Home Page of Milan Miklavcic



Selected Work

A Sharp Condition for Existence of an Inertial Manifold

Counter example to uniqueness for semilinear parabolic equations

Approximations for Weakly Nonlinear Evolution Equations

Eigenvalues of the Orr-Sommerfeld Equation

Nonlinear Stability of Asymptotic Suction

On a Semilinear Biharmonic Equation

Asymptotic Periodicity of the Iterates of Positivity Preserving Operators

State Space Representation of the Nonself-Adjoint Acoustic Duct System


The Latest Work

APPLIED FUNCTIONAL ANALYSIS AND PARTIAL DIFFERENTIAL EQUATIONS
my book (1998)

Impulsive stretching of a surface in a viscous fluid (.dvi file)
with Q. Du, C.C. Chang and C.Y.Wang, SIAM J. Appl. Math. 57(1997) 1-14.

On Nonlinear Stability of Maxwellian states for discrete velocity models of the extended Boltzmann equation (.dvi file)
with G. Spiga, J. Phys. A: Math. Gen. 31 (1998) 5393-5400.

Stability of Maxwellian states for discrete velocity models of the extended Boltzmann equation (.dvi file)
with G. Spiga, Rendiconti del Circolo Matematico Di Palermo, Serie II, Suppl. 57(1998), pp.465-470.

Stability of Maxwellian states for the Broadwell model of the extended Boltzmann equation (.dvi file)
with G. Spiga, Z. angew. Math. Phys. (ZAMP) 49 (1998) 590-601.

On stability of one-dimensional diffusion flames (.pdf file)
with R. Vance and I.S. Wichman, Combustion Theory and Modelling 5 No 2 (2001) 147-161.

The flow due to a rough rotating disk  (.pdf file)
with C.Y. Wang, Z. angew. Math. Phys. (ZAMP) 54 No 2 (2004) 235-246.

Layered Von Karman's swirling flow (.pdf file)
J. Math. Anal. Appl. 294 No 1 (2004) 24-33.

Oscillations and Island Evolution in Radiating Diffusion Flames 
with A. Moore and I. Wichman, Combustion Theory and Modelling 9 No 3 (2005) 403-416.

Viscous flow due to a shrinking sheet 
with C.Y. Wang, Quart. Appl. Math. 64 (2006), 283-290.

Period Doubling Cascade in Diffusion Flames
Combustion Theory and Modelling 11 No 1 (2007), 103-112.

Some programming exercises:
Online Chess (Perl), Rubik's Cube (JavaScript), XO (Fortran to CGI), Bulletin Board (Perl).


Links

Math Department
MSU
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