Topics in mathematical modeling

[1]  Matania Ben-Artzi,et al.  Global existence and decay for a nonlinear parabolic equation , 1992 .

[2]  A. D. Polosa X and Y , 2006 .

[3]  Richard S. Varga,et al.  Proof of Theorem 6 , 1983 .

[4]  G. M.,et al.  Partial Differential Equations I , 2023, Applied Mathematical Sciences.

[5]  Subrata Mukherjee,et al.  Shape Sensitivity Analysis , 2005, Encyclopedia of Continuum Mechanics.

[6]  R. Hamilton Matrix Harnack estimate for the heat equation , 1993 .

[7]  J. Rice A path-independent integral and the approximate analysis of strain , 1968 .

[8]  Asymptotic behavior for a viscous Hamilton-Jacobi equation with critical exponent , 2006, math/0609750.

[9]  The L^1‐stability of constant states of degenerate convection–diffusion equations , 1999 .

[10]  Z. Fang,et al.  Complete classification of shape functions of self-similar solutions , 2007 .

[11]  L. Peletier,et al.  A very singular solution of the heat equation with absorption , 1986 .

[12]  Daniel B. Henry Geometric Theory of Semilinear Parabolic Equations , 1989 .

[13]  M. Ben-Artzi,et al.  DECAY OF MASS FOR A SEMILINEAR PARABOLIC EQUATION , 1999 .

[14]  木村 正人,et al.  New mathematical approach to the energy release rate in crack extension , 2006 .

[15]  F. Weissler,et al.  The local theory for viscous Hamilton–Jacobi equations in Lebesgue spaces , 2002 .

[16]  Felix Schlenk,et al.  Proof of Theorem 3 , 2005 .

[17]  Ming-Deh A. Huang,et al.  Proof of proposition 2 , 1992 .

[18]  L. Evans Regularity properties for the heat equation subject to nonlinear boundary constraints , 1977 .

[19]  J. Goodman,et al.  Remarks on a Nonlinear Parabolic Equation , 1999 .