The 3D Happel model for complete isotropic Stokes flow.
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The asymptotic behaviour of surfaces with prescribed mean curvature near meeting points of fixed and free boundaries
Frank Müller (2007)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
We study the shape of stationary surfaces with prescribed mean curvature in the Euclidean 3-space near boundary points where Plateau boundaries meet free boundaries. In deriving asymptotic expansions at such points, we generalize known results about minimal surfaces due to G. Dziuk. The main difficulties arise from the fact that, contrary to minimal surfaces, surfaces with prescribed mean curvature do not meet the support manifold perpendicularly along their free boundary, in general.
The Calderón Projector for an Elliptic Operator in Divergence Form.
Marcela Sanmartino (2001)
The journal of Fourier analysis and applications [[Elektronische Ressource]]
The complex reflection method for some classes of equations with the third derivative distinguished.
Zasorin, Yu.V. (2004)
Sibirskij Matematicheskij Zhurnal
The Convergence of Even Degree Spline Collocation Solution for Potential Problems in Smooth Domains of the Plane.
J. Saranen (1988)
Numerische Mathematik
The decomposition method for linear, one-dimensional, time-dependent partial differential equations.
Lesnic, D. (2006)
International Journal of Mathematics and Mathematical Sciences
The different solutions of the partial differential equations and the comparing of them
K. Orlov (1978)
Matematički Vesnik
The effect of thin coatings on second harmonic generation.
Ammari, Habib, Bao, Gang, Hamdache, Kamel (1999)
Electronic Journal of Differential Equations (EJDE) [electronic only]
The evolution of dust emitted by a uniform source above ground level.
Eltayeb, I.A., Hassan, M.H.A. (2003)
International Journal of Mathematics and Mathematical Sciences
The existence of nonclassical asymptotic expansion of the trace of a heat kernel for a degenerate elliptic operator.
Chuan-yi Xu (1989)
Mathematische Annalen
The extended tanh-mehtod for finding traveling wave solutions of nonlinear evolution equations.
Zayed, Elsayed M.E., Rahman, Hanan M.Abdel (2010)
Applied Mathematics E-Notes [electronic only]
The Feynman-Kac formula for a system of parabolic equations
Charles S. Kahane (1994)
Czechoslovak Mathematical Journal
The Fourier method for the linear partial differential equations of the -th order
Jaroslav Hančl (1989)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
The general method for solving the partial differential equation of any order with unknown function depending on any number of arguments and the system of such equations
K. Orlov (1978)
Matematički Vesnik
The generalized Airy diffusion equation.
Cholewinski, Frank M., Reneke, James A. (2003)
Electronic Journal of Differential Equations (EJDE) [electronic only]
The Green Function for Uniformly Elliptic Equations.
Michael Grüter, Kjell-O. Widman (1982)
Manuscripta mathematica
The interface crack with Coulomb friction between two bonded dissimilar elastic media
Hiromichi Itou, Victor A. Kovtunenko, Atusi Tani (2011)
Applications of Mathematics
We study a model of interfacial crack between two bonded dissimilar linearized elastic media. The Coulomb friction law and non-penetration condition are assumed to hold on the whole crack surface. We define a weak formulation of the problem in the primal form and get the equivalent primal-dual formulation. Then we state the existence theorem of the solution. Further, by means of Goursat-Kolosov-Muskhelishvili stress functions we derive convergent expansions of the solution near the crack tip.
The jump problem for mixed-type equations with defects on the type change line.
Maher, Ahmed (2010)
Boundary Value Problems [electronic only]
The Laplace method of the linear partial differential equations of the -th order
Jaroslav Hančl (1989)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
The level crossing problem in semi-classical analysis I. The symmetric case
Yves Colin de Verdière (2003)
Annales de l’institut Fourier
We describe a microlocal normal form for a symmetric system of pseudo-differential equations whose principal symbol is a real symmetric matrix with a generic crossing of eigenvalues. We use it in order to give a precise description of the microlocal solutions.
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