smooth solution
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Weak solution — In mathematics, a weak solution (also called a generalized solution) to an ordinary or partial differential equation is a function for which the derivatives appearing in the equation may not all exist but which is nonetheless deemed to satisfy… … Wikipedia
Differential geometry of surfaces — Carl Friedrich Gauss in 1828 In mathematics, the differential geometry of surfaces deals with smooth surfaces with various additional structures, most often, a Riemannian metric. Surfaces have been extensively studied from various perspectives:… … Wikipedia
Soliton — In mathematics and physics, a soliton is a self reinforcing solitary wave (a wave packet or pulse) that maintains its shape while it travels at constant speed. Solitons are caused by a cancellation of nonlinear and dispersive effects in the… … Wikipedia
Hörmander's condition — In mathematics, Hörmander s condition is a property of vector fields that, if satisfied, has many useful consequences in the theory of partial and stochastic differential equations. The condition is named after the Swedish mathematician Lars… … Wikipedia
algebra — /al jeuh breuh/, n. 1. the branch of mathematics that deals with general statements of relations, utilizing letters and other symbols to represent specific sets of numbers, values, vectors, etc., in the description of such relations. 2. any of… … Universalium
Korteweg–de Vries equation — In mathematics, the Korteweg–de Vries equation (KdV equation for short) is a mathematical model of waves on shallow water surfaces. It is particularly notable as the prototypical example of an exactly solvable model, that is, a non linear partial … Wikipedia
Flux limiter — Flux limiters are used in high resolution schemes mdash; numerical schemes used to solve problems in science and engineering, particularly fluid dynamics, described by partial differential equations (PDE s). They are used in high resolution… … Wikipedia
Inverse mean curvature flow — In the field of differential geometry in mathematics, inverse mean curvature flow (IMCF) is an example of a geometric flow of hypersurfaces a Riemannian manifold (for example, smooth surfaces in 3 dimensional Euclidean space). Intuitively, a… … Wikipedia
Magnetic monopole — It is impossible to make magnetic monopoles from a bar magnet. If a bar magnet is cut in half, it is not the case that one half has the north pole and the other half has the south pole. Inst … Wikipedia
Hamilton-Jacobi-Bellman equation — The Hamilton Jacobi Bellman (HJB) equation is a partial differential equation which is central to optimal control theory.The solution of the HJB equation is the value function , which gives the optimal cost to go for a given dynamical system with … Wikipedia
't Hooft-Polyakov monopole — In theoretical physics, the t Hooft Polyakov monopole (hedgehog) is a topological soliton similar to the Dirac monopole but without any singularities. It arises in the case of a Yang Mills theory with a gauge group G, coupled to a Higgs field… … Wikipedia
