On a Nonlinear Elliptic-Parabolic Partial Differential Equation System in a Two-Dimensional Groundwater Flow Problem

Ph. Clément; C. J. van Duijn; Shuanhu Li

doi:10.1137/0523044

On a Nonlinear Elliptic-Parabolic Partial Differential Equation System in a Two-Dimensional Groundwater Flow Problem

SIAM Journal on Mathematical Analysis ◽

10.1137/0523044 ◽

1992 ◽

Vol 23 (4) ◽

pp. 836-851 ◽

Cited By ~ 8

Author(s):

Ph. Clément ◽

C. J. van Duijn ◽

Shuanhu Li

Keyword(s):

Differential Equation ◽

Partial Differential Equation ◽

Groundwater Flow ◽

Flow Problem ◽

Equation System ◽

Parabolic Partial Differential Equation ◽

Two Dimensional ◽

Differential Equation System ◽

Partial Differential ◽

Nonlinear Elliptic

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Backwards uniqueness of the $C_{0}$-semigroup associated with a parabolic-hyperbolic Stokes-Lamé partial differential equation system

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-10-04851-8 ◽

2010 ◽

Vol 362 (07) ◽

pp. 3535-3561 ◽

Cited By ~ 3

Author(s):

George Avalos ◽

Roberto Triggiani

Keyword(s):

Differential Equation ◽

Partial Differential Equation ◽

Equation System ◽

Differential Equation System ◽

Partial Differential

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A New Algorithm Based on Differential Transform Method for Solving Partial Differential Equation System with Initial and Boundary Conditions

Advances in Pure Mathematics ◽

10.4236/apm.2020.105020 ◽

2020 ◽

Vol 10 (05) ◽

pp. 337-349

Author(s):

Chenlu Huang ◽

Jiwei Li ◽

Fali Lin

Keyword(s):

Differential Equation ◽

Partial Differential Equation ◽

Boundary Conditions ◽

Equation System ◽

Differential Transform Method ◽

Differential Equation System ◽

Partial Differential ◽

Transform Method ◽

Differential Transform ◽

Initial And Boundary Conditions

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Numerical solution of a partial differential equation system describing chemical kinetics and diffusion in a cell with the aid of compartmentalization

Journal of Computational Chemistry ◽

10.1002/jcc.540110205 ◽

1990 ◽

Vol 11 (2) ◽

pp. 194-204 ◽

Cited By ~ 7

Author(s):

U. Salzner ◽

P. Otto ◽

J. Ladik

Keyword(s):

Differential Equation ◽

Partial Differential Equation ◽

Numerical Solution ◽

Chemical Kinetics ◽

Equation System ◽

Differential Equation System ◽

Partial Differential ◽

A Cell ◽

And Diffusion

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A partial differential equation system for modelling stochastic storage in physical systems with applications to wind power generation

IMA Journal of Management Mathematics ◽

10.1093/imaman/dpp022 ◽

2009 ◽

Vol 22 (3) ◽

pp. 231-252 ◽

Cited By ~ 7

Author(s):

S. D. Howell ◽

P. W. Duck ◽

A. Hazel ◽

P. V. Johnson ◽

H. Pinto ◽

...

Keyword(s):

Differential Equation ◽

Power Generation ◽

Partial Differential Equation ◽

Wind Power ◽

Equation System ◽

Wind Power Generation ◽

Differential Equation System ◽

Partial Differential ◽

Physical Systems

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ON STOCHASTICITY IN THE VON FOERSTER HYPERBOLIC PARTIAL DIFFERENTIAL EQUATION SYSTEM FURTHER APPLICATIONS TO THE MODELING OF AN ASYNCHRONOUSLY DIVIDING CELLULAR SYSTEM

Hyperbolic Partial Differential Equations ◽

10.1016/b978-0-08-030254-6.50019-7 ◽

1983 ◽

pp. 447-457 ◽

Cited By ~ 1

Author(s):

MATTHEW WITTEN

Keyword(s):

Differential Equation ◽

Partial Differential Equation ◽

Equation System ◽

Cellular System ◽

Hyperbolic Partial Differential Equation ◽

Differential Equation System ◽

Partial Differential

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Stabilisation of unstable cascaded heat partial differential equation system subject to boundary disturbance

IET Control Theory and Applications ◽

10.1049/iet-cta.2015.0953 ◽

2016 ◽

Vol 10 (9) ◽

pp. 1027-1039 ◽

Cited By ~ 12

Author(s):

Wen Kang ◽

Bao-Zhu Guo

Keyword(s):

Differential Equation ◽

Partial Differential Equation ◽

Equation System ◽

Differential Equation System ◽

Partial Differential ◽

Boundary Disturbance

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Appoximate Pole Assignment in Some Class of First Order Partial Differential Equation System by Applying the Method of Weighted Residuals

Transactions of the Society of Instrument and Control Engineers ◽

10.9746/sicetr1965.18.139 ◽

1982 ◽

Vol 18 (2) ◽

pp. 139-145

Author(s):

Seiichi KAWATA ◽

Hideaki KANOH ◽

Masami MASUBUCHI

Keyword(s):

Differential Equation ◽

Partial Differential Equation ◽

Equation System ◽

Pole Assignment ◽

Order Partial Differential Equation ◽

Differential Equation System ◽

Partial Differential ◽

Weighted Residuals ◽

First Order ◽

Method Of Weighted Residuals

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Input-State Relation and Controllability of Linear Partial Differential Equation System

Transactions of the Society of Instrument and Control Engineers ◽

10.9746/sicetr1965.6.142 ◽

1970 ◽

Vol 6 (2) ◽

pp. 142-151

Author(s):

Takumi NOMURA ◽

Kahei NAKAMURA

Keyword(s):

Differential Equation ◽

Partial Differential Equation ◽

Linear Partial Differential Equation ◽

Equation System ◽

Input State ◽

Differential Equation System ◽

Partial Differential

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Topology optimization with geometrical feature constraints based on the partial differential equation system for geometrical features (Overhang constraints considering geometrical singularities in additive manufacturing)

Transactions of the JSME (in Japanese) ◽

10.1299/transjsme.19-00129 ◽

2019 ◽

Vol 85 (877) ◽

pp. 19-00129-19-00129

Author(s):

Takayuki YAMADA ◽

Jun MASAMUNE ◽

Hiroshi TERAMOTO ◽

Takahiro HASEBE ◽

Hirotoshi KURODA

Keyword(s):

Differential Equation ◽

Partial Differential Equation ◽

Topology Optimization ◽

Additive Manufacturing ◽

Equation System ◽

Differential Equation System ◽

Partial Differential ◽

Geometrical Feature ◽

Geometrical Features ◽

Feature Constraints

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A finite element solution to a general two-dimensional nonsymmetric parabolic partial differential equation

Computers & Fluids ◽

10.1016/0045-7930(75)90019-5 ◽

1975 ◽

Vol 3 (2-3) ◽

pp. 217-224 ◽

Cited By ~ 3

Author(s):

John C. Bruch ◽

George Zyvoloski

Keyword(s):

Differential Equation ◽

Partial Differential Equation ◽

Finite Element ◽

Finite Element Solution ◽

Parabolic Partial Differential Equation ◽

Two Dimensional ◽

Element Solution ◽

Partial Differential

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