Heated Intra-peritoneal Chemotherapy With Doxorubicin and Cisplatin for Abdominal for Pelvic Tumors in Pediatric Patients

Inclusion Criteria: * Patients must have resectable, primary refractory or recurrent intra-abdominal or pelvic tumors based on imaging studies with measurable disease (\>= 1 cm in 2 perpendicular planes), or primary tumor with peritoneal implants in whom no known other curative treatment exists, and/or patients not on up-front clinical trial * Evidence of macroscopic or microscopic intra-peritoneal seeding (separate from the primary tumor) identified at the time of exploratory surgery with or without primary tumor resection * Peritoneal cancer index (PCI) =\< 20 and surgeons deem high likelihood of complete residual tumor stage R0 (R0) resection * No evidence of distant metastases at the time of enrollment * Histologies to be considered include: rhabdomyosarcoma, liposarcoma, sarcoma (other), ovarian cancer, fallopian tube cancer, gastric cancer, colon cancer, rectal cancer, mesothelioma, and desmoplastic small-round-cell tumor * Patients must be 1-25 years of age at the time of entry into the study * Patients may be included in the study independent of the regimen of previous surgical, radiation, or chemotherapy treatments administered. Given the increased risk of entero-cutaneous fistulae observed in patients treated with HIPEC AFTER radiation therapy, patients will be assessed for risk by radiation oncology * Karnofsky / Lansky performance score of \>= 40 or Eastern Cooperative Oncology Group (ECOG) performance score of 3 or less * Platelet count \>= 50,000 (independent of transfusion) (performed no later than 14 days before surgery) * Prothrombin and partial thromboplastin times =\< 1.2 X normal (performed no later than 14 days before surgery) * Total bilirubin =\< 2 X normal (performed no later than 14 days before surgery) * Serum glutamic-oxaloacetic transaminase (SGOT) =\< 2 X normal (performed no later than 14 days before surgery) * Serum glutamate pyruvate transaminase (SGPT) =\< 2 X normal (performed no later than 14 days before surgery) * Lactate dehydrogenase (LDH) =\< 2 X normal (performed no later than 14 days before surgery) * Alkaline phosphatase =\< 2 X normal (performed no later than 14 days before surgery) * Neutrophil count \>= 750 (performed no later than 14 days before surgery) * Patients must have adequate renal function defined as creatinine clearance (performed no later than 14 days before surgery) or radioisotope GFR (glomerular filtration rate) \>= 70 mL/min/1.73 m\^2 or a serum creatinine based on age/gender less than the following values: * 1 to \< 2 years 0.6mg/dL for both males and females * 2 to \< 6 years 0.8mg/dL for both males and females * 6 to \<10 years 1.0mg/dL for both males and females * A signed informed consent form (and assent form when appropriate) approved by the Mayo Clinic (Institutional Review Board \[IRB\]) will be required for patient enrollment into the study. Patients must be able to read and understand the informed consent document and must sign the informed consent indicating that they are aware of the investigational nature of this study Exclusion Criteria: * Females who are pregnant or breast-feeding during the study period will be excluded * Distant metastatic disease not limited to peritoneum: * Solid organ metastases (liver, central nervous system, lung) * Known bone marrow involvement * No critical cumulative dose of previous chemotherapy (total anthracycline dose not \>= 435 mg / m\^2) * Prior HIPEC within 3 months * Patients with an active infection requiring treatment or having an unexplained febrile illness (Tmax \> 99.5 Fahrenheit \[F\]), patients with known immune deficiency disorder or known human immunodeficiency virus infection * Patients must not have any systemic illness which precludes them from being an operative candidate as determined by anesthesia preoperative evaluation. This includes but is not limited to, sepsis, liver failure, renal failure, cardiovascular failure, pulmonary failure * Subjects deemed unable to comply with study and/or follow-up procedures * Subjects with a known hypersensitivity to protocol systemic chemotherapy that was life-threatening, required hospitalization or prolongation of existing hospitalization, or resulted in persistent or significant disability or incapacitation