whose function of sheet velocity is nonlinear, confines the Casson nanofluid. The final equations, which are obtained from the first mathematical formulations, are solved using the MATLAB built-in solver bvp
variation of constants formulaThis paper presents a variation of constants formula for the system of functional parabolic partial differential equations 힉u(t,x)/힉t = DΔu + Lut + f(t,x), t > O, u ∈ ℝn ℝu(t,x)/ℝη = 0, t >, x ∈ 힉Ω u(o,x) = Φ(x) ...
NON LOCAL HARNACK INEQUALITIES FOR A CLASS OF PARTIAL DIFFERENTIAL EQUATIONS We are concerned with Gaussian lower bounds for positive solutions of a family of hypoelliptic partial differential equations on homogeneous Lie groups. We describe a method that relies on the repeated use of an invariant Har...
A function is symmetric with respect to a point x=L if f(x+L)=f(-x+L) for all x and similarly is antisymmetric if f(x+L)=-f(-x+L). A function which is either symmetric or antisymmetric is said to be of "definite parity" with respect to L. The sines and cosines of a Four...
A backward Euler difference scheme was constructed for the approximation of the partial integro-differential equation with multi-term kernels [14]. Other valuable work on integro-differential equations can be found in [15,16,17,18,19,20,21,22,23,24,25,26] and the references therein. Recently...
Non-euclidean geometry: The Gauss formula and an interpretation of partial differential equationsNo Abstract available for this article.doi:10.1007/BF02365190É. G. PoznyakA. G. PopovKluwer Academic Publishers-Plenum PublishersJournal of Mathematical Sciences...
An explicit formula to find symmetry recursion operators for partial differential equations (PDEs) is obtained from new results connecting variational integrating factors and non-variational symmetries. The formula is special case of a general formula that produces a pre-symplectic operator from a non-...
We establish regularity properties of weak solutions to linear partial differential equations in terms of the continuous wavelet transform of the data. Our arguments rely on the existence of radial functions that remain radial under the operator defined by the highest order terms of the linear ...
wavelet transformregularityH&246lder continuousSobolev spacesWe establish regularity properties of weak solutions to linear partial differential equations in terms of the continuous wavelet transform of the data. Our arguments rely on the existence of radial functions that remain radial under the operator...
I. Pohozaev, "Representation formulae and inequalities for solutions of a class of second order partial differential equations", Trans. Amer. Math. Soc. 358:2 (2006), 893-910 crossrefMathSciNet ZentralMblAatTtHL. D'Ambrosio, E. Mitidieri and S.I. Pohozaev, Representation Formulae and ...