Results 201 to 210 of about 6,995,740 (255)
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Theory and Reduction of Singularities
1948Let x1, x2,…, xr+1 be homogeneous point coordinates in a complex projective γ-dimensional space Sr. An algebraic variety V in S γ is the locus of point (x) satisfiying a system of algebraic equations, $${f_1}\left( {{x_{1,}} \ldots ,{x_\gamma }_{ + 1}} \right) = 0, \ldots ,{f_n}\left( {{x_1}, \ldots ,{x_{\gamma + 1}}} \right) = 0$$ (1) , where
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A Singular Problem in Electrolytes Theory
Mathematical Methods in the Applied Sciences, 1997Existence and nonexistence of solutions for a parabolic-elliptic system describing the electrodiffusion of ions are studied. This system is of the form: \[ u_t= \nabla\cdot(\nabla u- u\nabla\varphi),\quad \Delta(\varphi+ V)= u, \] where \(u,\varphi: \Omega\times\mathbb{R}^+\to \mathbb{R}\), \(V:\Omega\to \mathbb{R}\), and \(\Omega\) is a bounded smooth
Biler, Piotr, Nadzieja, Tadeusz
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Canonical quantization of singular theories
Soviet Physics Journal, 1983We construct here a formal operator formulation of a singular theory. In tackling this problem we shall bear in mind that there are many physically equivalent classical theories which can describe a physical system. Hence one may believe that all the quantum theories corresponding to these classical theories must also be physically equivalent and that ...
Dmitriy M. Gitman, Igor V. Tyutin
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Spacetime singularities in string theory
Physical Review Letters, 1990Summary: It is shown that a large class of time-dependent solutions to Einstein's equation are classical solutions to string theory. These include metrics with large curvature and some with spacetime singularities. Unlike the case of orbifold singularities, it is shown that string propagation through the singluar region is not well behaved.
Horowitz, Gary T., Steif, Alan R.
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1981
Professor Arnold is a prolific and versatile mathematician who has done striking work in differential equations and geometrical aspects of analysis. In this volume are collected seven of his survey articles from Russian Mathematical Surveys on singularity theory, the area to which he has made most contribution.
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Professor Arnold is a prolific and versatile mathematician who has done striking work in differential equations and geometrical aspects of analysis. In this volume are collected seven of his survey articles from Russian Mathematical Surveys on singularity theory, the area to which he has made most contribution.
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NAIVE SINGULAR PERTURBATION THEORY
Mathematical Models and Methods in Applied Sciences, 2001The paper demonstrates, via extremely simple examples, the shocks, spikes, and initial layers that arise in solving certain singularly perturbed initial value problems for first-order ordinary differential equations. As examples from stability theory, they are basic to many asymptotic techniques.
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1999
Singularity theory is a broad subject with vague boundaries. It draws on many other areas of mathematics, and in turn has contributed to many areas both within and outside mathematics, in particular differential and algebraic geometry, knot theory, differential equations, bifurcation theory, Hamiltonian mechanics, optics, robotics and computer vision ...
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Singularity theory is a broad subject with vague boundaries. It draws on many other areas of mathematics, and in turn has contributed to many areas both within and outside mathematics, in particular differential and algebraic geometry, knot theory, differential equations, bifurcation theory, Hamiltonian mechanics, optics, robotics and computer vision ...
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Input-Output Networks, Singularity Theory, and Homeostasis
Advances in Dynamics, Optimization and Computation, 2020M. Golubitsky +4 more
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Removability of singularities in potential theory
Potential Analysis, 1994Etant donné un ouvert \(G\) de \(\mathbb{R}^ N\), un opérateur différentiel linéaire \(P(D)\) à coefficients \(\in{\mathcal C}^ \infty(G)\) et une partie fermée \(F\) de \(G\), on établit des conditions, les unes suffisantes, les autres nécessaires, pour que toute \(u\in{\mathcal L}^ 1_{\text{loc}}(G)\) solution (au sens des distributions) de \(P(D)u ...
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On Field Theory Methods in Singular Perturbation Theory
Letters in Mathematical Physics, 2003zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kurasov, P., Pavlov, Yu. V.
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