MathematicsThis work develops an analytical framework for nonlinear fractional partial differential equations that combine Kirchhoff-type terms, double-phase operators, and ψ-Hilfer fractional derivatives.
Najla Mohammed Alghamdi
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Parity and generalized multiplicity [PDF]
, 1991 Assuming that X and Y are Banach spaces and that T is a path of linear Fredholm operators with invertible endpoints, in [F-Pl] we defined a homotopy invariant "the parity of T .
Fitzpatrickp. +2 more
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Analysis of a class of penalty methods for computing singular minimizers [PDF]
, 2010 Amongst the more exciting phenomena in the field of nonlinear partial differential equations is the Lavrentiev phenomenon which occurs in the calculus of variations.
Ortner, Christoph, Carstensen, Carsten
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Degenerate nonlinear diffusion equations
, 2012 The aim of these notes is to include in a uniform presentation style several topics related to the theory of degenerate nonlinear diffusion equations, treated in the mathematical framework of evolution equations with multivalued m-accretive operators in ...
Favini, Angelo +2 more
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Decay estimates for evolution equations with classical and fractional time-derivatives
, 2019 Using energy methods, we prove some power-law and exponential decay estimates for classical and nonlocal evolutionary equations. The results obtained are framed into a general setting, which comprise, among the others, equations involving both standard ...
E. Affili +3 more
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Efficient upwind algorithms for solution of the Euler and Navier-stokes equations [PDF]
, 1995 An efficient three-dimensionasl tructured solver for the Euler and Navier-Stokese quations is developed based on a finite volume upwind algorithm using Roe fluxes. Multigrid and optimal smoothing multi-stage time stepping accelerate convergence.
McNeil, C. Y., McNeil, C
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ДРОБНОЕ ИСЧИСЛЕНИЕ И АППРОКСИМАЦИОННЫЕ МЕТОДЫ В МОДЕЛИРОВАНИИ ДИНАМИЧЕСКИХ СИСТЕМ [PDF]
, 2008 Книга посвящена аппроксимационно-операционным методам моделирования динамических систем дробного и смешанного порядков. Рассмотрены методы аппроксимации сигналов обобщенными полиномами с различными системами базисных функций, построение на основе этих ...
Симак, Лилия Алексеевна +1 more
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Nonexistence results for nonlocal equations with critical and supercritical nonlinearities [PDF]
, 2015 We prove nonexistence of nontrivial bounded solutions to some nonlinear problems involving nonlocal operators of the form; [GRAPHICS]; These operators are infinitesimal generators of symmetric Levy processes.
Serra Montolí, Joaquim +1 more
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The Nontriviality of Trivial General Covariance: How Electrons Restrict 'Time' Coordinates, Spinors (Almost) Fit into Tensor Calculus, and 7/16 of a Tetrad Is Surplus Structure [PDF]
, 2011 It is a commonplace in the philosophy of physics that any local physical theory can be represented using arbitrary coordinates, simply by using tensor calculus. On the other hand, the physics literature often claims that spinors \emph{as such} cannot be
Pitts, J. Brian, J. Brian Pitts
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Probabilistic representations of solutions of nonlinear PDEs
, 2022 We provide new probabilistic representations for solutions of nonlinear differential equations through the use of branching processes. These stochastic methods are used to derive local existence criteria and can be implemented for Monte Carlo simulations
Penent, Guillaume
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