Results 21 to 30 of about 2,985 (242)
, 2022 Existing results provide the existence of positive solutions to a class of semilinear elliptic PDEs with logistic-type nonlinearities and harvesting terms both in RN and in bounded domains U ⊂ RN with N ≥ 3, when the carrying capacity of the environment ...
Jameson, Eric
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Comparative Assessment of Nonlocal Continuum Solvent Models Exhibiting Overscreening
Computational and Mathematical Biophysics, 2017 Nonlocal continua have been proposed to offer a more realistic model for the electrostatic response of solutions such as the electrolyte solvents prominent in biology and electrochemistry. In this work, we review three nonlocal models based on the Landau-
Ren Baihua, Bardhan Jaydeep P.
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Integrable viscous conservation laws
, 2015 We propose an extension of the Dubrovin-Zhang perturbative approach to the study of normal forms for non-Hamiltonian integrable scalar conservation laws. The explicit computation of the first few corrections leads to the conjecture that such normal forms
Moro, Antonio +2 more
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$L_2$-Gain Analysis of Coupled Linear 2D PDEs using Linear PI Inequalities
, 2022 In this paper, we present a new method for estimating the $L_2$-gain of systems governed by 2nd order linear Partial Differential Equations (PDEs) in two spatial variables, using semidefinite programming.
Peet, Matthew M., Jagt, Declan S.
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New evolution PDEs with many isochronous solutions
, 2009 Certain nonlinear evolution PDEs in 1+1 variables (time and space) are identified, featuring a positive parameter to and evolving, for a large class of initial data, periodically with the fixed period T = 27 pi/omega (or perhaps (T) over tilde = pT with ...
N. Euler +8 more
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Non-local dispersal and bistability
, 2006 The scalar initial value problem [ u_t = ho Du + f(u), ] is a model for dispersal. Here $u$ represents the density at point $x$ of a compact spatial region $Omega in mathbb{R}^n$ and time $t$, and $u(cdot)$ is a function of $t$ with values in some ...
Hutson, V. +3 more
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Patankar-Type Runge-Kutta Schemes for Linear PDEs [PDF]
, 2016 We study the local discretization error of Patankar-type Runge-Kutta methods applied to semi-discrete PDEs. For a known two-stage Patankar-type scheme the local error in PDE sense for linear advection or diffusion is shown to be of the maximal order ${
Ortleb, Sigrun +6 more
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, 2022 The generalized Logistic function that solves a first-order nonlinear ODE with an arbitrary positive power term of the dependent variable is introduced in this paper, by means of which the traveling wave solutions of a class of nonlinear evolution ...
Jinliang Zhang +2 more
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Symmetry and monotonicity of singular solutions to p-Laplacian systems involving a first order term [PDF]
We consider positive singular solutions (i.e. with a non-removable singularity) of a system of PDEs driven by p-Laplacian operators and with the additional presence of a nonlinear first order term.
Esposito, Francesco +3 more
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HeliyonThe current research presents a mathematical model to study the flow of a non-Newtonian magnetohydrodynamics (MHD) Casson-Carreau nanofluid (CCNF) over a stretching porous surface, considering mass and heat transport rates with Stefan blowing, non-linear
Musharafa Saleem, Majid Hussain
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