Results 21 to 30 of about 343 (50)
Symmetry breaking for a problem in optimal insulation [PDF]
, 2016 We consider the problem of optimally insulating a given domain $\Omega$ of ${\mathbb{R}}^d$; this amounts to solve a nonlinear variational problem, where the optimal thickness of the insulator is obtained as the boundary trace of the solution.
Bucur, Dorin +2 more
core +2 more sources
Simple partially invariant solutions
Ufimskii Matematicheskii Zhurnal, 2019 The continuous medium models of hydrodynamic type admit 11th dimensional Lie algebra of Galilean group enlarged by uniform dilatation of all independent variables. All subalgebras of this Lie algebra are listed up to inner automorphisms.
S. Khabirov
semanticscholar +1 more source
The Soap Bubble Theorem and a $p$-Laplacian overdetermined problem [PDF]
, 2019 We consider the $p$-Laplacian equation $-\Delta_p u=1$ for ...
Colasuonno, Francesca, Ferrari, Fausto
core +2 more sources
Nonexistence Results for Semilinear Equations in Carnot Groups
Analysis and Geometry in Metric Spaces, 2013 In this paper, following [3], we provide some nonexistence results for semilinear equations in the the class of Carnot groups of type ★.This class, see [20], contains, in particular, all groups of step 2; like the Heisenberg group, and also Carnot ...
Ferrari Fausto, Pinamonti Andrea
doaj +1 more source
On a result by Boccardo-Ferone-Fusco-Orsina
, 2011 Via a symmetric version of Ekeland's principle recently obtained by the author we improve, in a ball or an annulus, a result of Boccardo-Ferone-Fusco-Orsina on the properties of minimizing sequences of functionals of calculus of variations in the non ...
Squassina, Marco
core +1 more source
GROUP FOLIATION OF DIFFERENTIAL EQUATIONS USING MOVING FRAMES
Forum of Mathematics, Sigma, 2015 We incorporate the new theory of equivariant moving frames for Lie pseudogroups into Vessiot’s method of group foliation of differential equations. The automorphic system is replaced by a set of reconstruction equations on the pseudogroup jets.
ROBERT THOMPSON, FRANCIS VALIQUETTE
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Supplement a high-dimensional time fractional diffusion equation
Alexandria Engineering Journal, 2023 In this article, we discussed a high-dimensional time fractional diffusion equation which is used to write many nonlinear phenomena in three dimensional space diffusion processes.
Jian-Gen Liu, Fa-Zhan Geng, Xin Li
doaj
Lie Symmetry Analysis of a Nonlinear Black–Scholes Equation in Illiquid Markets
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.We have conducted comprehensive Lie symmetry analysis of a nonlinear Black–Scholes equation that arises in illiquid markets. The equation incorporates nonlinearities arising from market constraints, such as transaction costs and liquidity effects.
Winter Sinkala, Theodore Simos
wiley +1 more source
Classical Lie symmetries and reductions of a nonisospectral Lax pair
, 2011 The classical Lie method is applied to a nonisospectral problem associated with a system of partial differential equations in 2+1 dimensions (Maccari A, J. Math. Phys. 39, (1998), 6547-6551).
Ablowitz M. J. +10 more
core +1 more source
On similarity solutions to (2+1)-dispersive long-wave equations
Journal of Ocean Engineering and Science, 2023 This work is devoted to get a new family of analytical solutions of the (2+1)-coupled dispersive long wave equations propagating in an infinitely long channel with constant depth, and can be observed in an open sea or in wide channels.
Raj Kumar +2 more
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