6533b827fe1ef96bd1287270
RESEARCH PRODUCT
A group analysis via weak equivalence transformations for a model of tumor encapsulation
A. M. GrecoGaetana GambinoMaria Carmela Lombardosubject
Pure mathematicsPartial differential equationDifferential equationMathematical analysisOdeGeneral Physics and AstronomyLie groupStatistical and Nonlinear PhysicsWeak equivalenceGroup analysisHomogeneous spacetumor growth Lie symmetries weak equivalence transformationsInvariant (mathematics)Mathematical PhysicsMathematicsdescription
A symmetry reduction of a PDEs system, describing the expansive growth of a benign tumour, is obtained via a group analysis approach. The presence in the model of three arbitrary functions suggests the use of Lie symmetries by using the weak equivalence transformations. An invariant classification is given which allows us to reduce the initial PDEs system to an ODEs system. Numerical simulations show a realistic enough description of the physical process.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2004-03-09 |