 0486.35015
Herrero, M. A.
3
1981
all top 5

Cited by 1,562 Authors

85 Winkler, Michael
39 Mu, Chunlai
39 Vazquez, Juan Luis
34 Herrero, Miguel Ángel
31 Bellomo, Nicola
29 Tao, Youshan
27 Zaag, Hatem
26 Zheng, Sining
24 Mizoguchi, Noriko
19 Velázquez, Juan J. L.
17 Wang, Mingxin
16 Liu, Bin
16 Liu, Bingchen
16 Ren, Guoqiang
15 Laurençot, Philippe
15 Li, Fengjie
15 Souplet, Philippe
14 Galaktionov, Victor Aleksandrovich
13 Ishige, Kazuhiro
13 King, John Robert
13 Zheng, Jiashan
13 Zheng, Pan
12 Hui, Kin Ming
12 Wang, Yifu
11 Lankeit, Johannes
11 Merle, Frank
11 Nguyen, Van Tien
11 Yang, Zuodong
10 Bonforte, Matteo
10 Rossi, Julio Daniel
10 Soler, Juan S.
10 Wang, Wei
9 Díaz Díaz, Jesús Ildefonso
9 Ghoul, Tej-Eddine
9 Iagar, Razvan Gabriel
9 Kirane, Mokhtar
9 Li, Dan
9 Porzio, Maria Michaela
9 Quirós Gracián, Fernando
9 Senba, Takasi
9 Shen, Wenxian
9 Suzuki, Takashi
9 Xiang, Zhaoyin
9 Xie, Chunhong
9 Yokota, Tomomi
8 Carrillo de la Plata, José Antonio
8 Cieślak, Tomasz
8 Collot, Charles
8 Escobedo Martínez, Miguel
8 Gao, Wenjie
8 Guo, Jong-Shenq
8 Kang, Kyungkeun
8 Knopoff, Damian A.
8 Li, Xie
8 Nagai, Toshitaka
8 Raphael, Pierre
8 Shang, Haifeng
8 Sugiyama, Yoshie
8 Wang, Liangchen
8 Yin, Jingxue
8 Zhang, Zhengce
7 Andreucci, Daniele
7 Bellouquid, Abdelghani
7 Brezzi, Franco
7 Cao, Xinru
7 Fujie, Kentaro
7 Gladkov, Aleksandr L’vovich
7 Harada, Junichi
7 Lin, Ke
7 Loayza, Miguel
7 Vespri, Vincenzo Riccardo
7 Wei, Juncheng
6 Bai, Xueli
6 Castillo, Ricardo
6 Del Pino, Manuel A.
6 Dolbeault, Jean
6 Fuest, Mario
6 Jin, Haiyang
6 Levine, Howard Allen
6 McCue, Scott William
6 Perthame, Benoît
6 Qi, Yuanwei
6 Surulescu, Christina
6 Toscani, Giuseppe
6 Wang, Yilong
6 Wang, Yulan
5 Bertozzi, Andrea Louise
5 Bidaut-Veron, Marie-Françoise
5 Budd, Christopher John
5 Chen, Youpeng
5 de Pablo, Arturo
5 DiBenedetto, Emmanuele
5 Fasano, Antonio
5 Ferreira, Raúl
5 Fila, Marek
5 Fujishima, Yohei
5 Gibelli, Livio
5 Harfash, Akil Jassim
5 Ishida, Sachiko
5 Issa, Tahir Bachar
...and 1,462 more Authors
all top 5

Cited in 245 Serials

131 Journal of Mathematical Analysis and Applications
123 Journal of Differential Equations
106 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
65 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
40 ZAMP. Zeitschrift für angewandte Mathematik und Physik
34 Discrete and Continuous Dynamical Systems
34 Nonlinear Analysis. Theory, Methods & Applications
32 Computers & Mathematics with Applications
31 Nonlinear Analysis. Real World Applications
31 Discrete and Continuous Dynamical Systems. Series B
26 Journal of Functional Analysis
22 Mathematical Methods in the Applied Sciences
22 Transactions of the American Mathematical Society
22 Applied Mathematics Letters
21 Applicable Analysis
21 Archive for Rational Mechanics and Analysis
21 Applied Mathematics and Computation
21 Communications in Partial Differential Equations
19 SIAM Journal on Mathematical Analysis
19 Calculus of Variations and Partial Differential Equations
19 Boundary Value Problems
18 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
17 Journal of Evolution Equations
16 Journal of Computational and Applied Mathematics
16 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
15 Mathematische Annalen
14 Nonlinearity
14 Journal de Mathématiques Pures et Appliquées. Neuvième Série
12 Mathematical and Computer Modelling
12 NoDEA. Nonlinear Differential Equations and Applications
11 Acta Applicandae Mathematicae
11 Physica D
11 Journal of Mathematical Sciences (New York)
10 Journal of Mathematical Physics
10 Advances in Mathematics
10 Annali di Matematica Pura ed Applicata. Serie Quarta
10 European Journal of Applied Mathematics
9 Comptes Rendus. Mathématique. Académie des Sciences, Paris
9 Discrete and Continuous Dynamical Systems. Series S
8 Communications in Mathematical Physics
8 Journal of Engineering Mathematics
8 Bulletin of Mathematical Biology
8 Journal of Scientific Computing
8 Abstract and Applied Analysis
8 Communications in Contemporary Mathematics
8 Communications on Pure and Applied Analysis
8 Kinetic and Related Models
8 Journal of Theoretical Biology
7 Journal of Mathematical Biology
7 Rocky Mountain Journal of Mathematics
7 Applied Mathematics. Series B (English Edition)
7 Advanced Nonlinear Studies
6 Journal of Computational Physics
6 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV
6 Duke Mathematical Journal
6 Journal of Dynamics and Differential Equations
6 Acta Mathematica Sinica. English Series
6 Differential Equations
5 Chaos, Solitons and Fractals
5 Manuscripta Mathematica
5 Tôhoku Mathematical Journal. Second Series
5 Electronic Journal of Differential Equations (EJDE)
5 Journal of the European Mathematical Society (JEMS)
5 Journal of Applied Mathematics and Computing
5 Networks and Heterogeneous Media
4 Israel Journal of Mathematics
4 Journal of Statistical Physics
4 International Journal of Mathematics and Mathematical Sciences
4 Mathematische Nachrichten
4 Numerische Mathematik
4 Proceedings of the American Mathematical Society
4 Siberian Mathematical Journal
4 Acta Mathematicae Applicatae Sinica. English Series
4 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
4 SIAM Journal on Applied Dynamical Systems
4 Science China. Mathematics
4 Séminaire Laurent Schwartz. EDP et Applications
3 Communications on Pure and Applied Mathematics
3 Mathematical Notes
3 Ukrainian Mathematical Journal
3 Applied Mathematics and Optimization
3 Mathematische Zeitschrift
3 Memoirs of the American Mathematical Society
3 Advances in Applied Mathematics
3 Chinese Annals of Mathematics. Series B
3 The Journal of Geometric Analysis
3 Journal of Nonlinear Science
3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
3 Journal of Inequalities and Applications
3 Communications in Nonlinear Science and Numerical Simulation
3 Multiscale Modeling & Simulation
3 Analysis and Applications (Singapore)
3 Advances in Difference Equations
3 Mathematical Control and Related Fields
3 Journal of Function Spaces
2 Computers and Fluids
2 Journal d’Analyse Mathématique
2 Mathematical Biosciences
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2 Archiv der Mathematik
...and 145 more Serials
all top 5

Cited in 40 Fields

1,402 Partial differential equations (35-XX)
558 Biology and other natural sciences (92-XX)
92 Fluid mechanics (76-XX)
85 Numerical analysis (65-XX)
60 Ordinary differential equations (34-XX)
50 Statistical mechanics, structure of matter (82-XX)
47 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
31 Probability theory and stochastic processes (60-XX)
30 Classical thermodynamics, heat transfer (80-XX)
28 Dynamical systems and ergodic theory (37-XX)
24 Integral equations (45-XX)
21 Calculus of variations and optimal control; optimization (49-XX)
20 Operator theory (47-XX)
18 Global analysis, analysis on manifolds (58-XX)
16 Differential geometry (53-XX)
15 Systems theory; control (93-XX)
10 General and overarching topics; collections (00-XX)
10 Real functions (26-XX)
9 Mechanics of deformable solids (74-XX)
8 Functional analysis (46-XX)
5 Difference and functional equations (39-XX)
5 Astronomy and astrophysics (85-XX)
5 Information and communication theory, circuits (94-XX)
4 Measure and integration (28-XX)
4 Functions of a complex variable (30-XX)
4 Statistics (62-XX)
4 Computer science (68-XX)
3 Potential theory (31-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Mechanics of particles and systems (70-XX)
3 Operations research, mathematical programming (90-XX)
2 History and biography (01-XX)
2 Combinatorics (05-XX)
2 Approximations and expansions (41-XX)
1 Group theory and generalizations (20-XX)
1 Special functions (33-XX)
1 Integral transforms, operational calculus (44-XX)
1 Algebraic topology (55-XX)
1 Optics, electromagnetic theory (78-XX)
1 Geophysics (86-XX)

Citations by Year