Sökning: "nonlinear parabolic equations"

Visar resultat 1 - 5 av 29 avhandlingar innehållade orden nonlinear parabolic equations.

1. 1. Qualitative Aspects of Nonlinear Parabolic Partial Differential Equations and Systems

   Författare :Joakim Petersson; Matematik (naturvetenskapliga fakulteten); []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Matematik; Mathematics; Optimal constants; Global existence; Parabolic equations; Quenching;

   Sammanfattning : This thesis contains four papers about some aspects of nonlinear parabolic equations and systems. Paper 1. A note on quenching for parabolic equations with dynamic boundary conditions We present a quenching result for semilinear parabolic equations with dynamic boundary conditions in bounded domains with a smooth boundary. Paper 2. LÄS MER

3. 2. On some nonlinear parabolic partial differential equations

   Författare :Joakim Petersson; Matematik (naturvetenskapliga fakulteten); []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

   Sammanfattning : Licentiate theses i mathematical sciences.... LÄS MER

4. 3. Spatial and Physical Splittings of Semilinear Parabolic Problems

   Författare :Erik Henningsson; Matematik LTH; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; splitting schemes; parabolic equations; semilinear; evolution equations; dissipative; convergence order; dimension splitting; domain decomposition; axonal growth;

   Sammanfattning : Splitting methods are widely used temporal approximation schemes for parabolic partial differential equations (PDEs). These schemes may be very efficient when a problem can be naturally decomposed into multiple parts. LÄS MER

5. 4. Nonlinear Theory of Partially Coherent Optical Waves

   Författare :Tobias Hansson; Chalmers tekniska högskola; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES; Nonlinear optics; partial coherence; beam collapse; saturable logarithmic media; soliton interaction; dressing method; parabolic beams; Wigner transform; invariants; modulational instability;

   Sammanfattning : Nonlinear effects arise in optics as a consequence of the medium properties being modified by the presence of light. Of particular interest are situations where the effect of the nonlinearity can be described by an intensity dependent refractive index and the subsequent interplay with dispersion and diffraction. LÄS MER

7. 5. Splitting schemes for nonlinear parabolic problems

   Författare :Tony Stillfjord; Matematik LTH; []
   Nyckelord :NATURVETENSKAP; NATURAL SCIENCES;

   Sammanfattning : This thesis is based on five papers, which all analyse different aspects of splitting schemes when applied to nonlinear parabolic problems. These numerical methods are frequently used when a problem has a natural decomposition into two or more parts, as the computational cost may then be significantly decreased compared to other methods. LÄS MER