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The Initial-Boundary Value Problem and the Constraint
2013In this chapter we introduce the definitions of boundary data and of constraints. More precisely, we study the initial-boundary value problem in Sect. 6.2, the constrained Riemann problem in Sect. 6.3, the constrained Cauchy problem in Sect. 6.4 and finally the constrained initial-boundary value problem in the last section.
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Parabolic and Hyperbolic Initial Boundary Value Problems
2006The final chapter of this book is devoted to the approximation of time-dependent partial differential equations. Parabolic and hyperbolic initial-boundary value problems will be addressed and either finite differences and finite elements will be considered for their discretization.
Alfio Quarteroni +2 more
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The Initial-Boundary-Value Problems in the Theory of Micropolar Fluids
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1978AbstractThe author considers the existence of solutions of the initial‐boundary‐value problem for the equations which describe the flow of incompressible micropolar fluids, by using a related, simpler set of equations and then taking a limit.
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Application to semilinear initial-boundary value problems
1991This chapter is devoted to the semigroup approach to a class of initialboundary value problems for semilinear parabolic differential equations. We prove Theorem 1.5 by using the theory of fractional powers of analytic semigroups (Theorems 10.1 and 10.2). To do this, we verify that all the conditions of Theorem 2.8 are satisfied.
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Navigating financial toxicity in patients with cancer: A multidisciplinary management approach
Ca-A Cancer Journal for Clinicians, 2022Grace Li Smith +2 more
exaly