Results 51 to 60 of about 880,471 (154)
On Newton's Third Law and its Symmetry-Breaking Effects
, 2011 The law of action-reaction, considered by Ernst Mach the cornerstone of physics, is thoroughly used to derive the conservation laws of linear and angular momentum.
Pinheiro, Mario J.
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Time-Varying Metasurfaces and Lorentz Non-Reciprocity
, 2015 A cornerstone equation of optics, Snell's law, relates the angles of incidence and refraction for light passing through an interface between two media.
Kildishev, Alexander +2 more
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A coupled system of mKdV-KdV equations with damping
Applied Mathematics in Science and EngineeringIn this paper, we study the influence of a damping term on the dynamics of a coupled Korteweg–de Vries type system, namely the mKdV–KdV system, posed on the real line.
Aissa Boukarou +3 more
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Mathematical Modelling and Analysis, 2003 Functionals with values in Non‐Archimedean field of Laurent series applied to the definition of generalized solution (in the form of shock wave) of the Hopf equation and equations of elasticity theory.
M. Radyna
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The Optical Chirality Flux as a Useful Far-Field Probe of Chiral Near Fields
, 2016 To optimize the interaction between chiral matter and highly twisted light, quantities that can help characterize chiral electromagnetic fields near nanostructures are needed.
Burger, Sven +6 more
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Weak compactness of biharmonic maps
Electronic Journal of Differential Equations, 2012 This article shows that if a sequence of weak solutions of a perturbed biharmonic map satisfies $Phi_ko 0$ in $(W^{2,2})^*$ and $u_kightharpoonup u$ weakly in $W^{2,2}$, then $u$ is a biharmonic map. In particular, we show that the space of biharmonic
Shenzhou Zheng
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On the Generation of Infinitely Many Conservation Laws of the Black-Scholes Equation
Computation, 2020 Construction of conservation laws of differential equations is an essential part of the mathematical study of differential equations. In this paper we derive, using two approaches, general formulas for finding conservation laws of the Black-Scholes ...
Winter Sinkala
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Pseudo-Hermiticity protects the energy-difference conservation in the scattering
Physical Review Research, 2023 Symmetry plays a fundamentally important role in physics. In this work, we find a conservation law, S^{†}(H_{c}^{†})S(H_{c})=I, which is valid for any non-Hermitian scattering center H_{c}.
H. S. Xu, L. Jin
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Mathematical Modeling of Cell Growth via Inverse Problem and Computational Approach
ComputationA simple cell population growth model is proposed, where cells are assumed to have a physiological structure (e.g., a model describing cancer cell maturation, where cells are structured by maturation stage, size, or mass). The main question is whether we
Ivanna Andrusyak +3 more
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Normal scaling in globally conserved interface-controlled coarsening of fractal clusters
, 2000 Globally conserved interface-controlled coarsening of fractal clusters exhibits dynamic scale invariance and normal scaling. This is demonstrated by a numerical solution of the Ginzburg-Landau equation with a global conservation law.
A. D. Rutenberg +41 more
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