• 508 Citations
  • 10 h-Index
1982 …2016
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Research Output 1982 2016

  • 508 Citations
  • 10 h-Index
  • 41 Article
2016

Hyperbolic equations of von Karman type

Cherrier, P. & Milani, A., Feb 1 2016, In : Discrete and Continuous Dynamical Systems - Series S. 9, 1, p. 125-137 13 p.

Research output: Contribution to journalArticle

Elliptic Systems
Strong Solution
Hyperbolic Systems
Hyperbolic Equations
2012
1 Citation (Scopus)

Hyperbolic equations of Von Karman type on Kähler manifolds

Cherrier, P. & Milani, A., Jan 1 2012, In : Bulletin des Sciences Mathematiques. 136, 1, p. 19-36 18 p.

Research output: Contribution to journalArticle

Local Well-posedness
Hyperbolic Equations
Compact Manifold
Function Space
Global Existence
2011

Decay estimates for quasi-linear evolution equations

Cherrier, P. & Milani, A., Jan 1 2011, In : Bulletin des Sciences Mathematiques. 135, 1, p. 33-58 26 p.

Research output: Contribution to journalArticle

Decay Estimates
Stability Estimates
Quasilinear Equations
Strong Solution
Evolution Equation

Long-time behavior of small solutions to quasilinear dissipative hyperbolic equations

Milani, A. & Volkmer, H., Oct 1 2011, In : Applications of Mathematics. 56, 5, p. 425-457 33 p.

Research output: Contribution to journalArticle

Small Solutions
Dissipative Equations
Long-time Behavior
Hyperbolic Equations
Quasilinear Elliptic Equation
2009

Almost global strong solutions to quasilinear dissipative evolution equations

Milani, A., Jan 1 2009, In : Chinese Annals of Mathematics. Series B. 30, 1, p. 91-110 20 p.

Research output: Contribution to journalArticle

Dissipative Equations
Strong Solution
Global Existence
Existence Results
Evolution Equation
3 Citations (Scopus)

Parabolic equations of Von Karman type on Kähler manifolds, II

Cherrier, P. & Milani, A., Mar 1 2009, In : Bulletin des Sciences Mathematiques. 133, 2, p. 113-133 21 p.

Research output: Contribution to journalArticle

Existence and Uniqueness Results
Compact Manifold
Parabolic Equation
Weak Solution
Family
2007
3 Citations (Scopus)

Parabolic equations of Von Karman type on Kähler manifolds

Cherrier, P. & Milani, A., Jun 1 2007, In : Bulletin des Sciences Mathematiques. 131, 4, p. 375-396 22 p.

Research output: Contribution to journalArticle

Regular Solution
Compact Manifold
Parabolic Equation
Arbitrary
2006

Almost-periodic solutions to quasilinear evolution equations with a nonlocal nonlinearity

Milani, A. & Pinter, G., Aug 2006, In : Mathematical Methods in the Applied Sciences. 29, 12, p. 1411-1422 12 p.

Research output: Contribution to journalArticle

Almost Periodic Solution
Quasilinear Equations
Existence and Uniqueness Results
Evolution Equation
Nonlinearity

Dynamical systems: Regularity chaos

Milani, A., Dec 1 2006, In : Rendiconti del Seminario Matematico. 64, 3, p. 239-272 34 p.

Research output: Contribution to journalArticle

Équations paraboliques du type de Von Kármán sur les variétés kählériennes

Translated title of the contribution: Parabolic equations of Von Kármán type on Kähler manifoldsCherrier, P. & Milani, A., Jul 1 2006, In : Comptes Rendus Mathematique. 343, 1, p. 23-25 3 p.

Research output: Contribution to journalArticle

Regular Solution
Compact Manifold
Parabolic Equation
2005
43 Citations (Scopus)

Global attractors for singular perturbations of the Cahn-Hilliard equations

Zheng, S. & Milani, A., Feb 1 2005, In : Journal of Differential Equations. 209, 1, p. 101-139 39 p.

Research output: Contribution to journalArticle

Cahn-Hilliard Equation
Global Attractor
Singular Perturbation
Boundary value problems
Dynamical systems
2004
28 Citations (Scopus)
Inertial Manifolds
Exponential Attractors
Cahn-Hilliard Equation
Singular Perturbation
One Dimension
2001
53 Citations (Scopus)

Long-time convergence of solutions to a phase-field system

Milani, A. & Han, Y., Mar 25 2001, In : Mathematical Methods in the Applied Sciences. 24, 5, p. 277-287 11 p.

Research output: Contribution to journalArticle

Phase-field Systems
Convergence of Solutions
Phase Field Model
Euler-Lagrange Equations
Bounded Solutions
1 Citation (Scopus)

Sobolev regularity for t > 0 in quasilinear parabolic equations

Milani, A., Jan 1 2001, In : Mathematische Nachrichten. 231, p. 113-127 15 p.

Research output: Contribution to journalArticle

Quasilinear Parabolic Equations
Regularity
Dissipative Equations
Hyperbolic Problems
Regularity Properties
2000
69 Citations (Scopus)

On the diffusion phenomenonof quasilinear hyperbolic waves

Yang, H. & Milani, A., Jan 1 2000, In : Bulletin des Sciences Mathematiques. 124, 5, p. 415-433 19 p.

Research output: Contribution to journalArticle

Quasilinear Hyperbolic Equation
Nonlinear Parabolic Equations
Asymptotic Behavior of Solutions
Damping
Decay
4 Citations (Scopus)

On the diffusion phenomenon of quasilinear hyperbolic waves

Yang, H. & Milani, A., 2000, In : Chinese Annals of Mathematics. Series B. 21, 1, p. 63-70 8 p.

Research output: Contribution to journalArticle

Quasilinear Hyperbolic Equation
Nonlinear Parabolic Equations
Asymptotic Behavior of Solutions
Damping
Decay
1999
2 Citations (Scopus)

A remark on the Sobolev regularity of classical solutions to uniformly parabolic equations

Milani, A., Jan 1 1999, In : Mathematische Nachrichten. 199, p. 115-144 30 p.

Research output: Contribution to journalArticle

Quasilinear Problems
Classical Solution
Global Existence
Parabolic Equation
Regularity
1998
2 Citations (Scopus)

A remark on the Sobolev regularity of classical solutions of strongly elliptic equations

Milani, A., Jan 1 1998, In : Mathematische Nachrichten. 190, p. 203-219 17 p.

Research output: Contribution to journalArticle

Classical Solution
Elliptic Equations
Regularity
Quasilinear Equations
Coefficient
6 Citations (Scopus)

On the asymptotic behavior of semilinear wave equations with degenerate dissipation and source terms

Georgiev, V. & Milani, A., Jan 1 1998, In : Nonlinear Differential Equations and Applications. 5, 1, p. 53-68 16 p.

Research output: Contribution to journalArticle

Semilinear Wave Equation
Wave equations
Source Terms
Dissipation
Asymptotic Behavior
1996
Quasilinear Hyperbolic Equation
Singular Perturbation
Small Parameter
Dissipation
Term
2 Citations (Scopus)

On some global well-posedness and asymptotic results for quasilinear parabolic equations

McLeod, K. & Milani, A., Jan 1 1996, In : Nonlinear Differential Equations and Applications. 3, 1, p. 79-114 36 p.

Research output: Contribution to journalArticle

Quasilinear Parabolic Equations
Global Well-posedness
Parabolic Problems
Initial-boundary-value Problem
Attractor
1995
1 Citation (Scopus)

On compatible regularizing data for second order hyperbolic initial-boundary value problems

Milani, A. & Shibata, Y., Jan 1 1995, In : Osaka Journal of Mathematics. 32, 2, p. 347-362 16 p.

Research output: Contribution to journalArticle

3 Citations (Scopus)

On the convergence of attractors and exponential attractors for singularly perturbed hyperbolic equations

Eden, A. & Milani, A., Jan 1 1995, In : Turkish Journal of Mathematics. 19, 1, p. 102-117 16 p.

Research output: Contribution to journalArticle

Exponential Attractors
Parameter Perturbation
Singularly Perturbed
Hyperbolic Equations
Parabolic Equation
9 Citations (Scopus)

Weak Solution Theory for Maxwell′s Equations in the Semistatic Limit Case

Milani, A. & Picard, R., Apr 1 1995, In : Journal of Mathematical Analysis and Applications. 191, 1, p. 77-100 24 p.

Research output: Contribution to journalArticle

Curl
Continuous Dependence
Hilbert spaces
Maxwell equations
Maxwell's equations
1993
40 Citations (Scopus)

Exponential attractors for extensible beam equations

Edein, A. & Milani, A. J., 1993, In : Nonlinearity. 6, 3, p. 393-415 23 p.

Research output: Contribution to journalArticle

Exponential Attractors
Beam Equation
Damping
Attractor
functionals
12 Citations (Scopus)

Local exponential attractors for models of phase change for compressible gas dynamics

Eden, A., Milani, A. & Nicolaenko, B., Dec 1 1993, In : Nonlinearity. 6, 1, p. 93-117 25 p., 007.

Research output: Contribution to journalArticle

Exponential Attractors
Gas dynamics
gas dynamics
Phase Change
Gas Dynamics
1992
36 Citations (Scopus)

Finite dimensional exponential attractors for semilinear wave equations with damping

Eden, A., Milani, A. J. & Nicolaenko, B., Sep 15 1992, In : Journal of Mathematical Analysis and Applications. 169, 2, p. 408-419 12 p.

Research output: Contribution to journalArticle

Exponential Attractors
Semilinear Wave Equation
Wave equations
Damping
sine-Gordon equation
1991
3 Citations (Scopus)
1990
2 Citations (Scopus)

A global existence result for quasi-linear parabolic equations

McLeod, K. & Milani, A., Jan 1 1990, In : Communications in Partial Differential Equations. 15, 4, p. 557-594 38 p.

Research output: Contribution to journalArticle

96 Citations (Scopus)

The one-dimensional Darcy's law as the limit of a compressible Euler flow

Marcati, P. & Milani, A., Jan 1 1990, In : Journal of Differential Equations. 84, 1, p. 129-147 19 p.

Research output: Contribution to journalArticle

1989

Almost global existence of solutions of quasi‐linear hyperbolic equations

Milani, A. J. & Brosowski, B., Jan 1 1989, In : Mathematical Methods in the Applied Sciences. 11, 1, p. 65-70 6 p.

Research output: Contribution to journalArticle

Quasilinear Hyperbolic Equation
Initial value problems
Global Existence
Existence of Solutions
Hyperbolic Problems
1988
4 Citations (Scopus)

Global existence for quasi-linear dissipative wave equations with large data and small parameter

Milani, A. J., Jun 1988, In : Mathematische Zeitschrift. 198, 2, p. 291-297 7 p.

Research output: Contribution to journalArticle

33 Citations (Scopus)

Singular convergence of weak solutions for a quasilinear nonhomogeneous hyperbolic system

Marcati, P., Milani, A. J. & Secchi, P., Mar 1988, In : Manuscripta Mathematica. 60, 1, p. 49-69 21 p.

Research output: Contribution to journalArticle

Hyperbolic Systems
Weak Solution
Nonlinear Hyperbolic Systems
Compensated Compactness
Nonlinear Parabolic Equations
1987
10 Citations (Scopus)
1986
11 Citations (Scopus)
1985
3 Citations (Scopus)
Quasilinear Hyperbolic System
Singular Limit
Maxwell's equations
Bounded Domain
Stable Solution
1984
5 Citations (Scopus)
Singular Limit
Maxwell equations
Maxwell's equations
Permittivity
Stable Solution
1982
9 Citations (Scopus)
Quasilinear Hyperbolic System
Regular Solution
Maxwell equations
Maxwell's equations
Bounded Domain
8 Citations (Scopus)
Multiply Connected Domain
Magnetic cores
Curl
Monotone Operator
Maxwell equations