Results 21 to 30 of about 166,339,283 (190)

Partial differential equations of mixed type—analysis and applications

open access: yes, 2023
Partial differential equations (PDEs) are at the heart of many mathematical and scientific advances. While great progress has been made on the theory of PDEs of standard types during the last eight decades, the analysis of nonlinear PDEs of mixed type is
Chen, Gui-Qiang G
core   +1 more source

On integrable conservation laws [PDF]

open access: yes, 2014
We study normal forms of scalar integrable dispersive (non necessarily Hamiltonian) conservation laws via the Dubrovin-Zhang perturbative scheme. Our computations support the conjecture that such normal forms are parametrised by infinitely many arbitrary
Moro, Antonio   +2 more
core   +1 more source

L2(Σ)-regularity of the boundary to boundary operator B∗L for hyperbolic and Petrowski PDEs

open access: yesAbstract and Applied Analysis, 2003
This paper takes up and thoroughly analyzes a technical mathematical issue in PDE theory, while—as a by-pass product—making a larger case. The technical issue is the L2(Σ)-regularity of the boundary → boundary operator B∗L for (multidimensional ...
I. Lasiecka, R. Triggiani
doaj   +1 more source

Insights into the Stability of Mixed Convective Darcy–Forchheimer Flows of Cross Liquids from a Vertical Plate with Consideration of the Significant Impact of Velocity and Thermal Slip Conditions

open access: yesMathematics, 2019
This paper reflects the effects of velocity and thermal slip conditions on the stagnation-point mixed convective flow of Cross liquid moving over a vertical plate entrenched in a Darcy−Forchheimer porous medium.
Umair Khan   +4 more
doaj   +1 more source

Stifling silos: The need for a more holistic approach to mixed migration in a warming world [PDF]

open access: yes, 2021
A climate-changed world is one of mixed migration taking place across a spectrum of time, space, and agency, with both positive and negative outcomes.
Zickgraf, Caroline
core   +1 more source

On the formulation and investigation of a boundary value problem for a third-order equation of a parabolic-hyperbolic type

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы
In the paper a novel boundary value problem for a third-order partial differential equation (PDE) of a parabolic-hyperbolic type, within a pentagonal domain consisting of both parabolic and hyperbolic regions was investigated. Such equations are pivotal
М. Мамажанов   +2 more
doaj   +1 more source

Analytical and numerical investigation of mixed-type functional differential equations [PDF]

open access: yes, 2009
NOTICE: this is the author’s version of a work that was accepted for publication in Journal of computational and applied mathematics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and ...
Ford, Neville J.   +3 more
core   +1 more source

Nonlinear Pantograph-Type Diffusion PDEs: Exact Solutions and the Principle of Analogy

open access: yes, 2021
We study nonlinear pantograph-type reaction–diffusion PDEs, which, in addition to the unknown u=u(x,t), also contain the same functions with dilated or contracted arguments of the form w=u(px,t), w=u(x,qt), and w=u(px,qt), where p and q are the free ...
Vsevolod G. Sorokin, Andrei D. Polyanin
core   +1 more source

Geophysical Monge–Ampère-Type Equation: Symmetries and Exact Solutions

open access: yesMathematics
This paper studies a mixed PDE containing the second time derivative and a quadratic nonlinearity of the Monge–Ampère type in two spatial variables, which is encountered in geophysical fluid dynamics.
Andrei D. Polyanin, Alexander V. Aksenov
doaj   +1 more source

The numerical solution of forward–backward differential equations: Decomposition and related issues [PDF]

open access: yes, 2010
NOTICE: this is the author’s version of a work that was accepted for publication in Journal of Computational and Applied Mathematics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and ...
Ford, Neville J.   +3 more
core   +1 more source

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