Results 41 to 50 of about 7,875,654 (350)
On the structure of minimizers of causal variational principles in the non-compact and equivariant settings [PDF]
, 2012 We derive the Euler-Lagrange equations for minimizers of causal variational principles in the non-compact setting with constraints, possibly prescribing symmetries.
Finster, Felix, Bernard, Yann
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Variational quantum evolution equation solver
Scientific Reports, 2022 AbstractVariational quantum algorithms offer a promising new paradigm for solving partial differential equations on near-term quantum computers. Here, we propose a variational quantum algorithm for solving a general evolution equation through implicit time-stepping of the Laplacian operator.
Fong Yew Leong +2 more
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Geometric Discretization of Lagrangian Mechanics and Field Theories [PDF]
, 2009 This thesis presents a unified framework for geometric discretization of highly oscillatory mechanics and classical field theories, based on Lagrangian variational principles and discrete differential forms. For highly oscillatory problems in mechanics,
Stern, Ari Joshua
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Variational Integrals of a Class of Nonhomogeneous š-Harmonic Equations
Abstract and Applied Analysis, 2014 We introduce a class of variational integrals whose Euler equations are nonhomogeneous š-harmonic equations. We investigate the relationship between the minimization problem and the Euler equation and give a simple proof of the existence of some ...
Guanfeng Li, Yong Wang, Gejun Bao
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Asymptotic Methods for Solitary Solutions and Compactons
Abstract and Applied Analysis, 2012 This paper is an elementary introduction to some new asymptotic methods for the search for the solitary solutions of nonlinear differential equations, nonlinear differential-difference equations, and nonlinear fractional differential equations ...
Ji-Huan He
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Variational equations with constraints
Applied Mathematics Letters, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A variational theory of the Hessian equation
Communications on Pure and Applied Mathematics, 2001 AbstractBy studying a negative gradient flow of certain Hessian functionals we establish the existence of critical points of the functionals and consequently the existence of ground states to a class of nonhomogenous Hessian equations. To achieve this we derive uniform, firstā and secondāorder a priori estimates for the elliptic and parabolic Hessian ...
Chou, Kai-Seng, Wang, Xu-Jia
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Asymptotic Variational Wave Equations [PDF]
Archive for Rational Mechanics and Analysis, 2006 The initial boundary value problem for the equation \((u_{t}+f(u)_{x})_{x}=\frac{1}{2}f''(u)u_{x}^2\) on \((0,T)\times \mathbb{R}^{+}\) is investigated. The authors prove that conservative solutions can be globally defined. Under non-degeneracy condition the conservative solution is unique.
Bressan, Alberto +2 more
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Control variational methods for differential equations [PDF]
, 2000 We review recent results established in the literature via the optimal control approach to differential equations, and we show that a systematic study of general variational inequalities associated to fourth-order operators can be performed by similar ...
Sprekels, JĆ¼rgen +3 more
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Efficient Integration of the variational equations of Multidimensional Hamiltonian Systems: Application to the Fermi-PASTA-Ulam Lattice [PDF]
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering, 2011 We study the problem of efficient integration of variational equations in multidimensional Hamiltonian systems. For this purpose, we consider a RungeāKutta-type integrator, a Taylor series expansion method and the so-called "Tangent Map" (TM) technique ...
E. Gerlach, S. Eggl, C. Skokos
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