Parabolic time dependent source identification problem with involution and Neumann condition
A time dependent source identification problem for parabolic equation with involution and Neumann condition is studied. The well-posedness theorem on the differential equation of the source identification parabolic problem is established.
A. Ashyralyev, A.S. Erdogan
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Sobre la convexidad de la función de presión en el problema de la filtración no lineal
We prove the convexity of the pressure function v for the isotropic ideal gaz flow, based on the theorem about the zeros of the solution of the parabolic equation (1) Keywords: fluid mechanics, turbulence, parabolic ...
Vladimir N Grebenev
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An approximation scheme for semilinear parabolic PDEs with convex and coercive Hamiltonians [PDF]
We propose an approximation scheme for a class of semilinear parabolic equations that are convex and coercive in their gradients. Such equations arise often in pricing and portfolio management in incomplete markets and, more broadly, are directly ...
Huang, Shuo +2 more
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Multisector Parabolic Equation Method for Scattering From Impenetrable Objects in Fluid Waveguides
Parabolic equation methods are a robust and efficient tool for modeling long-range acoustic propagation in range-dependent waveguides. A lesser known, but equally effective, application of parabolic equations is to the scattering problem.
Adith Ramamurti, David C. Calvo
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Rough surface backscatter and statistics via extended parabolic integral equation [PDF]
This paper extends the parabolic integral equation method, which is very effective for forward scattering from rough surfaces, to include backscatter.
Spivack, Mark, Spivack, Orsola Rath
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Existence results for a fourth order partial differential equation arising in condensed matter physics [PDF]
We study a higher order parabolic partial differential equation that arises in the context of condensed matter physics. It is a fourth order semilinear equation whose nonlinearity is the determinant of the Hessian matrix of the solution. We consider this
Escudero, Carlos +4 more
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Parabolic regularization of the gradient catastrophes for the Burgers-Hopf equation and Jordan chain
Non-standard parabolic regularization of gradient catastrophes for the Burgers-Hopf equation is proposed. It is based on the analysis of all (generic and higher order) gradient catastrophes and their step by step regularization by embedding the Burgers ...
Konopelchenko, B. G., Ortenzi, G.
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Background. Parabolic differential equations of mathematical physics play very important role in mathematical modeling of the wide range of phenomena in physical and technical sciences.
I. V. Boykov, V. A. Ryazantsev
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On the Evolution Equation for Magnetic Geodesics
In this paper we prove the existence of long time solutions for the parabolic equation for closed magnetic geodesics.Comment: In this paper we prove the existence of long time solutions for the parabolic equation for closed magnetic ...
A. Bahri +20 more
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Propagating parabolic rotational beams, new family of accelerated beams [PDF]
A novel class of structured propagating waves with parabolic rotational symmetry is introduced for the first time. These are described by exact solutions of the non-paraxial Helmholtz equation.
Espíndola-Ramos Ernesto +3 more
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