-
1
-
-
0002042431
-
On convex Sobolev inequalities and the rate of convergence to equilibrium for Fokker-Planck type equations
-
ARNOLD, A., MARKOWICH, P., TOSCANI, G. AND UNTERREITER, A.: On convex Sobolev inequalities and the rate of convergence to equilibrium for Fokker-Planck type equations. Comm. Partial Differential Equations 26 (2001), no. 1-2, 43-100.
-
(2001)
Comm. Partial Differential Equations
, vol.26
, Issue.1-2
, pp. 43-100
-
-
Arnold, A.1
Markowich, P.2
Toscani, G.3
Unterreiter, A.4
-
2
-
-
0001119849
-
Diffusions hypercontractives
-
Lect. Notes in Math. 1123, Springer, 1985
-
BAKRY, D. AND EMERY, M.: Diffusions hypercontractives. In Séminaire de probabilités, XIX, 1985/84, 177-206. Lect. Notes in Math. 1123, Springer, 1985.
-
(1984)
Séminaire de Probabilités
, vol.19
, pp. 177-206
-
-
Bakry, D.1
Emery, M.2
-
3
-
-
0031529217
-
A kinetic equation for granular media
-
BENEDETTO, D., CAGLIOTI, E. AND PULVIRENTI, M.: A kinetic equation for granular media. RAIRO Modél. Math. Anal. Numér. 31 (1997), no. 5, 615-641.
-
(1997)
RAIRO Modél Math. Anal. Numér.
, vol.31
, Issue.5
, pp. 615-641
-
-
Benedetto, D.1
Caglioti, E.2
Pulvirenti, M.3
-
4
-
-
0032090818
-
A non-maxwellian steady distribution for one-dimensional granular media
-
BENEDETTO, D., CAGLIOTI, E., CARRILLO, J. A. AND PULVIRENTI, M.: A non-maxwellian steady distribution for one-dimensional granular media. J. Statist. Phys. 91 (1998), 979-990.
-
(1998)
J. Statist. Phys.
, vol.91
, pp. 979-990
-
-
Benedetto, D.1
Caglioti, E.2
Carrillo, J.A.3
Pulvirenti, M.4
-
5
-
-
0002578985
-
A density dependent diffusion equation in population dynamics: Stabilization to equilibrium
-
BERTSCH, M. AND HILHORST, D.: A density dependent diffusion equation in population dynamics: stabilization to equilibrium. SIAM J. Math. Anal 17 (1986), 863-883.
-
(1986)
SIAM J. Math. Anal.
, vol.17
, pp. 863-883
-
-
Bertsch, M.1
Hilhorst, D.2
-
6
-
-
84990623199
-
Polar factorization and monotone rearrangement of vector-valued functions
-
BRENIER, Y.: Polar factorization and monotone rearrangement of vector-valued functions. Comm. Pure Appl. Math. 44 (1991), 375-417.
-
(1991)
Comm. Pure Appl. Math.
, vol.44
, pp. 375-417
-
-
Brenier, Y.1
-
7
-
-
21344493381
-
Entropy production estimates for Boltzmann equations with physically realistic collision kernels
-
CARLEN, E. AND CARVALHO, M.: Entropy production estimates for Boltzmann equations with physically realistic collision kernels. J. Statist. Phys. 74 (1994), no. 3-4, 743-782.
-
(1994)
J. Statist. Phys.
, vol.74
, Issue.3-4
, pp. 743-782
-
-
Carlen, E.1
Carvalho, M.2
-
8
-
-
1542767743
-
On a 1-D granular media immersed in a fluid
-
CARRILLO, J. A.: On a 1-D granular media immersed in a fluid. Fields Inst. Comm. 27 (2000), 43-56.
-
(2000)
Fields Inst. Comm.
, vol.27
, pp. 43-56
-
-
Carrillo, J.A.1
-
9
-
-
18044401055
-
Entropy dissipation methods for degenerate parabolic systems and generalized Sobolev inequalities
-
CARRILLO, J. A., JÜNGEL, A., MARKOWICH, P. A., TOSCANI, G. AND UNTERREITER, A.: Entropy dissipation methods for degenerate parabolic systems and generalized Sobolev inequalities. Monatsh. Math. 133 (2001), 1 82.
-
(2001)
Monatsh. Math.
, vol.133
, pp. 1-82
-
-
Carrillo, J.A.1
Jüngel, A.2
Markowich, P.A.3
Toscani, G.4
Unterreiter, A.5
-
11
-
-
0032165708
-
Exponential convergence toward equilibrium for homogeneous Fokker-Planck-type equations
-
CARRILLO, J. A. AND TOSCANI, G.: Exponential convergence toward equilibrium for homogeneous Fokker-Planck-type equations. Math. Meth. Appl. Sci. 21 (1998), 1269-1286.
-
(1998)
Math. Meth. Appl. Sci.
, vol.21
, pp. 1269-1286
-
-
Carrillo, J.A.1
Toscani, G.2
-
12
-
-
0003277699
-
1-decay of solutions of the porous medium equation to self-similarity
-
1-decay of solutions of the porous medium equation to self-similarity. Indiana Univ. Math. J. 49 (2000), 113-141.
-
(2000)
Indiana Univ. Math. J.
, vol.49
, pp. 113-141
-
-
Carrillo, J.A.1
Toscani, G.2
-
15
-
-
0000278898
-
On the spatially homogeneous Landau equation for hard potentials. Part I: Existence, uniqueness and smoothness
-
DESVILLETTES, L. AND VILLANI, C.: On the spatially homogeneous Landau equation for hard potentials. Part I: Existence, uniqueness and smoothness. Comm. Partial Differential Equations 25 (2000), no. 1-2, 179-259.
-
(2000)
Comm. Partial Differential Equations
, vol.25
, Issue.1-2
, pp. 179-259
-
-
Desvillettes, L.1
Villani, C.2
-
16
-
-
0000278899
-
On the spatially homogeneous Landau equation for hard potentials. Part II: H-theorem and applications
-
DESVILLETTES, L. AND VILLANI, C.: On the spatially homogeneous Landau equation for hard potentials. Part II: H-theorem and applications. Comm. Partial Differential Equations 25 (2000), no. 1-2, 261-298.
-
(2000)
Comm. Partial Differential Equations
, vol.25
, Issue.1-2
, pp. 261-298
-
-
Desvillettes, L.1
Villani, C.2
-
17
-
-
0002449197
-
Continuity of weak solutions to a general porous medium equation
-
DIBENEDETTO, E.: Continuity of weak solutions to a general porous medium equation. Indiana Math. Univ. J. 32 (1983), 83-118.
-
(1983)
Indiana Math. Univ. J.
, vol.32
, pp. 83-118
-
-
Dibenedetto, E.1
-
18
-
-
0036710614
-
Best constants for Gagliardo-Nirenberg inequalities and applications to nonlinear diffusions
-
DOLBEAULT, J. AND DEL PINO, M.: Best constants for Gagliardo-Nirenberg inequalities and applications to nonlinear diffusions. J. Math. Pures Appl. (9) 81 (2002), no. 9, 847-875.
-
(2002)
J. Math. Pures Appl. (9)
, vol.81
, Issue.9
, pp. 847-875
-
-
Dolbeault, J.1
Del Pino, M.2
-
20
-
-
0001359676
-
Logarithmic Sobolev inequalities and stochastic Ising models
-
HOLLEY, R. AND STROOCK, D.: Logarithmic Sobolev inequalities and stochastic Ising models. J. Statist. Phys. 46 (1987), no. 5-6, 1159-1194.
-
(1987)
J. Statist. Phys.
, vol.46
, Issue.5-6
, pp. 1159-1194
-
-
Holley, R.1
Stroock, D.2
-
21
-
-
0003690985
-
-
AMS, Providence, Rhode Island
-
LADYZENSKAJA, O. A., SOLONNIKOV, V. A. AND URAL'CEVA, N. N.: Linear and Quasilinear Equations of Parabolic Type. AMS, Providence, Rhode Island, 1968.
-
(1968)
Linear and Quasilinear Equations of Parabolic Type
-
-
Ladyzenskaja, O.A.1
Solonnikov, V.A.2
Ural'ceva, N.N.3
-
22
-
-
0042408385
-
Logarithmic Sobolev inequalities for some nonlinear PDE's
-
MALRIEU, F.: Logarithmic Sobolev inequalities for some nonlinear PDE's. Stochastic Process. Appl. 95 (2001), no. 1, 109-132.
-
(2001)
Stochastic Process. Appl.
, vol.95
, Issue.1
, pp. 109-132
-
-
Malrieu, F.1
-
23
-
-
0038243436
-
On the trend to equilibrium for the Fokker-Planck equation: An interplay between physics and functional analysis
-
Proceedings, VI Workshop on Partial Differential Equations, Part II (Rio de Janeiro, 1999)
-
MARKOWICH, P. AND VILLANI, C.: On the trend to equilibrium for the Fokker-Planck equation: an interplay between physics and functional analysis. Proceedings, VI Workshop on Partial Differential Equations, Part II (Rio de Janeiro, 1999). Mat. Contemp. 19 (2000), 1-29.
-
(2000)
Mat. Contemp.
, vol.19
, pp. 1-29
-
-
Markowich, P.1
Villani, C.2
-
24
-
-
84974004014
-
Existence and uniqueness of monotone measure preserving maps
-
MCCANN, R. J.: Existence and uniqueness of monotone measure preserving maps. Duke Math. J. 80 (1995), 309-323.
-
(1995)
Duke Math. J.
, vol.80
, pp. 309-323
-
-
McCann, R.J.1
-
25
-
-
0031161793
-
A convexity principle for interacting gases
-
MCCANN, R. J.: A convexity principle for interacting gases. Adv. Math. 128 (1997), 153-179.
-
(1997)
Adv. Math.
, vol.128
, pp. 153-179
-
-
McCann, R.J.1
-
26
-
-
0032368101
-
Equilibrium shapes for planar crystals in an external field
-
MCCANN, R. J.: Equilibrium shapes for planar crystals in an external field. Comm. Math. Phys. 195 (1998), 699-723.
-
(1998)
Comm. Math. Phys.
, vol.195
, pp. 699-723
-
-
McCann, R.J.1
-
27
-
-
0001560970
-
The geometry of dissipative evolution equations: The porous medium equation
-
OTTO, F.: The geometry of dissipative evolution equations: the porous medium equation. Comm. Partial Differential Equations 26 (2001), 101-174.
-
(2001)
Comm. Partial Differential Equations
, vol.26
, pp. 101-174
-
-
Otto, F.1
-
28
-
-
0001559554
-
Generalization of an inequality by Talagrand, and links with the logarithmic Sobolev inequality
-
OTTO, F. AND VILLANI, C.: Generalization of an inequality by Talagrand, and links with the logarithmic Sobolev inequality. J. Funct. Anal. 173 (2000), 361 400.
-
(2000)
J. Funct. Anal.
, vol.173
, pp. 361-400
-
-
Otto, F.1
Villani, C.2
-
29
-
-
23044528502
-
Comment on "Hypercontractivity of Hamilton-Jacobi equations", by S. Bobkov, I. Gentil and M. Ledoux
-
OTTO, F. AND VILLANI, C.: Comment on "Hypercontractivity of Hamilton-Jacobi equations", by S. Bobkov, I. Gentil and M. Ledoux. J. Math. Pures Appl. (9) 80 (2001), 697-700.
-
(2001)
J. Math. Pures Appl. (9)
, vol.80
, pp. 697-700
-
-
Otto, F.1
Villani, C.2
-
31
-
-
0034549474
-
One-dimensional kinetic models of granular flows
-
TOSCANI, G.: One-dimensional kinetic models of granular flows. RAIRO Modél. Math. Anal. Numér. 34 (2000), no. 6, 1277-1291.
-
(2000)
RAIRO Modél. Math. Anal. Numér.
, vol.34
, Issue.6
, pp. 1277-1291
-
-
Toscani, G.1
-
32
-
-
0034147246
-
On the trend to equilibrium for some dissipative systems with slowly increasing a priori bounds
-
TOSCANI, G. AND VILLANI, C.: On the trend to equilibrium for some dissipative systems with slowly increasing a priori bounds. J. Statist. Phys. 98 (2000), no. 5-6, 1279-1309.
-
(2000)
J. Statist. Phys.
, vol.98
, Issue.5-6
, pp. 1279-1309
-
-
Toscani, G.1
Villani, C.2
-
33
-
-
0000383614
-
An introduction to the mathematical theory of the porous medium equation
-
NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci. 380. Kluwer Acad. Publ.
-
VÁZQUEZ, J. L.: An introduction to the mathematical theory of the porous medium equation. In Shape optimization and free boundaries (Montreal, PQ, 1990), 347-389. NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci. 380. Kluwer Acad. Publ., 1992.
-
(1992)
Shape Optimization and Free Boundaries (Montreal, PQ, 1990)
, pp. 347-389
-
-
Vázquez, J.L.1
-
34
-
-
0038413035
-
A survey of mathematical topics in the collisional kinetic theory of gases
-
To appear, S. Friedlander and D. Serre, Eds.
-
VILLANI, C.: A survey of mathematical topics in the collisional kinetic theory of gases. To appear in Handbook of Fluid Mechanics, S. Friedlander and D. Serre, Eds.
-
Handbook of Fluid Mechanics
-
-
Villani, C.1
-
35
-
-
0033240596
-
Regularity estimates via the entropy dissipation for the spatially homogeneous Boltzmann equation
-
VILLANI, C.: Regularity estimates via the entropy dissipation for the spatially homogeneous Boltzmann equation. Rev. Mat. Iberoamericana 15 (1999), no. 2, 335-352.
-
(1999)
Rev. Mat. Iberoamericana
, vol.15
, Issue.2
, pp. 335-352
-
-
Villani, C.1
|