Results 241 to 250 of about 274,651 (285)

The geometrically invariant form of evolution equations

Journal of Physics A: Mathematical and General, 2002
The authors study the geometric invariants for equations as Davey-Stewartson and Novikov-Veselov equations.
Yilmaz, Halis, Athorne, Chris
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Geometric evolution equations in critical dimensions

Calculus of Variations and Partial Differential Equations, 2007
There is a difference in the behaviours of two geometric evolution equations that otherwise show a lot of similarities: the harmonic map heat flow and the Yang-Mills heat flow. Equivariant solutions in the critical dimension can blow up for the former flow [\textit{K.-C. Chang, W.-Y. Ding} and \textit{R. Ye}, J.
Grotowski, J. F., Shatah, J.
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Geometric Evolution of Bilayers under the Degenerate Functionalized Cahn–Hilliard Equation

Multiscale Modeling & Simulation, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shibin Dai, Toai Luong, Xiang Ma
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Symmetry and geometric evolution equations

Journal of Mathematical Sciences, 2006
The author presents a purely analytical approach to geometric flows generated by some functions of principal curvatures. The approach is based on ideas and methods of the theory of nonlinear second order PDE.
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Numerical Approximation of Anisotropic Geometric Evolution Equations

2006
We present a variational formulation of fully anisotropic motion by surface diffusion and mean curvature flow, as well as related flows. The proposed scheme covers both the closed curve case, and the case of curves that are connected via triple junction points.
Barrett, John W., Garcke, Harald, Nürnberg, Robert   +2 more
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Geometric deformations of the evolution equations and bäcklund transformations

Physica D: Nonlinear Phenomena, 1986
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Algebraic-geometrical solutions of some multidimensional nonlinear evolution equations

Journal of Physics A: Mathematical and General, 2003
Summary: The known (2+1)-dimensional breaking soliton equation, the coupled KP equation with three potentials and a new (3+1)-dimensional nonlinear evolution equation are decomposed into systems of solvable ordinary differential equations with the help of the (1+1)-dimensional AKNS equations. The Abel-Jacobi coordinates are introduced to straighten out
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Integrable geometric evolution equations through a deformed Heisenberg spin equation

Journal of Geometry and Physics
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yoon, Dae Won, Yüzbaşı, Zühal Küçükarslan   +1 more
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