Results 71 to 80 of about 1,312 (223)
Classical solutions of quasilinear parabolic systems on two dimensional domains
, 2006 Using results on abstract evolutions equations and recently obtained results on elliptic operators with discontinuous coefficients including mixed boundary conditions we prove that quasilinear parabolic systems admit a local, classical solution in the ...
Neidhardt, Hagen +2 more
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Proceedings in Applied Mathematics and Mechanics, Volume 24, Issue 1, June 2024.Abstract We investigate the maximum principle for the weak solutions to the Cauchy problem for the hyperbolic fourth‐order linear equations with constant complex coefficients in the plane bounded domain.
Kateryna Buryachenko
wiley +1 more source
Advances in Difference Equations, 2010 We consider the quasilinear parabolic equation with inhomogeneous term , , where , , , , and , . In this paper, we investigate the critical exponents of this equation.
Kobayashi Yasumaro
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A multiplicity result for a class of quasilinear elliptic and parabolic problems
Electronic Journal of Differential Equations, 1997 We prove the existence of infinitely many solutions for a class of quasilinear elliptic and parabolic equations, subject respectively to Dirichlet and Dirichlet-periodic boundary conditions.
M. R. Grossinho, Pierpaolo Omari
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Existence and uniqueness for a coupled parabolic‐hyperbolic model of MEMS
Mathematical Methods in the Applied Sciences, Volume 47, Issue 7, Page 6310-6353, 15 May 2024.Local wellposedness for a nonlinear parabolic‐hyperbolic coupled system modeling Micro‐Electro‐Mechanical System (MEMS) is studied. The particular device considered is a simple capacitor with two closely separated plates, one of which has motion modeled by a semilinear hyperbolic equation.
Heiko Gimperlein +2 more
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Electronic Journal of Differential Equations, 1996 initial data are established for a quasilinear functional reaction-diffusion equation which arises from a two-dimensional energy balance climate model.
Georg Hetzer
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High-Order Difference Scheme for Time-Fractional Quasilinear Parabolic Equations
MathematicsMathematical modeling of heat and mass transfer processes in porous media using fractional derivative equations is of great practical importance. Within the framework of such models, obtaining analytical solutions to the corresponding initial–boundary ...
Miglena N. Koleva, Lubin G. Vulkov
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Electronic Journal of Differential Equations, 2016 We prove the existence and uniqueness of singular solutions (fundamental solution, very singular solution, and large solution) of quasilinear parabolic equations with absorption for Dirichlet boundary condition. We also show the short time behavior of
Nguyen Anh Dao
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Известия высших учебных заведений: Нефть и газ, 2018 The article deals with the classical mathematical model of filtration of two immiscible liquids in a non-deformable porous medium taking into account capillary forces. It is the Muskat - Leverett model. The model is based on the experimentally determined
I. G. Telegin, O. B. Bocharov
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One dimensional parabolic free boundary problems
, 1975 The method of lines is used to approximate explicit and implicit free boundary problems for a linear one dimensional diffusion equation with a sequence of free boundary problems for ordinary differential equations.
Meyer, G H
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