Free Boundary Problems: Theory and Applications, Volume 1 |
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alloys Anal analysis Appl applications approximation assume assumptions asymptotic behaviour boundary conditions boundary value coefficients component computed configuration consider constant convex crystal dead core defined deformation denote density derivative differential equations diffusion displacement domain walls elastic elliptic energy equilibrium ERICKSEN etching existence field Figure finite flow fluid formulation free boundary problems function Ginzburg-Landau theory given grad heat Hölder continuous initial interface Landau theory linear liquid Marangoni convection martensite material Math mathematical Mech Mechanics medium method of lines microgravity minimizer monotone moving boundary nonlinear numerical obtained optimal oxide parabolic parameter phase transition Phys porous media region satisfies shape memory alloys singular solutions solid Solid Mechanics solidification solved space Stefan problem stress superpotential surface temperature Theorem transformation value problem variables variational inequalities vector velocity zero მყ