Hong Thai Nguyen

From Người Việt thành công tại nước ngoài

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• Vietnamese name: Nguyễn Hồng Thái
• Major: Mathematics
• Country: Poland
• Email: nguyenht@sus.univ.szczecin.pl, congdungthai@yahoo.com
• Homepage: http://www.us.szc.pl/uk1?xml=load_page&st=4510&ar=1&id=1416&gs=&pid=5196
• Institution: Szczecin University
• Department: Institute of Mathematics of Szczecin University
• Position: Nadzwyczajny Prof., Professor of the Szczecin University, Head of the Division of Nonlinear Analysis
• Tags: Modern Methods of Calculus of Variations coupled with Real-World Nonlinear Evolution Problems, Protein Folding Problem, Nonlinear Analysis, Functional Analysis, Operator Theory, Integral Equations, Statistical Physics of Liquid Crystalline Polymers

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Details of my research interests: \leftline{V. RESEARCH INTERESTS:} \leftline{(2000 Mathematics Subject Classification)}

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{\bf 49 Calculus of Variations: }

Relaxation and Homogenization of multiple integrals with non-polynomial non-standard growth-type densities;

Global relaxation method and relaxation of multiple integrals in interpolation {O}rlicz-{S}obolev spaces;

{$\Cal{A}$}-Quasiconvexity, {$\Cal{A}$}-{Y}oung measures and {$\Cal{A}$}-constrained homogenization in the interpolation {O}rlicz-{S}obolev space setting;

$\Gamma$-convergence derivation for elastic thin films in in interpolation {O}rlicz-{S}obolev spaces;

Compensated compactness method for homogenization in the interpolation {O}rlicz-{S}obolev space setting;

Young measure solutions v/s microstructures evolution and multi-phase flows (in both Sobolev and Orlicz-Sobolev space settings) generated by nonlinear hyperbolic / parabolic / Navier-Stokes Non-Newtonian PDEs and their coupled systems with applications to Real-World Models in Nonlinear Elastodynamics, Nonlinear Thermoelastodynamics, Nuclear Reactor Safety Analysis and Rheology of Oldroyd-B Blood Flows with experimetal logarithmic-type stress functions.

{\bf 46 Functional Analysis: }

Non-power parameter interpolation  and
compact trace embedding for {O}rlicz-{S}obolev spaces;

Non-{s}olid {g}eneralized {O}rlicz {s}paces of {v}ector-valued
{f}unctions,

Banach $M$-spaces, Banach $L_\infty$-modules of measurable
{v}ector-valued functions

{\bf 47 Operator Theory:}

Weak convergence method and strongly nonlinear PDEs;

Multivalued superposition Nemytskij operators;

Joint $CM$-selectors (Cellina-Michael selectors) for pairs of oppositely semicontinuous multifunctions / multimaps;

Applications of Nonlinear Analysis to partial differential equations / inclusions with regular / singular nonlinearities.

{\bf 45 Integral Equations}

Weak convergence method and strongly nonlinear integral equations / inclusions (of Hammerstein type, of Volterra type)

{\bf 82D60 Polymers}

Mathematical anisotropic nonhomogeneous models for the free energy as multiple integrals on ${R}^3\times S^2$ for the adsorption-surface phenomena in Statistical Physics of Liquid Crystalline Polymers

and their nonlinear algebraic-differential / integro-differential equilibrium equations