RT Journal Article
T1 On the Solution of Boundary Value Problems Set in Domains With Moving Boundaries
A1 Carpio Rodríguez, Ana María
A1 Duro, Gema
AB We construct solutions for time-dependent boundary value problems set in moving domains with Dirichlet, Neumann, and mixed boundary conditions. When the boundaries are time deformations of an initial boundary along a vector field, we can refer the boundary problem to a fixed domain at the cost of increasing the complexity of the coefficients. This strategy works well for heat equations under general boundary conditions. However, it leads to hyperbolic problems including damping terms of the form ∇𝑢𝑡 for wave equations, which we are able to solve with zero Dirichlet boundary conditions. For more general boundaries,extension techniques leading to measure valued sources allow us to construct solutions for heat problems with Neumann boundary conditions.
PB Wiley
SN 0170-4214
SN 1099-1476
YR 2025
FD 2025
LK https://hdl.handle.net/20.500.14352/119893
UL https://hdl.handle.net/20.500.14352/119893
LA eng
NO Carpio, A., & Duro, G.  On the Solution of Boundary Value Problems Set in Domains With Moving Boundaries. Mathematical Methods in the Applied Sciences. 2025 Feb
NO 2025  Acuerdos transformativos CRUE
NO Ministerio de Ciencia e Innovación
DS Docta Complutense
RD 8 jun 2025