scholarly journals Remark on existence and uniqueness for the thermistor problem under mixed boundary conditions

1989 ◽  
Vol 47 (1) ◽  
pp. 117-121 ◽  
Author(s):  
Giovanni Cimatti
Keyword(s):  
Boundary Conditions ◽  
Existence And Uniqueness ◽  
Mixed Boundary ◽  
Mixed Boundary Conditions ◽  
Thermistor Problem

scholarly journals Systems with Local and Nonlocal Diffusions, Mixed Boundary Conditions, and Reaction Terms

2018 ◽  
Vol 2018 ◽  
pp. 1-10 ◽  
Author(s):  
Mauricio Bogoya ◽  
Julio D. Rossi
Keyword(s):  
Global Existence ◽  
Boundary Conditions ◽  
Existence And Uniqueness ◽  
Blow Up ◽  
Mixed Boundary ◽  
Mixed Boundary Conditions ◽  
Asymptotic Bounds ◽  
Blowing Up ◽  
Blow Up Rate ◽  
Blowing Up Solutions

We study systems with different diffusions (local and nonlocal), mixed boundary conditions, and reaction terms. We prove existence and uniqueness of the solutions and then analyze global existence vs blow up in finite time. For blowing up solutions, we find asymptotic bounds for the blow-up rate.

Perturbational analysis of dual trigonometric series associated with boundary conditions of first and third kind

1978 ◽  
Vol 78 (3-4) ◽  
pp. 291-298 ◽  
Author(s):  
Robert B. Kelman
Keyword(s):  
Boundary Conditions ◽  
Trigonometric Series ◽  
Bounded Variation ◽  
Existence And Uniqueness ◽  
Potential Problem ◽  
Mixed Boundary ◽  
Mixed Boundary Conditions ◽  
Functions Of Bounded Variation ◽  
Uniqueness Theorems ◽  
Trigonometric Equations

SynopsisExistence and uniqueness theorems are established for dual trigonometric equations having right-hand sides that are given functions of bounded variation. The first equation in each pair has coefficients, say {Jn(n + h)} or (jn(n + h – ½)}, and the second equation coefficients {jn)}, where h is a nonnegative constant. A potential problem involving mixed boundary conditions of first and third kind is associated with each dual series. The potential problem is analysed using a stepwise perturbation procedure involving solutions in powers of h. The analysis demonstrates that the present dual series problem can be resolved if the dual series problem associated with the case h = 0 is solvable, the latter being a result obtained earlier.

Existence and uniqueness of a problem in thermo-elasto-plasticity with phase transitions in TRIP steels under mixed boundary conditions

2018 ◽  
Vol 24 (1) ◽  
pp. 87-98
Author(s):  
Sören Boettcher
Keyword(s):  
Phase Transitions ◽  
Boundary Value Problem ◽  
Boundary Conditions ◽  
Existence And Uniqueness ◽  
Mixed Boundary ◽  
Mixed Boundary Conditions ◽  
Complex Model ◽  
Transformation Induced Plasticity ◽  
Trip Steels ◽  
Elasto Plasticity

AbstractIn this paper a complex model describing thermo-elasto-plasticity, phase transitions (PT) and transformation-induced plasticity (TRIP) is studied. The main objective is the analysis of the corresponding initial and boundary value problem (IBVP) considering linearized thermo-elastic dissipation and a viscosity-like regularization.

UNIQUE SOLVABILITY FOR ELECTROMAGNETIC BOUNDARY VALUE PROBLEMS IN THE PRESENCE OF PARTLY LOSSY INHOMOGENEOUS ANISOTROPIC MEDIA AND MIXED BOUNDARY CONDITIONS

2003 ◽  
Vol 13 (04) ◽  
pp. 597-611 ◽  
Author(s):  
ANA ALONSO RODRÍGUEZ ◽  
MIRCO RAFFETTO
Keyword(s):  
Boundary Conditions ◽  
Boundary Value Problems ◽  
Unique Solvability ◽  
Existence And Uniqueness ◽  
Mixed Boundary ◽  
Boundary Value ◽  
Practical Interest ◽  
Anisotropic Media ◽  
Mixed Boundary Conditions ◽  
Inhomogeneous Anisotropic Media

A result on the existence and uniqueness of the solutions of electromagnetic boundary value problems is presented. It is a generalization of the results already available in the open literature which holds true in all cases of practical interest. As a matter of fact, it holds true even in the presence of general inhomogeneous anisotropic media, surfaces of discontinuity, topologically complicated domains and mixed boundary conditions.

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