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三亚国际数学论坛：Nonlinear PDEs in Continuum Mechanics and Related Topics
三亚国际数学论坛 Nonlinear PDEs Continuum Mechanics
2017/11/24
Mathematical theory of continuum mechanics gives rise to important classes of nonlinear partial differential equations, such as the celebrated Euler and Navier-Stokes equations for both compressible a...
Homogenization and continuum percolation
Homogenization random media continuum percolation
2011/9/22
Abstract: We propose continuum percolation theory to study homogenization problems of elliptic equations.Our aim is to improve and extend similar results that have been obtained for periodic domains u...
Microscopic structures from reduction of continuum nonlinear problems
Nonlinear elasticity exact finite reduction Ljusternik–Schnirelmann theory generating functions quadratic at infinity
2011/9/19
Abstract: We present an application of the Amann-Zehnder exact finite reduction to a class of nonlinear perturbations of elliptic elasto-static problems. We propose the existence of minmax solutions b...