-
1
-
-
0000836987
-
Quasilinear elliptic-parabolic differential equations
-
H. W. Alt and S. Luckhaus, Quasilinear elliptic-parabolic differential equations, Math. Z., 183 (1983), 311-341.
-
(1983)
Math. Z.
, vol.183
, pp. 311-341
-
-
Alt, H.W.1
Luckhaus, S.2
-
2
-
-
31744443874
-
Gradient flows in metric spaces and in the space of probability measures
-
Zürich, Birkḧauser Verlag, Basel
-
L. Ambrosio, N. Gigli, and G. Savaŕe, "Gradient Flows in Metric Spaces and in the Space of Probability Measures," Lectures in Mathematics ETH Zürich, Birkḧauser Verlag, Basel, 2005.
-
(2005)
Lectures in Mathematics ETH
-
-
Ambrosio, L.1
Gigli, N.2
Savaŕe, G.3
-
3
-
-
77951121715
-
Finite-time blow-up of L°°-weak solutions of an aggregation equation
-
A. Bertozzi and J. Brandman, Finite-time blow-up of L°°-weak solutions of an aggregation equation, Comm. Math. Sci., 8 (2010), 45-65.
-
(2010)
Comm. Math. Sci.
, vol.8
, pp. 45-65
-
-
Bertozzi, A.1
Brandman, J.2
-
4
-
-
65249090848
-
Blowup in multidimensional aggregation equations with mildly singular interaction kernels
-
A. Bertozzi, J. A. Carrillo and T. Laurent, Blowup in multidimensional aggregation equations with mildly singular interaction kernels, Nonlinearity, 22 (2009), 683-710.
-
(2009)
Nonlinearity
, vol.22
, pp. 683-710
-
-
Bertozzi, A.1
Carrillo, J.A.2
Laurent, T.3
-
7
-
-
32644457070
-
An integro-differential equation arising as a limit of individual cell-based models
-
DOI 10.1016/j.jde.2005.07.025, PII S0022039605002494
-
M. Bodnar and J. J. L. Velazquez, An integro-differential equation arising as a limit of individual cell-based models, J. Differential Equations, 222 (2006), 341-380. (Pubitemid 43246216)
-
(2006)
Journal of Differential Equations
, vol.222
, Issue.2
, pp. 341-380
-
-
Bodnar, M.1
Velazquez, J.J.L.2
-
8
-
-
0034148193
-
Modeling the aggregative behavior of ants of the species polyergus rufescens
-
S. Boi, V. Capasso and D. Morale, Modeling the aggregative behavior of ants of the species polyergus rufescens, Nonlinear Anal. Real World Appl., 1 (2000), 163-176.
-
(2000)
Nonlinear Anal. Real World Appl.
, vol.1
, pp. 163-176
-
-
Boi, S.1
Capasso, V.2
Morale, D.3
-
9
-
-
0003894892
-
-
Collection Math́ematiques Appliqúees pour la Maîtrise. [Collection of Applied Mathematics for the Master's Degree], Masson, Paris 1983. Th́eorie et applications. [Theory and applications]
-
H. Brezis, "Analyse Fonctionnelle," Collection Math́ematiques Appliqúees pour la Maîtrise. [Collection of Applied Mathematics for the Master's Degree], Masson, Paris, 1983. Th́eorie et applications. [Theory and applications].
-
Analyse Fonctionnelle
-
-
Brezis, H.1
-
11
-
-
33846217387
-
On an aggregation model with long and short range interactions
-
DOI 10.1016/j.nonrwa.2006.04.002, PII S1468121806000514
-
M. Burger, V. Capasso and D. Morale, On an aggregation model with long and short range interactions, Nonlinear Anal. Real World Appl., 8 (2007), 939-958. (Pubitemid 46097518)
-
(2007)
Nonlinear Analysis: Real World Applications
, vol.8
, Issue.3
, pp. 939-958
-
-
Burger, M.1
Capasso, V.2
Morale, D.3
-
12
-
-
57249084869
-
Large time behavior of nonlocal aggregation models with nonlinear diffusion
-
M. Burger and M. Di Francesco, Large time behavior of nonlocal aggregation models with nonlinear diffusion, Netw. Heterog. Media, 3 (2008), 749-785.
-
(2008)
Netw. Heterog. Media
, vol.3
, pp. 749-785
-
-
Burger, M.1
Di Francesco, M.2
-
13
-
-
0033407951
-
Entropy solutions for nonlinear degenerate problems
-
J. Carrillo, Entropy solutions for nonlinear degenerate problems, Arch. Ration. Mech. Anal., 147 (1999), 269-361.
-
(1999)
Arch. Ration. Mech. Anal.
, vol.147
, pp. 269-361
-
-
Carrillo, J.1
-
16
-
-
1542399709
-
Kinetic equilibration rates for granular media and related equations: Entropy dissipation and mass transportation estimates
-
J. A. Carrillo, R. J. McCann and C. Villani, Kinetic equilibration rates for granular media and related equations: entropy dissipation and mass transportation estimates, Rev. Mat. Iberoamericana, 19 (2003), 971-1018. (Pubitemid 38355024)
-
(2003)
Revista Matematica Iberoamericana
, vol.19
, Issue.3
, pp. 971-1018
-
-
Carrillo, J.A.1
McCann, R.J.2
Villani, C.3
-
17
-
-
34250788801
-
Modeling group formation and activity patterns in self-organizing collectives of individuals
-
DOI 10.1007/s11538-006-9175-8
-
R. Eftimie, G. de Vries, M. A. Lewis and F. Lutscher, Modeling group formation and activity patterns in self-organizing collectives ofindividuals, Bull. Math. Biol., 69 (2007), 1537-1565. (Pubitemid 46955666)
-
(2007)
Bulletin of Mathematical Biology
, vol.69
, Issue.5
, pp. 1537-1565
-
-
Eftimie, R.1
De Vries, G.2
Lewis, M.A.3
Lutscher, F.4
-
18
-
-
0003956352
-
-
Princeton University Press, Princeton, NJ, second ed.
-
G. B. Folland, "Introduction to Partial Differential Equations," Princeton University Press, Princeton, NJ, second ed., 1995.
-
(1995)
Introduction to Partial Differential Equations
-
-
Folland, G.B.1
-
19
-
-
0000754593
-
Modelling social animal aggregations
-
of Lecture Notes in Biomath. Springer, Berlin
-
D. Grünbaum and A. Okubo, Modelling social animal aggregations, in "Frontiers in Mathe- matical Biology," vol. 100 of Lecture Notes in Biomath., Springer, Berlin, 1994, 296-325.
-
(1994)
Frontiers in Mathe- Matical Biology
, vol.100
, pp. 296-325
-
-
Grünbaum, D.1
Okubo, A.2
-
20
-
-
0040485207
-
Convergence of finite difference schemes for viscous and inviscid conservation laws with rough coefficients
-
DOI 10.1051/m2an:2001114
-
K. H. Karlsen and N. H. Risebro, Convergence of finite difference schemes for viscous and inviscid conservation laws with rough coefficients, M2AN Math. Model. Numer. Anal., 35 (2001), 239-269. (Pubitemid 33583229)
-
(2001)
Mathematical Modelling and Numerical Analysis
, vol.35
, Issue.2
, pp. 239-269
-
-
Karlsen, K.H.1
Risebro, N.H.2
-
21
-
-
0038784363
-
On the uniqueness and stability of entropy solutions of nonlinear degenerate parabolic equations with rough coefficients
-
K. H. Karlsen and N. H. Risebro, On the uniqueness and stability of entropy solutions of nonlinear degenerate parabolic equations with rough coefficients, Discrete Contin. Dyn. Syst., 9 (2003), 1081-1104. (Pubitemid 36607717)
-
(2003)
Discrete and Continuous Dynamical Systems
, vol.9
, Issue.5
, pp. 1081-1104
-
-
Karlsen, K.H.1
Risebro, N.H.2
-
22
-
-
0003690985
-
-
Translated from the Russian by S. Smith. Translations of Mathematical Monographs American Mathematical Society, Providence, R.I.
-
O. A. Ladyženskaja, V. A. Solonnikov and N. N. Uralceva, "Linear and Quasilinear Equations of Parabolic Type," Translated from the Russian by S. Smith. Translations of Mathematical Monographs, Vol. 23, American Mathematical Society, Providence, R.I., 1967.
-
(1967)
Linear and Quasilinear Equations of Parabolic Type
, vol.23
-
-
Ladyženskaja, O.A.1
-
23
-
-
36949038223
-
Local and global existence for an aggregation equation
-
T. Laurent, Local and global existence for an aggregation equation, Comm. Partial Differential Equations, 32 (2007), 1941-1964.
-
(2007)
Comm. Partial Differential Equations
, vol.32
, pp. 1941-1964
-
-
Laurent, T.1
-
24
-
-
61649094952
-
n with fractional dissipation
-
n with fractional dissipation, Comm. Math. Phys., 287 (2009), 687-703.
-
(2009)
Comm. Math. Phys.
, vol.287
, pp. 687-703
-
-
Li, D.1
Rodrigo, J.2
-
25
-
-
77951117235
-
Wellposedness and regularity of solutions of an aggregation equation
-
D. Li and J. Rodrigo, Wellposedness and regularity of solutions of an aggregation equation, Rev. Mat. Iberoam., 26 (2010), 261-294.
-
(2010)
Rev. Mat. Iberoam.
, vol.26
, pp. 261-294
-
-
Li, D.1
Rodrigo, J.2
-
26
-
-
60349124484
-
Refined blowup criteria and nonsymmetric blowup of an aggregation equation
-
D. Li and J. L. Rodrigo, Refined blowup criteria and nonsymmetric blowup of an aggregation equation, Adv. Math., 220 (2009), 1717-1738.
-
(2009)
Adv Math.
, vol.220
, pp. 1717-1738
-
-
Li, D.1
Rodrigo, J.L.2
-
28
-
-
0242648945
-
Analysis
-
American Mathematical Society, Providence, RI, second ed.
-
E. H. Lieb and M. Loss, "Analysis," vol. 14 of Graduate Studies in Mathematics, American Mathematical Society, Providence, RI, second ed., 2001.
-
(2001)
Of Graduate Studies in Mathematics
, vol.14
-
-
Lieb, E.H.1
Loss, M.2
-
30
-
-
49349113659
-
A simple model for biological aggregation with asymmetric sensing
-
P. A. Milewski and X. Yang, A simple model for biological aggregation with asymmetric sensing, Commun. Math. Sci., 6 (2008), 397-416.
-
(2008)
Commun. Math. Sci.
, vol.6
, pp. 397-416
-
-
Milewski, P.A.1
Yang, X.2
-
31
-
-
13844298300
-
An interacting particle system modelling aggregation behavior: From individuals to populations
-
DOI 10.1007/s00285-004-0279-1
-
D. Morale, V. Capasso and K. Oelschl̈ager, An interacting particle system modelling aggregation behavior: from individuals to populations, J. Math. Biol., 50 (2005), 49-66. (Pubitemid 40240753)
-
(2005)
Journal of Mathematical Biology
, vol.50
, Issue.1
, pp. 49-66
-
-
Morale, D.1
Capasso, V.2
Oelschlager, K.3
-
32
-
-
0001560970
-
The geometry of dissipative evolution equations: The porous medium equation
-
F. Otto, The geometry of dissipative evolution equations: the porous medium equation, Comm. Partial Differential Equations, 26 (2001), 101-174. (Pubitemid 33731270)
-
(2001)
Communications in Partial Differential Equations
, vol.26
, Issue.1-2
, pp. 101-174
-
-
Otto, F.1
-
33
-
-
0003430387
-
-
of Mathematical Surveys and Monographs, American Mathematical So- ciety, Providence, RI
-
R. E. Showalter, "Monotone Operators in Banach Space and Nonlinear Partial Differential Equations," vol. 49 of Mathematical Surveys and Monographs, American Mathematical So- ciety, Providence, RI, 1997
-
(1997)
Monotone Operators in Banach Space and Nonlinear Partial Differential Equations
, vol.49
-
-
Showalter, R.E.1
-
34
-
-
67650082431
-
Coarsening in nonlocal interfacial systems
-
D. Slepčev, Coarsening in nonlocal interfacial systems, SIAM J. Math. Anal., 40 (2008), 1029-1048.
-
(2008)
SIAM J. Math. Anal.
, vol.40
, pp. 1029-1048
-
-
Slepčev, D.1
-
35
-
-
16244371027
-
Swarming patterns in a two-dimensional kinematic model for biological groups
-
electronic
-
C. M. Topaz and A. L. Bertozzi, Swarming patterns in a two-dimensional kinematic model for biological groups, SIAM J. Appl. Math., 65 (2004), 152-174 (electronic).
-
(2004)
SIAM J. Appl Math.
, vol.65
, pp. 152-174
-
-
Topaz, C.M.1
Bertozzi, A.L.2
-
36
-
-
33748692474
-
A nonlocal continuum model for biological aggregation
-
DOI 10.1007/s11538-006-9088-6
-
C. M. Topaz, A. L. Bertozzi and M. A. Lewis, A nonlocal continuum model for biological aggregation, Bull. Math. Biol., 68 (2006), 1601-1623. (Pubitemid 44392962)
-
(2006)
Bulletin of Mathematical Biology
, vol.68
, Issue.7
, pp. 1601-1623
-
-
Topaz, C.M.1
Bertozzi, A.L.2
Lewis, M.A.3
-
37
-
-
84894531156
-
-
Oxford Mathematical Monographs, The Clarendon Press Oxford University Press, Oxford Mathematical theory
-
J. L. V́azquez, "The Porous Medium Equation," Oxford Mathematical Monographs, The Clarendon Press Oxford University Press, Oxford, 2007. Mathematical theory.
-
(2007)
The Porous Medium Equation
-
-
V́azquez, J.L.1
-
38
-
-
84972814157
-
Strong convergence results related to strict convexity
-
A. Visintin, Strong convergence results related to strict convexity, Comm. Partial Differential Equations, 9 (1984), 439-466.
-
(1984)
Comm. Partial Differential Equations
, vol.9
, pp. 439-466
-
-
Visintin, A.1
|