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

  • 512 Citations
  • 10 h-Index
  • 41 Article
Article
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

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

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

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
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
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

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

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
Quasilinear Hyperbolic Equation
Singular Perturbation
Small Parameter
Dissipation
Term
29 Citations (Scopus)
Inertial Manifolds
Exponential Attractors
Cahn-Hilliard Equation
Singular Perturbation
One Dimension
41 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
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
44 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
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

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
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
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
9 Citations (Scopus)
Quasilinear Hyperbolic System
Regular Solution
Maxwell equations
Maxwell's equations
Bounded Domain

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
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
11 Citations (Scopus)
10 Citations (Scopus)
3 Citations (Scopus)
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

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
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
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
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
8 Citations (Scopus)
Multiply Connected Domain
Magnetic cores
Curl
Monotone Operator
Maxwell equations
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
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
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
3 Citations (Scopus)
Quasilinear Hyperbolic System
Singular Limit
Maxwell's equations
Bounded Domain
Stable Solution
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
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

5 Citations (Scopus)
Singular Limit
Maxwell equations
Maxwell's equations
Permittivity
Stable Solution
10 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